Chi-Square Distribution, Correlation & Regression, two population quiz, Inference for two populations, estimating perimeter quiz, Estimating a popular perimeter, Intro to Hypothesis, The Normal Distribution Homework, The Binomial Distribution Homewor...

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Question When a researcher asked 35 people if they liked a new brand of toilet paper; 22 said 'yes', 8 said 'no' and 5 were 'undecided'. If a person is ramdomly selected from this group of people, what is the probability that you select a person who said 'undesided'. Give your answer as a decimal rounded to the ten-thousandsth place.

.1429

Find the coefficient of determination given that the correlation coefficient = -.59 (Give your answer as a decimal rounded to the ten thousandth decimal place.)

.3481

Express the percentage 62.5 % as a decimal rounded to the hundredth place.

.63 How: move decimal two spots left

The height (in inches) of males in the United States is believed to be Normally distributed. The average height of a random sample of 50 American adult males is 69.72 inches and the standard deviation of the 50 heights is s = 4.23. Find the Margin of Error for the 95% Confidence Interval estimate of the true height of males in the United States. Round your answer to the hearest hundredth.

1.17

In the accompanying table, the random variable x represents the number of televisions in a household in a certain country. Find the Standard Deviation of this distribution..(Round to the nearest tenths decimal place.)

1.3 How: Enter both into two different lists (stat, enter). Stat-calc, enter L2 into first option, L3 into second option, enter. ax=standard deviation.

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. A vending machine will only accept coins weighing between 5.48 g and 5.82 g. What percentage of legal quarters will be rejected? Your answer should be a percent rounded to the hundredths decimal place. Please include the '%' symbol.

1.96%

Question The table below shows the soft drinks preferences of people in three age groups. If one of the 255 subjects is randomly selected, find the probability that the person is under 21 years of age or that they drink lemon-lime. Enter your answer as a fully reduced fraction.

1/3 incorrect

Calculate the 5 - number summary for the following Data Set. 24 45 62 78 90 130 34 67 130 10

10 34 64.5 90 130. How: 5 number summary is given at bottom of screen as Min, Q1, Median, Q3, and Max.

Question Calculate the 5 - number summary for the following Data Set. 24 45 62 78 90 130 64 67 130 10

10,45,65.5,90,130

Question Here is a stemplot (with split stems) of body temperatures (in degrees Fahrenheit) for 65 healthy adult women. The 1.5 × IQR rule would identify a temperature as a high outlier if it exceeded...

100

Question For the Data Set below, calculate the Variance to the nearest hundredth decimal place. 27 38 47 42 33 56 37 57 38 52

100.46

In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find P45, which is the consumption level separating the bottom 45% from the top 55%. Round your answer to the nearest tenth.

1022.6

Question What is the Mid - Range of the Data Set below? 2 5 9 12 6 3 17 1 98 213

107

The volume of oxygen consumed (in liters per minute) while a person is at rest and while he or she is exercising (running on a treadmill) was measured for each of 50 subjects. The goal is to determine if the volume of oxygen consumed during aerobic exercise can be estimated from the amount consumed at rest. The results are plotted below. The scatterplot suggests that

BOTH a and b are true

Gallup asked a nationally representative sample of adults about their body image. Among the men in the sample, 103 felt that they were under their ideal weight, 82 felt that they were at their ideal weight, and 304 felt that they were over their ideal weight. Among the women in the sample, 35 felt that they were under their ideal weight, 80 felt that they were at their ideal weight, and 345 felt that they were over their ideal weight. To see if body image is significantly associated with gender, which of the following statistical inference procedure should we use?

Chi-square test for two-way table

Question Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. Is the amount of rain in City B during April a discrete random variable, a continuous random variable, or not a random variable?

Continuous

Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. Is the weight of a T-bone steak a discrete random variable, a continuous random variable, or not a random variable?

Continuous How: A steak doesn't have to be one size, you can have one 1.1 lbs and one 1.2 lbs

Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. Is the number of people in a restaurant that has a capacity of 250 a discrete random variable, a continuous random variable, or not a random variable?

Discrete How: there are an exact amount of ppl

The table below shows the soft drinks preferences of people in three age groups. If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age or that they drink cola. Enter your answer as a fully reduced fraction.

32/51 How: number of ppl over 40 + number of ppl drink cola - number of people who are both 40 and drink cola. This number over the total number, reduced.

For the following Data Set, find the value of the first quartile. 24 45 52 78 90 120 34 67 111 10

34. How: Go to Stat, cal, 1, L1, enter. Scroll to bottom and find the quartile you're looking for.

Question If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years. (Please answer with a fully reduced fraction.)

364/365 incorrect

Stream ecologists are interested in the number of distinct organisms found in streams and whether or not differences exist based on geography. Separate random samples are obtained from sites in Northeastern and Southeastern streams, and the number of distinct organisms is recorded. They are given as separate stemplots for Northeastern and Southeastern streams The median for the number of distinct organisms found in the sample of Northeastern streams is...

37.50 HOW: To find the median, you must put the data in order. The median will be the data point that is in the middle. When there is an even number of numbers, no one of the data points will be in the middle. In this case, we take the average (mean) of the two middle numbers.

Question A maze experiment uses 24 lab rats of various ages, as summarized below. What is the median rat age (in months) for this maze experiment?

Determine whether the samples are independent or consist of matched pairs. The effect of caffeine as an ingredient is tested with a sample of regular soda and another sample with decaffeinated soda. Answer True or False: The example above consists of Matched Pairs.

FALSE

State the null and alternative hypotheses for the claim below. The average number of calories that a diabetic should take in dailly is 1,250 calories.

H0: μ = 1,250 and H1: μ ≠ 1,250

State the null and alternative hypotheses for the claim below. The average number of calories that a diabetic should take in dailly is NOT 1,250 calories.

H0: μ = 1,250 and H1: μ ≠ 1,250

State the null and alternative hypotheses for the claim below. The average number of calories that a diabetic should take in dailly is different from 1,250 calories.

H0: μ = 1,250 and H1: μ ≠ 1,250

State the null and alternative hypotheses for the following claim. The average age of community college statistics students is 21.5 years old.

H0: μ = 21.5 and H1: μ ≠ 21.5

State the null and alternative hypotheses for the following claim. The average age of community college statistics students is NOT 29.5 years old.

H0: μ = 29.5 and H1: μ ≠ 29.5

State the null and alternative hypotheses for the following conjecture. The average age of a senior surgical resident in the United States is 30.8 years old.

H0: μ = 30.8 and H1: μ ≠ 30.8

State the null and alternative hypotheses for the claim below. The average number of calories that a diabetic should take in dailly is at most 1,250 calories.

H0: μ ≤ 1,250 and H1: μ > 1,250

State the null and alternative hypotheses for the claim below. The average number of calories that a diabetic should take in dailly is more than 1,250 calories.

H0: μ ≤ 1,250 and H1: μ > 1,250

State the null and alternative hypotheses for the following claim. The average age of community college statistics students is greater than 21.5 years old.

H0: μ ≤ 21.5 and H1: μ > 21.5

State the null and alternative hypotheses for the following conjecture. The average age of a senior surgical resident in the United States is more than 30.8 years old.

H0: μ ≤ 30.8 and H1: μ > 30.8

State the null and alternative hypotheses for the following claim. The average age of community college statistics students is at least 29.5 years old.

H0: μ ≥ 29.5 and H1: μ < 29.5

State the null and alternative hypotheses for the following conjecture. The average age of a senior surgical resident in the United States is at least 30.8 years old.

H0: μ ≥ 30.8 and H1: μ < 30.8

State the null and alternative hypotheses for the following conjecture. The average age of a senior surgical resident in the United States is less than 30.8 years old

H0: μ ≥ 30.8 and H1: μ < 30.8

State the null and alternative hypotheses for the following conjecture. The average age of a senior surgical resident in the United States is less than 30.8 years old.

H0: μ ≥ 30.8 and H1: μ < 30.8

The accompanying table lists pulse rates. Use a 0.05 significance level and apply the methods of two-way analysis of variance. What is theconclusion? What are the null and alternative hypotheses?

H0: There is no nteraction between gender and age H1: There is an nteraction between gender and age

A researcher claims that the average annual salary of part-time community college instructors is less than $45,000. To test this claim, a sample of 25 part-time community college instructors is selected at random. The sample average is $42,500 with a sample standard deviation of $3,100. State the null and alternative hypotheses for used to test this claim.

Ho: μ ≥ $45,000 and H1: μ < $45,000

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Spinning a roulette wheel 8 times, keeping track of the winning numbers.

Not binomial: there are more than two outcomes for each trial.

Which of the following would be strong evidence against the null hypothesis?

Obtaining data with a small P-value

The American Veterinary Medical Association claims that half of veterinary clinics do not treat large animals (cows, horses, etc.). The American Veterinary Medical Association conducts a survey of veterinary clinics to estimate the proportion that do not treat large animals (cows, horses, etc.). In the survey of 120 randomly selected veterinary clinics throughout the country, 88 responded that they do not treat large animals. Please select all TRUE statements below.

P - value = 0 4. ho:P=.50, H1: P not equal .50

Question The incidence of breast cancer varies depending on a woman's age. The National Cancer Institute gives the following probabilities for a randomly chosen woman in her 50s who takes a mammography to screen for breast cancer: The sensitivity of a screening test is the ability of the test to appropriately give a positive result when the person tested has a given disease. That is, the sensitivity of a screening test is

P(Positive test | Disease)

The data show the list and selling prices (in hundred thousands) for several homes. Find the regressionequation, letting the the selling price be the independent (x) variable. Find the best predicted list price of a home having a selling price of $350,000. Use a significance level of 0.05. selling: 401,300,379,430,455,480,319,354,415,334 list: 411,315,388,436,489,480,320,370,434,342 S342elect all TRUE statements below.

The regression line equation is y = 1.2454 + 1.0272x

When subjects were treated with a drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. Results are given in the table below. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Using a 0.05 significance level, is there sufficient evidence to support the claim that the drug is effective in lowering systolic blood pressure? In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the systolic blood pressure reading before the drug was taken minus the reading after the drug was taken. What is the correct decision for this hypothesis test?

Since the P-value is greater than the significance level, fail to reject H0. There is insufficient evidence to support the claim that the drug is effective in lowering systolic blood pressure.

Which of the following is NOT a principle of making inferences from dependent samples?

Testing the null hypothesis that the mean difference equals 0 is not equivalent to determining whether the confidence interval includes 0.

A researcher claims that at least 10% of young children suffer from some food allergy. A survey of food allergies in a random sample of 184 young children found that 13 had some food allergy. Please select any of the statements below which are TRUE.

The P-value for this hypothesis test is 0.092 HO: P greater equal .10, H1: P less .10

Assume that a simple random sample has been selected and test the given claim. Claim: The average age of actresses when they win an acting award is 34 years old To test this claim a simple random sample (SRS) of 27 actresses is used. This sample of 27 actresses had a sample mean of 35.4 years and a standard deviation = 11.2 years. Assume the the distribution of actresses ages is approximately normal. Select all TRUE statements from those given below..

The correct decision is to "support" (fail to reject) the null hypothesis H0. 2. ho/h1 3. We decide to "support" the claim that the average age of actresses when they win an acting award is 34 years old. 5. For this hypothesis test, the P-value = .522

Which of the following statements is TRUE?`

The correlation coefficient is a unitless number and must always lie between -1.0 and +1.0, inclusive.

Which of the following properties DOES NOT apply to the standard normal distribution?

The distribution is bi-modal.

Question The table below lists probabilities for the corresponding numbers of girls in three births. What is the random variable, what are its possible values, and are its values numerical?

The random variable is x, which is the number of girls in three births. The possible values of x

Question A car dealer wants to draw a Pie Graph representing the different types of cars he sold in a given month. He sold a total of 270 this month with 45 of those cars being convertables. How many degrees should be used to represent convertables in the Pie Graph? (You do not have to use the degree symbol in your answer.)

Wrong: 45

Question A sample of 40 endangered species was obtained and the length of time (in months) since being placed on the list was recorded for each species. A stemplot of these data follows. In the stemplot, 5|2 represents 52 months. What would be a better way to represent this data set?

Wrong: Display the data in a time plot.

Question Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. Salaries of college professors.

Wrong: Ordinal

Question Here is a histogram of the yearly number of unprovoked attacks by alligators on people in Florida over a 33-year period. What is the overall shape of the distribution?

Wrong: Strongly skewed to the left

Question Compare the two distributions given by the 5-number summaries below. Based on these 5 - numbers summaries, select the best choice from those given. Distribution A : Min. = 3 , Q1 = 15 , Med. = 17 , Q3 =19 , Max. = 30 Distribution B : Min. = 13 , Q1 = 15 , Med. = 17 , Q3 = 19 , Max. = 21

Wrong: The mean of Distribution A > the mean of Distribution B.

Question A survey records many variables of interest to the researchers conducting the survey. The following are some of the variables from a survey conducted by the USDA. Which of these variables is categorical?

Wrong: The number of acres owned

Question The graph to the below compares teaching salaries of women and men at private colleges and universities. Does the graph depict the data fairly?

Wrong: Yes, because the vertical scale is appropriate for the data.

Question Brown tree snakes are an invasive species causing huge environmental and financial damage in Guam. In June 2000, researchers captured 504 brown tree snakes on Guam's Andersen Air Force Base. On average, the snakes weighed 121 g, and ranged from 23 to 663 g at capture. From this information we conclude that the distribution of brown tree snake masses must be

Wrong: left skewed, have a low outlier, or both.

Determine if the following formula defines a probability distribution. P(x) = x + 0.01 for x = 0.47, 0.31, and 0.19

Yes

Determine if the following formula defines a probability distribution. P(x) = x + 0.12 for x = 0.36, 0.20, and 0.08

Yes

Researchers fed 5 cockroaches a sugar solution. Ten hours later, they dissected the 5 cockroaches and measured the amount of sugar in various tissues. The amounts (in micrograms) of d-glucose in the 5 cockroaches are recorded A 'T-Test' using the 'Student-t' distribution was the hypothesis test used in this example. A 'T-Test' is used to reach conclusions about the... (Please select the one best naswer from those given below.)

glucose u for population of all lab

The birth weights of a random sample of 26 baby boys are displayed in the following Normal quantile plot. (dot up and to right) Based on the graph, we determine that the data

have a low outlier.

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. You are asked to find the probability that a given score is more than −0.54. Which of the images below best represents the skertch of the region?

blue on the right

blue right

Consider the following scatterplot. The form of the relationship represented in the plot is best described as

clusters

Question Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. Is the number of statistics students now doing their homework a discrete random variable, continuous random variable or not a random variable? Choices 1. It is a continuous random variable. 2. It is a discrete random variable 3. It is not a random variable.

discrete

Five strains of the Staphylococcus aureus bacteria were grown for 24 hours either at 35 degrees Celsius or at 43 degrees Celsius. Here are the resulting bacterial counts for each condition: 24 hr: 66, 71, 93, 102, 62 48hr: 110,123,146,136,113 If we had plotted bacterial count at 35 degrees Celsius on the y-axis instead of the x-axis, the value of the correlation coefficient would be

exactly the same.

Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the table. It is unusual to select 14 newborn babies randomly and find at most 4 girls in the sample. Answer True or False;

false

Assume that there is a 0.15 probability that a basketball playoff series will last four games, a 0.30 probability that it will last five games, a 0.25 probability that it will last six games, and a 0.30 probability that it will last seven games. It is unusual for a team to win a series in 7 games. Answer True or False.

false

Question Event B is independent of Event A? (Answer True or False.) A: You cook your chicken improperly. B: You get salmonella poisoning.

false

Question The table below shows the soft drinks preferences of people in three age groups. If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age given that they drink root beer.

non of the above incorrect

A stemplot of a set of data is roughly symmetric, but the data do not even approximately follow the 68-95-99.7 rule. We conclude that the data are

not Normal.

The median age of five people on a committee is 30 years. One of the members, whose age is 50 years, resigns. The median age of the remaining four people in the committee is

not able to be determined from the information given.

A sociologist wants to determine if the place where a person lives is dependent upon his/her level of education. The table below summarizes the randomly collected data. Location HS degree 4 Year College Degree Advanced Degree City 28 26 25 Suburbs 27 26 22 Rural 25 28 25 Sellect the best choice from those below:

p - value = .98; therefore support Ho, support that there is no relationship, therefore the place a person lives is independant of the level of education.

Question Any characteristic of a population distribution may properly be referred to as a... Please choose from the answers below.

parameter.

The data in the scatterplot below are from a small data set. The data were classified as either being collected in the winter or in the summer. Those collected in the winter are indicated by open circles and those in the summer by solid circles. The overall correlation coefficient for the data in this scatterplot is (looks like baseball seams)

positive

Bird species from temperate regions must cope with relatively short breeding seasons. A study examined the relationship between blood testosterone level (ng/ml) and the duration of the egg-laying period (months) in temperate bird species. The scatterplot below displays this relationship, after taking the logarithm of each variable. If the measurements were switched so that logarithm of testosterone level was treated as an explanatory rather than a response variable, then the correlation coefficient r would

remain unchanged because correlation doesn't depend on which variable is explanatory.

The following Normal quantile plot displays the body temperature (in degrees Celsius) of a sample of 129 healthy adults. (doubles up an d to right) Based on the graph, you determine that the distribution of body temperatures is

roughly Normal.

The following Normal quantile plot displays the brain volumes of 30 autistic children. (up and to right) Based on the graph, you determine that the distribution of brain volumes is

roughly Normal.

A researcher was interested in the survival times of brook trout after their exposure to increased levels of total dissolved solids. The following quantile-quantile plot was obtained. (mostly up scatters to right) Based on the graph, she can determine that the data are

skewed right.

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. You are asked to find the probability that a given score is more than + 1.67. Which of the images below best represents the skertch of the region?

small blue on right

Consider the following scatterplot of two variables X and Y. (looks ike perfect v)

the correlation coefficient between X and Y is close to 0.

You conduct a statistical test of hypotheses. You find that the null hypothesis is statistically significant at level a = 0.05. You may conclude that

the test would also be significant at level a = 0.10.

Tail-feather length in birds is sometimes a sexually dimorphic trait. That is, the trait differs substantially for males and for females. Researchers studied the relationship between weight (x) and tail-feather length (y) in a sample of five wild male long-tailed finches. Here are the data: weight 20.8,19.1,15.9,16.7,15.7 tail 82.5,82.5,67,70.5,73.5 We conclude that

there is a reasonably strong positive association between weight and tail-feather length.

true

Assume that there is a 0.05 probability that a sports playoff series will last four games, a 0.45 probability that it will last five games, a 0.45 probability that it will last six games, and a 0.05 probability that it will last seven games. It is unusual for a team to win a series in 7 games. Answer true or false.

true

Focus groups of 12 people are randomly selected to discuss products of the Famous Company. It is determined that the mean number (per group) who recognize the Famous brand name is 7.1, and the standard deviation is 0.70. It is unusual to randomly select 12 people and find that greater than 11 recognize the Famous brand name. Answer True or False

true

Question Determine whether the samples are independent or consist of matched pairs. The accuracy of verbal responses is tested in an experiment in which individuals report their heights and then are measured. The data consist of the reported height and measured height for each individual. Answer True or False: The example above consists of Matched Pairs.

true

Select the correct requirments for a 'Standard Normal' Distribution from the choices below

u=0 0=1

Question The volume of oxygen consumed (in liters per minute) while a person is at rest and while he or she is exercising (running on a treadmill) was measured for each of 50 subjects. The goal is to determine if the volume of oxygen consumed during aerobic exercise can be estimated from the amount consumed at rest. The results are plotted below. In this study, the response variable is the

volume of oxygen consumed while running.

Question Determine whether the events are mutally exclusive. Answer 'yes' if they ARE mutually exclusive. Answer 'no' if they ARE NOT mutually exclusive. A person is an advanced swimmer. The same person is an intermediate swimmer.

yes

Express the percentage 0.35 % as a decimal rounded to the thousandsth place.

.004 How: move decimal two spots left

Question When a standard pair of six sided dice are rolled, what is the probability of getting a 6? (Express your answer as a decimal rounded to the thousandsth place.)

.139 https://www.freemathhelp.com/rolling-dice.html

A contractor is considering a sale that promises a profit of $31,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of $12,000 with a probability of 0.3. What is the expected profit?

$18,100

A golf resort loses $100,000 in a bad season when it rains almost every day and makes a profit of $450,000 in a good season when the weather is nice most of the season. For any year, the likelihood of a good season is 90% because it hardly ever rains in California. What is the expected value (profit/lose) for this golf resort?

$395,000

A card player (Texas Holdem') loses $100 in a neighborhood card game on the nights that he loses and wins $300 on the nights that he wins. He's really not too lucky because he loses most of the time (65%). What is this card players "expected value".

$40

A card player (Texas Holdem') loses $500 in a neighborhood card game on the nights that he loses and wins $800 on the nights that he wins. He's really not too lucky because he loses most of the time (55%). What is this card players "expected value".

$85

A ski resort loses $60,000 in a bad season when it does not snow very much and makes a profit of $250,000 in a good season when there is plenty of snow. For any year, the likelihood of a good season is 50% (50/50). What is the expected profit/lose for this ski resort?

$95,000

A study examined the effectiveness of Botox injections in the corrugator supercilii muscles for the treatment of chronic migraines. Of the 29 migraine-prone patients participating in the study, 24 reported some form of improvement. The 95% confidence interval for the population proportion of migraine patients who benefit from such Botox injections is Give your answer using interval notation with the decimals rounded to four decimal places.

(.6901,.9651)

Suppose you buy 1 ticket for $1 out of a lottery of 1,000 tickets where the prize for the one winning ticket is to be $500. What is your expected value?

- $0.50

A 28-year-old man pays $175 for a one-year life insurance policy with coverage of $50,000. The probability that he will live through the year is 0.9994. What is the expected value for the insurance policy?

- $144,90

Data on the water quality in the eastern United States was obtained by a researcher who wanted to ascertain whether or not the amount of particulates in water (ppm) could be accurately used to predict water quality score. Suppose we fit the following simple linear regression model: Y = - 0.009 X + 6.214 and The Coefficient of Determination = 0.005 Find the correlation coeficient between the amount of particulates to the nearest thousandths decimal place.

- 0.071

In a sample of 80 Americans, 65% wished that they were rich. In a sample of 90 Europeans, 60% wished that they were rich. Find the 99% confidence interval for the difference of the two proportions. Sellect all correct statements below based on the data given in this problem.

-.1412 ≤ p1 - p2 ≤ .2412 AND There is no statistical difference in the percentage of Americans and Europeans who wish that they were rich at α = .01.

In San Jose a sample of 73 mail carriers showed that 10 had been bitten by an animal during one week. In San Francisco in a sample of 80 mail carriers, 16 had received animal bites. Is there a significant difference in the proportions? Use a 0.05. Find the 95% confidence interval for the difference of the two proportions. Sellect all correct statements below based on the data given in this problem.

-.1809 ≤ p1 - p2 ≤ .0549 AND The rate of mail carriers being bitten in San Jose and San Francisco are statistically equal at α = 5%

Find the critical value for a left-tailed hypothesis test in which α = .02 Assume that this is a normal distribution. Round your answer to the thousandth decimal place.

-2.054

Question It is claimed that 10 year old boys and girls both have the same average height (52 inches). A researcher studies 65 boys and finds that their average height is 50.8 with a variance of 98. The 111 girls in the study had an average height of 53.1 with a variance of 123. Construct a 95% confidence interval for the difference in the heights of 10 year old boys and girls based on these samples. Does the confidence interval support the claim that 10 year old boys and girls have the same average height?

-5.471 ≤ μ1 - μ2 ≤ .871, This confidence interval does support the claim.

It is claimed that 10 year old boys and girls both have the same average height (52 inches). A researcher studies 65 boys and finds that their average height is 51.8 with a variance of 98. The 111 girls in the study had an average height of 54.9 with a variance of 123. Construct a 95% confidence interval for the difference in the heights of 10 year old boys and girls based on these samples. Does the confidence interval support the claim that 10 year old boys and girls have the same average height?

-6.271 ≤ μ1 - μ2 ≤ .07117 This confidence interval does support the claim.

A large fishing farm with thousands of fish has been treating its fish to stop a spreading fungal infection. The owner of the fishing farm claims that fewer than 25% of the fish are infected. A random sample of 50 fish is taken to determine the proportion p that is infected in this population. A careful examination determines that 6 of the fish sampled are infected. Please select any of the statements below which are TRUE.

. The P-value for this hypothesis test is 0.017 4. For this hypothesis test since the P-value is less than or equal to alpha means we reject the null hypothesis.

In a batch of 8,000 clock radios 8% are defective. A sample of 12 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected? Answer with a decimal rounded to the third decimal place.

.632 How: using complement rule. .08's complement is .92 chance that non will be defective. The complement of "at least one" is "None" so 1-P(none are defective). 1-.92^12=.632

The American Veterinary Medical Association conducted a survey of veterinary clinics to estimate the proportion that do not treat large animals (cows, horses, etc.). The survey was mailed to 120 randomly selected veterinary clinics throughout the country, and, 88 responded they do not treat large animals. The 95% confidence interval for the proportion of veterinary clinics that do treat large animals is Give your answer using 'Margin of Error' (plus or minus) notation with the decimals rounded to the third decimal place.

.733+/-..079

Question The incidence of breast cancer varies depending on a woman's age. The National Cancer Institute gives the following probabilities for a randomly chosen woman in her 40s who takes a mammography to screen for breast cancer: If a randomly chosen woman in her 40s taking the mammography screening test gets a positive test result, the probability that she indeed has breast cancer is the positive predicted value, PPV = P(Cancer | Positive test).

.800 wrong

Assume that a simple random sample has been selected and test the given claim. Claim: The average age of actresses when they win an acting award is more than 34 years old To test this claim a simple random sample (SRS) of 27 actresses is used. This sample of 27 actresses had a sample mean of 31.4 years and a standard deviation = 11.2 years. Assume the the distribution of actresses ages is approximately normal. Select all TRUE statements from those given below..

.ALL-- 2. For this hypothesis test, the test statistic is t = -1.21. 3. We decide to reject the claim that the average age of actresses when they win an acting award is more than 34 years old. 4. The correct decision is to "support" (fail to reject) the null hypothesis H0. 5. For this hypothesis test, the P-value = .881

Question When a standard pair of six sided dice are rolled, what is the probability of getting a 13?

When a standard pair of six sided dice arecrolled, what is the probability of getting a 17?

0 How: two dice will never equal anything over 12

Question In a homicide case 6 different witnesses picked the same man from a line up. The line up contained 5 men. If the identifications were made by random guesses, find the probability that all 6 witnesses would pick the same person.

0.000064 wrong

To the nearest thousandth, find the "p-value" in a right-tail hypothesis test given the Test Statistics z = 2.57

0.0050

I f space P left parenthesis A right parenthesis space equals space 0.991 comma space w h a t space i s space t h e space v a l u e space o f space P left parenthesis top enclose A right parenthesis ?

0.009 How: Rule of complements it must equal 1. 1-the total given gives us the answer.

Find the "p-value" in a right-tail hypothesis test performed in the "t-Distribution" when n = 22 and the test statistic = 2.518. Give your answer to the nearest hundredth decimal place.

0.01

For women aged 18-24, systolic blood pressures (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation of 13.1. If 23 women aged 18-24 are randomly selected, find the probability that their mean systolic blood pressure is between 119 and 122. Your answer should be a decimal rounded to the fourth decimal place.

0.0577

The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that the diameter of a randomly selected pencil will be less than 0.285 inches? Your answer should be a decimal rounded to the fourth decimal place.

0.0668

A student who didn't study for the upcoming quiz decides to 'wing it' and just guess on the 10 question quiz. Every question has 5 choices (a - e). What is the pobability that he will pass the quiz with a grade of at least 70%? Please express your answer as a percent rounded to the hundredths decimal place. Include the '%' symbol.

0.086%

To the nearest thousandths, find the 'p-value' for a left-tail hypothesis test for which the Test Statistics z = -1.21.

0.113

0.122

The scores on a certain test are normally distributed with a mean score of 69 and a standard deviation of 4. What is the probability that a sample of 90 students will have a mean score of at least 69.4216? Your answer should be a decimal rounded to the fourth decimal place.

0.1587

0.183

In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh If 50 different homes are randomly selected, find the probability that their mean energy consumption level for September is greater than 1075 kWh. Your answer should be a decimal rounded to the fourth decimal place.

0.209

Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the table. Find the probability of selecting at least 9 girls.

0.212

In a college graduating class of 150 seniors, 30 have jobs waiting, 5 are going to medical school, 15 are going to law school and 25 are going to other kinds of graduate schools. If a senior from this college is selected at random, what is the probability that he/she will be going to a graduate school of some kind? Express your answer as a decimal rounded to the tenth place.

0.3 How: add all the types of graduate schools and divide by number of total students (45/150)

A IRS auditor randomly selects 3 tax returns from 45 returns of which 10 contain errors. What is the probability that she selects none of those containing errors?

0.4612 How: I have no idea

A large fishing farm with thousands of fish has been treating its fish to stop a spreading fungal infection. The owner of the fishing farm claims that fewer than 10% of the fish are infected. A random sample of 50 fish is taken to determine the proportion p that is infected in this population. A careful examination determines that 6 of the fish sampled are infected. The test statistic for the above hypothesis test of proportion of fish that are infected is... (Round your answer to two decimal places.)

0.47

When a researcher asked 35 people if they liked a new brand of toilet paper; 22 said 'yes', 8 said 'no' and 5 were 'undecided'. If a person is ramdomly selected from this group of people, what is the probability that you select a person who said 'yes'. Give your answer as a decimal rounded to the hundredth place.

0.63 How: Number of people who said yes (22) divided by number of people total (35)=0.628, round

Clinical literature reports that the duration of a typical cold is roughly 18 days. Researchers wanted to know if people tend to underestimate the duration of a typical cold, on average. They surveyed a random sample of 352 healthy adults in Georgia and asked them how long they think that a typical cold lasts. The researchers reported a 95% confidence interval of 6.9 to 8.2 days for the mean expected duration of typical cold. The numerical value of the margin of error for the confidence interval reported here is _____ days.

0.65

The American Veterinary Medical Association conducted a survey of veterinary clinics to estimate the proportion that do not treat large animals (cows, horses, etc.). In the survey of 120 randomly selected veterinary clinics throughout the country, 88 responded they do not treat large animals. The proportion 'p-hat' for the proportion of clinics that do not treat large animals is... (Give your answer as a two place decimal)

0.73

The American Veterinary Medical Association conducted a survey of veterinary clinics to estimate the proportion that do not treat large animals (cows, horses, etc.). The survey was mailed to 120 randomly selected veterinary clinics throughout the country, and, 88 responded they do not treat large animals. The best point estimate for a 95% confidence interval for the proportion of veterinary clinics that do not treat large animals is___. Round your answer to the thousandths decimal place.

0.733

A phycologist is interested in determining the proportion of algae samples from a local rivulet that belonged to a particular phylum. A random sample of 50 alga was obtained and each alga was categorized as either being cyanobacteria or not. It was found that 38 were, in fact, cyanobacteria. The proportion 'p-hat' that were cyanobacteria is

0.76

0.788

Tail-feather length in birds is sometimes a sexually dimorphic trait. That is, the trait differs substantially for males and for females. Researchers studied the relationship between weight (x) and tail-feather length (y) in a sample of five wild male long-tailed finches. Here are the data: Same as above The value of the linear correlation coefficient between weight and tail feather length is approximately

0.888.

The average amount of money that a student at Stanford University carries on his/her person is $45 with a standard deviation of $10. What is the probability that a randomly sample of 12 Stanford University students will have an average of less than $50 on them? (Give your answer as a decimal rounded to 4 decimal places)

0.9582

In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, that is the probability that no more than 6 belong to an ethnic minority? Round your answer to four decimal places.

0.9815

Human body temperatures are normally distributed with a mean of 98.20oF and a standard deviation of 0.62oF If 19 people are randomly selected, find the probability that their mean body temperature will be less than 98.50oF. Your answer should be a decimal rounded to the fourth decimal place.

0.9826

Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the table. Find the probability of selecting fewer than 12 girls.

0.993

Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the table. Find the probability of selecting at least 2 girls.

0.999

Identify the type II error. Choose the correct answer below.

1. Fail to reject the null hypothesis that the percentage of adults who have a job is equal to 88% when that percentage is actually less than 88%.

Identify the type II error. Choose the correct answer below

1. Fail to reject the null hypothesis that the percentage of households with Internet access is equal to 60% when that percentage is actually greater than 60%.

A safety administration conducted crash tests of child booster seats for cars. Listed below are results from thosetests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. 756 742 1219 639 636 580 Please select all TRUE statements from those given below.

1. For this hypothesis test n = 6 3. For this hypothesis test the P-value = .0275

A research sports medicine physician claims that athletes who train using 'cardio workouts' on a regular basis have a maximum oxygen uptake no more than the average of all adults which (is 39 ml/kg). To test his claim he randomly samples 105 'cardio workout' athletes and finds that the sample average is 42.3 ml/kg with a sample standard deviation of 6 ml/kg. Please select all TRUE statements below.

1. For this hypothesis test the P-value = 0. 2. For this hypothesis test the test statistic = 5.64 3. Ho: μ ≤ 39 and H1: μ > 39 4. We decide to reject the sports medicine physician's claim that athletes who train using "cardio workouts" on a regular basis have a maximum oxygen uptake no more than the average of all adults. 5. For this hypothesis test since P-value is less than alpha we reject the null hypothesis.

A researcher claims that the average annual salary of part-time community college instructors is at least $45,000. To test this claim, a sample of 45 part-time community college instructors is selected at random. The sample average is $42,500 with a sample standard deviation of $3,100. Please select all TRUE statements below.

1. For this hypothesis test the P-value = 0. Therefore we reject the Ho and reject the researcher's claim that the average annual salary of part-time community college instructors is at least $45,000. 5. Ho: μ ≥ $45,000 and H1: μ < $45,000

The Kaiser Medical Foundation claims that the cost to rehabilitate a football player following a head injury is at least $28,500. To test this claim a researcher surveys the medical billing records of 45 football players who were treated for head injuries. The average cost for rehabilitation in this randomly selected sample is $30,885 with a standard deviation of $1,123. Is the actual cost of rehabilitation at least $28,500 as Kaiser claims? Please select al TRUE statements for this hypothesis test.

1. For this hypothesis test the P-value = 1 2. We decide to "support" Kaiser's claim that the cost to rehabilitate a football player following a head injury is at least $28,500. 4. For this hypothesis test the test statistic is 14.25 5. HO u greater/equal 28500, H1 u less 28500

A research sports medicine physician claims that athletes who train using 'cardio workouts' on a regular basis have a maximum oxygen uptake which is at least equal to the average of all adults (which is 39 ml/kg). To test his claim he randomly samples 105 'cardio workout' athletes and finds that the sample average is 42.3 ml/kg with a sample standard deviation of 6 ml/kg. Please select all TRUE statements below.

1. For this hypothesis test the test statistic = 5.64 3. For this hypothesis test the P-value = 1. 4. We decide to "support" the sports medicine physician's claim that athletes who train using "cardio workouts" on a regular basis have a maximum oxygen uptake which is at least equal to the average of all adults. 5. For this hypothesis test since P-value is greater than alpha we fail to reject (or "support") the null hypothesis.

The Kaiser Medical Foundation claims that the cost to rehabilitate a football player following a head injury is at most $28,500. To test this claim a researcher surveys the medical billing records of 45 football players who were treated for head injuries. The average cost for rehabilitation in this randomly selected sample is $30,885 with a standard deviation of $1,123. Is the actual cost of rehabilitation at most $28,500 as Kaiser claims? Please select al TRUE statements for this hypothesis test.

1. For this hypothesis test the test statistic is 14.25 2. We decide to "reject" Kaiser's claim that the cost to rehabilitate a football player following a head injury is at most $28,500. 3. Ho: μ ≤ $28,500 and H1: μ > $28,500 4. For this hypothesis test the P-value = 0

1. For this hypothesis test the test statistic is 14.25 3. For this hypothesis test the P-value = 1 4. We decide to "support" Kaiser's claim that the cost to rehabilitate a football player following a head injury is at least $28,500. 5. HO; u greater/equal 28500, h1 u less 28500

The Kaiser Medical Foundation claims that the cost to rehabilitate a football player following a head injury is more than $28,500. To test this claim a researcher surveys the medical billing records of 45 football players who were treated for head injuries. The average cost for rehabilitation in this randomly selected sample is $30,885 with a standard deviation of $1,123. Is the actual cost of rehabilitation more than $28,500 as Kaiser claims? Please select al TRUE statements for this hypothesis test.

1. Ho: μ ≤ $28,500 and H1: μ > $28,500 3. For this hypothesis test the test statistic is 14.25 4. For this hypothesis test the P-value = 0 5. We decide to "support" Kaiser's claim that the cost to rehabilitate a football player following a head injury is more than $28,500.

Event A occurs with probability 0.3, and event B occurs with probability 0.4. If A and B are independent, we may conclude that

1. P(A and B) = 0.12. 2. P(A|B) = 0.3. 3. P(B|A) = 0.4. All of the above: How: They are independent

Randomly selected birth records were obtained, and categorized as listed in the table to the right. Use a 0.01 significance level to test the reasonable claim that births occur with equal frequency on the different days of the week. sun 49 mon 63 tues 58 wed 63 thurs 57 fri 61 sat 46 Choose ALL correct statements from those given below.

1. P-value = 0.5669 3. X2 = 4.821 4. Fail to reject H0. There is insufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week. 5. H0: Births occur with the same frequency on the different days of the week. H1: At least one day has a different frequency of births than the other days.

A medical supply manufaturer claims that their first-aid cream contains, on average, more than 25 mg of the active ingredient. The amounts of active ingrediant is known to vary Normally from tube to tube. You select a simple random sample of 9 tubes and assess the quantity of active ingredient they contain. The 9 amounts, in mg, are; 23 24 23 29 28 26 27 28 26 A hypothesis test to test the medical supply manufacturer's claim is conducted using these9 tubes. From the statements below which relate to this hypothesis test, please select all TRUE statements.

1. Since P-value is greater than 5%, we fail to reject the H0, null hypothesis. 2. The P-value = .108 4. We reject the medical maufacturer's claim that their first-aid cream contains, on average, more than 25 mg of the active ingredient. 5. The n = 9

Researchers wanted to know if people, on average, tend to underestimate the duration of a typical cold. Clinical literature reports that the actual duration of a typical cold is roughly 18 days. The researchers surveyed a random sample of 352 healthy adults and asked them how long they think that a typical cold lasts. The results of this survey were that the average time that the 352 people thought a cold lasts was one week (7 days) with a standard deviation of .5 days. So, according to this survey, do people tend to underestimate the duration of a cold (with statistical significance)? Please select all TRUE statements below based on this hypothesis test.

1. THis survey supports the researcher's claim that people, on average, tend to underestimate the duration of a typical cold. 2. The test statistic for this hypothesis test is -412.77 3.ho u greater/equal 18, h1 u less 18 5. For this hypothesis test the P-value = 0. So, we reject Ho.

A medical supply manufaturer claims that their first-aid cream contains, on average, at least 30 mg of the active ingredient. The amounts of active ingrediant is known to vary Normally from tube to tube. You select a simple random sample of 9 tubes and assess the quantity of active ingredient they contain. The 9 amounts, in mg, are; 23 24 23 29 28 26 27 28 26 A hypothesis test to test the medical supply manufacturer's claim is conducted using these9 tubes. From the statements below which relate to this hypothesis test, please select all TRUE statements

1. The df = 8 and HO

The data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the systolic reading be the independent (x) variable. Find the best predicted diastolic pressure for a person with a systolic reading of 118 Use a significance level of 0.05. (same as above) Select all TRUE statements below.

1. There is correlation between Systolic and Diastolic blood pressure in the table shown above at a significance level of 0.05. . 2. The regression line equation is y = - 8.94 + 0.751x 3. The best predicted diastolic pressure for a person with a systolic reading of 118 is 79.68 4. P-value = .0013

Researchers wanted to know if people, on average, tend to underestimate the duration of a typical cold. Clinical literature reports that the actual duration of a typical cold is roughly 18 days. The researchers surveyed a random sample of 352 healthy adults and asked them how long they think that a typical cold lasts. The results of this survey were that the average time that the 352 people thought a cold lasts was two weeks (14 days) with a standard deviation of .5 days. So, according to this survey, do people tend to underestimate the duration of a cold (with statistical significance)? Please select all TRUE statements below based on this hypothesis test.

1. This survey supports the researcher's claim that people, on average, tend to underestimate the duration of a typical cold. 2. For this hypothesis test the P-value = 0. So, we reject Ho. 3. ho u greater/equal 18, h1 u less 18 The test statistic for this hypothesis test is -150.1

A simple random sample of 12 adults is obtained from a normally distributed population, and each person's red blood cell count (in cells per microliter) is measured. The sample mean is 5.10 and the sample standard deviation is 0.56. Use a 0.05 significance level and the given TI-83/84 calculator display to test the claim that the sample is from a population with a mean of at least 5.4 (which is a value often used for the upper limit of the range of normal values). Please select all TRUE statements from those given below.

1. We decide to reject the H0; null hypothesis 2. The P-value is .045 4. ho 5. The Student - t "test statistic" is -1.86

A safety administration conducted crash tests of child booster seats for cars. Listed below are results from thosetests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.05 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. 756 742 1219 639 636 580 Please select all TRUE statements from those given below.

1. ho 2. For this hypothesis test the P-value = .0275 3. There is strong evidence that the mean is less than 1000 hic, but one of the booster seats has a measurement that is greater than 1000 hic. 5. For this hypothesis test the test statistic t = -2.493

In a manual on how to have a number one song, it is claimed that a song must be longer than 210 seconds. A simple random sample of 20 current hit songs results in a mean length of 204.3 sec and a standard deviation of 54.14 sec. Use a 0.05 significance level and the accompanying TI -83 display to test the claim. Please select all TRUE statements from those given below.

1. ho 2. The Student - t Test Statistic is t = -0.47 3. The P-value for this hypothesis test is approximately 0.678. 4. The correct decision is to fail to reject the H0 null hypothesis.

Refer to the accompanying data table, which shows the amounts of nicotine (mg per cigarette) in king-size cigarettes, 100-mm menthol cigarettes, and 100-mm nonmenthol cigarettes. The king-size cigarettes are nonfiltered, while the 100-mm menthol cigarettes and the 100-mm nonmenthol cigarettes are filtered. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of nicotine. Given that only the king-size cigarettes are notfiltered, do the filters appear to make a difference? Please select all TRUE statements below.

1. ho/h1 2. The test F statistic = 3.9510 3. Given that the king-size cigarettes have the largest mean, it appears that the filters do make a difference (although the conclusion is not justified by the results from analysis of variance). 4. The conclusion to this ANOVA Test is; Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. 5. P-value = 0.0313

Find the standard deviation for a bionomial distribution where n = 225 and p = .37. Round the answer to the hundredths decimal place.

7.24

When engaging in weight-control (fitness/fat burning) types of exercise, a person is expected to attain about 60% of their maximum heart rate. For 20-year-olds, this rate is approximately 120 bpm. A simple random sample of one hundred 20-year-olds was taken, and the sample mean was found to be 107 bpm with a standard deviation of 45 bpm. Researchers wonder if this is evidence to conclude that the expected level is actually lower than 120 bpm. The 95% confidence interval for the population mean weight control heart rate, m, of 20-year-olds is...

107 ± 8.8.

In a statistics class there are 11 juniors and 6 seniors; 4 of the seniors are females; 6 of the juniors are males. If a student is selected at random, what is the probability that the student is either a senior or a male? Enter your answer as a fully reduced fraction.

12/17. How: P(6)+P(8)-P(2)=12/17(total amount)

Find the mean , µ, for a bionomial distribution where n = 50 and p = .275. Round the answer to the hundredths decimal place.

13.75

Question In a statistics class there are 11 juniors and 8 seniors; 4 of the seniors are females; 6 of the juniors are males. If a student is selected at random, what is the probability that the student is either a senior or a female? Enter your answer as a fully reduced fraction.

13/19 how: p(a)+p(b)-P(a and b)/total

What is the Mid - Range of the Data Set below? 4 7 9 29 1 17 15

15. How: Midrange is Max+Min/2 (average of max and min) (29+1/2)

The lengths of one-year-old baby girls can be described using a Normal distribution with a mean of 29 inches and a standard deviation of 1.2 inches. Using the Empirical '68-95-99.7' Rule, what percent of one-year-old girls are smaller than 27.8 inches?

16%

A statistics student would like to estimate the average age of students at her college. She would like to be 85% confident that her estimate includes the actual college population mean. She did a smaller preliminary survey and found that a reasonable estimate of the population standard deviation was 4 1/2 years. How many people must she survey if she wants to be within 1/2 year of the true population mean? Please round OFF your answer to the nearest integrer.

168

Question Researchers fed cockroaches a sugar solution. Ten hours later, they dissected the cockroaches and measured the amount of sugar in various tissues. Here are the amounts (in micrograms) of d-glucose in the hindguts of 5 cockroaches: 55.95 68.24 52.73 21.50 23.78 From previous work, the researchers expected the population of responses to be Normal. The insects are a random sample from a cockroach population grown in the laboratory. A 95% confidence interval for the mean amount of d-glucose in cockroach hindguts under these conditions is

18.69 to 70.19.

Find the mean , µ, for a bionomial distribution where n = 70 and p = .275. Round the answer to the hundredths decimal place.

19.25

41 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 20.6 pounds and a standard deviation of 3.2 pounds. What is the 95 percent confidence interval for the true mean weight, μ, of all packages received by the parcel service?

19.6 < μ < 21.6

A drug company claims that fewer than 1% of pills that it produces and ships fail to retain full potency after 60 days of production. An inspector inspects a shipment of medications to determine the efficacy in terms of the proportion p in the shipment that failed to retain full potency after 60 days of production. To do so, she selects an SRS of 200 pills. Suppose that eight of the 200 pills have failed to retain their full potency. Please select all TRUE statement below.

2. HO: P greater equal.01, HI: P less .01 3. The P-value for this hypothesis test is 1. 4. Since P-value > alpha, we fail to reject Ho. 5. We reject the drug company's claim that fewer than 1% of pills that it produces and ships fail to retain full potency after 60 days of production.

Which of the following is a type I error?

2. Reject the claim that the proportion of settled malpractice suits is 0.24 when the proportion is actually 0.24.

In past years, the average time that it takes for a woman to complete the San Francisco Marathon was 4.62 hours. This year the average time for the 3845 women who finished the SF Marathon was 4.59 hours with a standard deviation of 1.11 hours. Can it be concluded that this years average time for women to finish the SF Marathon is statistically significantly the same as the past years' average time? Please select all TRUE statements from those given below.

2. The P-value = .094 and we decide to "support" the claim that this years average time for women to finish the SF Marathon is statistically significantly the same as the past years' average time. 4. Ho: μ = 4.62 and H1: μ ≠ 4.62

Researchers wanted to know if people, on average, tend to underestimate the duration of a typical cold. Clinical literature reports that the actual duration of a typical cold is roughly 15 days. The researchers surveyed a random sample of 352 healthy adults and asked them how long they think that a typical cold lasts. The results of this survey were that the average time that the 352 people thought a cold lasts was two weeks (14 days) with a standard deviation of .5 days. So, according to this survey, do people tend to underestimate the duration of a cold (with statistical significance)? Please select all TRUE statements below based on this hypothesis test.

2. The test statistic for this hypothesis test is -37.5 3. For this hypothesis test the P-value = 0. So, we reject Ho. 4. HO: u greater/equal 15, HI: u less 15 5. This survey supports the researcher's claim that people, on average, tend to underestimate the duration of a typical cold.

A simple random sample of 25 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 20.4 mg and a standard deviation of 3.23 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes. Please select all TRUE statements from those givem below.

2. ho greater/equal 3. There is not sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. 4. For this hypothesis test the test statistic is t = -1.084 5. For this hypothesis test the P-value = .145

Find the standard deviation for a bionomial distribution where n = 35 and p = .15. Round the answer to the hundredths decimal place.

2.11

IQ scores can be described using a Normal distribution with a mean of 100 and a standard deviation of 15. Using the Empirical '68-95-99.7' Rule, what percent of IQ scores are above 130?

2.5%

Express the number .02735 as a percent rounded to the hundredth place. (Please include the % symbol.)

2.74% How: move decimal two spots right

A research sports medicine physician claims that athletes who train using 'cardio workouts' on a regular basis have a maximum oxygen uptake which is not less than the average of all adults (which is 39 ml/kg). To test his claim he randomly samples 105 'cardio workout' athletes and finds that the sample average is 42.3 ml/kg with a sample standard deviation of 6 ml/kg. Please select all TRUE statements below

2.For this hypothesis test the P-value = 1. 3. For this hypothesis test since P-value is greater than alpha we fail to reject (or "support") the null hypothesis. 4. For this hypothesis test the test statistic = 5.64 5. We decide to "support" the sports medicine physician's claim that athletes who train using "cardio workouts" on a regular basis have a maximum oxygen uptake which is not less than the average of all adults.

Question A card is drawn from a standard deck of playing cards. What is the probability that the card is either a King or an Ace? (Express your answer as a percent to the nearest tenth. Please include the % symbol)

2/13 wrong because (didn't put in % form)

Of 109 randomly selected adults, 31 were found to have high blood pressure. Construct a 95% confidence interval for the true percentage of all adults that have high blood pressure.

20.0% < p < 36.9%

What is the Range of the Data Set below? 4 7 9 19 1 17 25

24. HOW: Range is subtracting Max-Min

Which of the following is NOT an equivalent expression for the confidence interval given by 24.7 < μ < 77.3?

26.3 ± 51

26/51

Question The incidence of breast cancer varies depending on a woman's age. The National Cancer Institute gives the following probabilities for a randomly chosen woman in her 50s who takes a mammography to screen for breast cancer: What percent of women in their 50s taking a screening mammography receive a positive test result?

3% wrong

Which of the following is a type II error?

3. Fail to reject the claim that the proportion of settled malpractice suits is 0.24 when the proportion is actually different from 0.24.

Identify the type II error. Choose the correct answer below.

3. Fail to reject the null hypothesis that the percentage of adults who have a job is equal to 88% when that percentage is actually less than 88%.

A clinic believes that a majority of migraine prone patients would benefit for Botox therapy and see a complete migraine elimination. A study examined the effectiveness of Botox injections in the corrugator supercilii muscles for the treatment of chronic migraines. Of the 29 migraine-prone patients participating in the study, 16 reported complete migraine elimination. Please select all the TRUE statements below.

3. HO: p less equal .50, H1: P greater .50 4. For this hypothesis test P-value = .2887

The Kaiser Medical Foundation claims that the cost to rehabilitate a football player following a head injury is $28,500. To test this claim a researcher surveys the medical billing records of 45 football players who were treated for head injuries. The average cost for rehabilitation in this randomly selected sample is $30,885 with a standard deviation of $1,123. Is the actual cost of rehabilitation $28,500 as Kaiser claims? Please select al TRUE statements for this hypothesis test.

3. Ho: μ = $28,500 and H1: μ ≠ $28,500 5. For this hypothesis test the P-value = 0

A researcher claims that the average annual salary of part-time community college instructors is less than $45,000. To test this claim, a sample of 45 part-time community college instructors is selected at random. The sample average is $42,500 with a sample standard deviation of $3,100. Please select all TRUE statements below.

3. Ho: μ ≥ $45,000 and H1: μ < $45,000 5. For this hypothesis test the P-value = 0. Therefore we reject the Ho and support the researcher's claim that the average annual salary of part-time community college instructors is less than $45,000.

Identify the type I error. Choose the correct answer below.

3. Reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when that percentage is actually equal to 65%.

Geckos are lizards with specialized toe pads that enable them to easily climb all sorts of surfaces. A research team examined the adhesive properties of 7 Tokay geckos. Below are their toe-pad areas (in square centimeters, cm2). 5.6 4.9 6.0 5.1 5.5 5.1 7.5 To be an outlier, an observation must fall outside the range

3.75 to 7.35. How: 1.5xIQR+Q3 for upper outliers, and 1.5xIQR-Q1 for lower outliers.

An experiment examined the impact of THC (the active ingredient in marijuana) on various physiological and psychological variables. The study recruited a sample of 50 young adults who were habitual marijuana smokers. Subjects came to the lab 3 times, each time smoking a different marijuana cigarette: one with 3.9% THC, one with 1.8% THC, and one with no THC (a placebo). The order of the conditions was randomized in a double-blind design. At the start of each session, no subject reported being "high." After smoking the cigarette, participants rated how "high" they felt, using a positive continuous scale (0 representing not at all "high"). For the placebo condition, participants reported a mean "high" feeling of 1.3, with a standard deviation of 0.5. Is there evidence of a significant placebo effect, with subject feeling significantly "high" after smoking a placebo marijuana cigarette? Please select all TRUE statements below for this hypothesis test.

4. For this hypothesis P-value = 0 which is less than alpha. So, we therefore "reject" the null hypothesis and conclude there was a significant placebo effect. HO u =o, H1 u not equal 0

4. For this hypothesis P-value = 0 which is less than alpha. So, we therefore "reject" the null hypothesis and conclude there was a significant placebo effect. ho u=0, h1 u not equal 0

Which of the following hypothesis test statements below is a Type I Error?

4. Reject the claim that community college students pay at least $1,250 per year on textbooks when the actual amount that community college students pay for textbooks is actually at least $1,250 per year.

Identify the type I error. Choose the correct answer below.

4. Reject the null hypothesis that the percentage of college students who own cars is equal to 35% when that percentage is actually equal to 35%.

Identify the type I error. Choose the correct answer below.

4. Reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when that percentage is actually equal to 65%.

Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha (α) =0.05 lemon: 228,264,358,480,533 crash: 15.9,15.6,15.5,15.2,14.9 Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Select all TRUE statements for the above hypothesis test from those given below.

4. The P-value = 0.006 5. Because the P-value is less than the significance level 0.05, there is sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of α = 0.05.

You are thinking of employing a t procedure to test hypotheses about the mean of a population using a significance level of 0.05. You suspect the distribution of the population is not Normal and may be moderately skewed. Which of the following statements is correct?

4. You may use the t procedure, provided your sample size is larger than 30, say at least 40.

A study involves 615 randomly selected deaths, with 25 of them caused by accidents. Based on this study, what is the best point estimate for the true percentage of all deaths that are caused by accidents? Express your answer as a percent rounded to the hundredths.

4.07%

4.26

The amount of rainfall in January in a certain city is normally distributed with a mean of 4.6 inches and a standard deviation of 0.3 inches. Find the value of the first quartile Q1. Round your answer to the nearest tenth.

4.4

Groups of people aged 15 - 65 are randomly selected and arranged in groups of six. In the accompanying table, the random variable x is the number in the group who say that their family and/or partner contribute most to their happiness (based on a survey). Find the Mean of this distribution. (Round to one decimal place as needed.)

4.4 How: multiply variable x probability (straight across each line) then add to find sum.

For the Data Set below, calculate the Variance to the nearest hundredth decimal place. 49 2 52 15 25 9 3 5

410.57. How: Go to, list, math, bottom #8, enter L1.

The Correlation Coefficient for a relationship is - 0.75. What percentage of the dependent variable in the correlation is due purely to chance? (Answer with a percent rounded to the hundredths decimal place. Include the % sign.)

43.75%

Question In the frequency table below, find the midpoint of the 3rd class.

What is the Mid - Range of the Data Set below? 2 5 9 12 6 3 17 1 89 23

45. How: Midrange is Max+Min/2 (average of max and min) (89+1/2)

Provide a written description of the complement of the given event. When 100 engines are shipped, all of them are free of defects.

At least one of the engines is defective.

For the Data Set given below, the number 52 is the _____th percentile. (Answer with an integer or decimal.) 24 45 52 78 90 120 34 67 111 10

45. How: put data in list. If not already in ascending order got to stat, 2, L1, "Done". Then find how many values are below the value you're being asked to find. If the number was placed fourth in the list, you'd have 3 numbers below your value. Equation: #of values below value "x" +0.5, Divide answer by total # of values. Multiply that by 100 to find percentile.

What is the Mean of the following set of numbers? (to the nearest tenth) 12 23 76 37 57 125 45 30 17

46.9 How: This value is calculated by adding all the data values and dividing the sum by the total number of data points (this answer rounded).

What is the Range of the Data Set below? 5 7 49 19 1 17 25

48. HOW: Range is subtracting Max-Min

Question What is the Mean for the following set of numbers? (to the nearest tenth) 21 23 76 47 55 135 45 30 17

49.9

By inspection, determine which of the following sets of numbers has the smallest standard deviation.

5,5,5,5. How: Got to, stat, calc, 1, enter L1. SX=standard deviation

What is the mode for the following sample? 5, 2, 5, 7, 3, 2, 6, 4, 3, 7, 2, 4, 3, 5, 7, 5, 1, 2, 5, 3, 7

5. HOW: The mode is defined as the most frequently occurring number in a data set.

Use the value of the linear correlation coefficient r to find the percentage of the total variation that can be explained by the linear relationship between the two variables. r = 0.234 (Your answer should be a percent rounded to two decimal places as needed.)

5.48%

Post-exposure radiation levels are approximately Normally distributed. The levels (in Sv) of a random sample of three trauma victims who were recently exposed are 5.5, 6.2, and 4.8. The best point estimatel for the mean Post-exposure radiation levels is Answer to the nearest tenths place.

5.5

Question Post-exposure radiation levels are approximately Normally distributed. The levels (in Sv) of a random sample of three trauma victims who were recently exposed are 5.5, 6.2, and 4.8. The best point estimatel for the mean Post-exposure radiation levels is Answer to the nearest tenths place.

5.5

Below are 36 sorted ages of an acting award winner. Find P60 .

55. How: arrange in ascending order. Equation: #of total values x percentile you're looking for. Answer divided by 100. If answer is NOT a whole number, round up to the next whole number then find the number that's in that space on the list. If answer IS a whole number, go to that number on the list, go up 1 and find the average of the 2.

For the following data set, calculate the Inter-Quartile Range (IQR). 24 45 52 78 90 120 34 67 111 10

56. How: sort list, subtract q3-q1

Question Below are 36 sorted ages of an acting award winner. Find P75 P75 = ____ (Type an integer or a decimal.)

57.5

A sample of 20 endangered species was obtained and the length of time (in months) since being placed on the list was recorded for each species. A stemplot of these data follows. In the stemplot, 5|2 represents 52 months. The first quartile of the length of time (in months) since being placed on the list for these 20 species is ____

59.5 How: Go to Stat, cal, 1, L1, enter. Scroll to bottom and find the quartile you're looking for.

For the Data Set given below, the number 78 is the _____th percentile. (Answer with an integer or decimal.) 24 45 52 78 90 120 34 67 111 10

65 (quiz)

Below are 36 sorted ages of an acting award winner. Find the percentile corresponding to age 62. percentile of value 62 = ____ (Round to the nearest integer as needed.)

65. How: put data in list. If not already in ascending order got to stat, 2, L1, "Done". Then find how many values are below the value you're being asked to find. If the number was placed fourth in the list, you'd have 3 numbers below your value. Equation: #of values below value "x" +0.5, Divide answer by total # of values. Multiply that by 100 to find percentile.

The height (in inches) of males in the United States is believed to be Normally distributed. The average height of a random sample of 50 American adult males is 69.72 inches and the standard deviation of the 50 heights is 4.23. The best point estimate for the 95% Confidence Interval estimate of the true height of males in the United States is_____inches. Round your answer to the hearest hundredth.

69.72

Question What is the mode for the following sample? 7, 2, 5, 7, 3, 2, 6, 4, 3, 7, 2, 4, 3, 5, 7, 5, 1, 2, 5, 3, 7

Question A researcher found that 55% of families in the United States have one child under the age of 21, 22% have two children under the age of 21, 15% have three children under the age of 21, 5% have 4 children under the age of 21and 3% have 5 or more children under the age of 21. If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21? (Express your answer as a percent, Please include the % symbol.)

70%

A researcher found that 55% of families in the United States have one child under the age of 21, 22% have two children under the age of 21, 15% have three children under the age of 21, 5% have 4 children under the age of 21and 3% have 5 or more children under the age of 21. If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21? (Express your answer as a percent, Please include the % symbol.)

70% How: This one is "mutually exclusive" meaning, that you wouldn't need to use the addition rule because there is no overlap (either you have 1 or 3 children, you cannot have both). So you just add the percentages of people who have 1 and 3 together.

Find the percent of the data that can be explained by the regression line and regression equation given that the correlation coefficient = -.84 (Give your answer as a percent rounded to the hundredth decimal place. Include the % sign)

70.56%

A sample of 40 women is obtained, and their heights (in inches) and pulse rates (in beats per minute) are measured. The linear correlation coefficient is 0.291 and the equation of the regression line is y = 17.6 + 0.870x, where x represents height. The mean of the 40 heights is 63.3 in and the mean of the 40 pulse rates is 72.2 beats per minute. Find the best predicted pulse rate of a woman who is 65 in tall. Use a significance level of α=0.01 The best predicted pulse rate of a woman who is 65 in tall is_______beats per minute.. (Round to two decimal places as needed.)

72.2

Question For the following data set, calculate the Inter-Quartile Range (IQR). 124 45 52 78 190 120 34 87 111 60 10

For the following data set, calculate the Inter-Quartile Range (IQR). 24 45 52 78 190 120 34 87 111 60 10

77. How: sort list, subtract q3-q1

Question If a fair coin is flipped and a standard 6 sided die is rolled, what is the likelihood of getting 'heads' on the coin and a '5' on the die? Express your answer as a percent rounded to the tenth place. (Please include the % symbol in your answer.)

8.3 percent sign

If a fair coin is flipped and a standard 6 sided die is rolled, what is the likelihood of getting 'heads' on the coin and a '5' on the die? Express your answer as a percent rounded to the tenth place. (Please include the % symbol in your answer.)

8.3% How: (Good/total) 1/2 x 1/6=1/12=0.0833=8.3%

The weights of certain machine components are normally distributed with a mean of 8.61 g and a standard deviation of 0.07 g. Find the two weights that separate the top 3% and the bottom 3%. Theses weights could serve as limits used to identify which components should be rejected.

8.48 g and 8.74 g

Question The incidence of breast cancer varies depending on a woman's age. The National Cancer Institute gives the following probabilities for a randomly chosen woman in her 50s who takes a mammography to screen for breast cancer: A true positive happens when someone getting a mammography has cancer and receives a positive test result. What percent of women in their 50s taking a screening mammography receive a true positive?

80% and 3% incorrect

For the Data Set given below, calculate the 70th percentile. (Answer with an integer or decimal.) 24 45 52 78 90 120 34 67 111 10

84. How: arrange in ascending order. Equation: #of total values x percentile you're looking for. Answer divided by 100. If answer is NOT a whole number, round up to the next whole number then find the number that's in that space on the list. If answer IS a whole number, go to that number on the list, go up 1 and find the average of the 2.

Express the number .0957 as a percent rounded to the hundredth place. (Please include the % symbol.)

9.57% How: move decimal two spots right

A researcher found that 55% of families in the United States have one child under the age of 21, 22% have two children under the age of 21, 15% have three children under the age of 21, 5% have 4 children under the age of 21and 3% have 5 or more children under the age of 21. If a family is selected at random, what is the probability the family has at most 3 children under the age of 21? (Express your answer as a percent, Please include the % symbol.)

92% How: How: This one is "mutually exclusive" meaning, that you wouldn't need to use the addition rule because there is no overlap (either you have 1 or 3 children, you cannot have both). So you just add the percentages

Question A researcher found that 55% of families in the United States have one child under the age of 21, 22% have two children under the age of 21, 15% have three children under the age of 21, 5% have 4 children under the age of 21and 3% have 5 or more children under the age of 21. If a family is selected at random, what is the probability the family has at least 3 children under the age of 21? (Express your answer as a percent, Please include the % symbol.)

92% incorrect

Suppose IQ scores were obtained from randomly selected couples. For 20 such pairs of people, the linear correlation coefficient is 0.894 and the equation of the regression line is y=−17.61+1.18x, where x represents the IQ score of the husband. Also, the 20 x values have a mean of 95.94 and the 20 y values have a mean of 95.25. What is the best predicted IQ of the wife, that the husband has an IQ of 93? Use a significance level of 0.05. The best predicted IQ of the wife is ______. (Round to two decimal places as needed.)

92.13

IQ scores can be described using a Normal distribution with a mean of 100 and a standard deviation of 15. Using the Empirical '68-95-99.7' Rule, what percent of IQ scores are between 70 and 130?

95%

97.5%

Here is a stemplot (with split stems) of body temperatures (in degrees Fahrenheit) for 65 healthy adult women. The third quartile for this data set is....

98.8. How: Go to Stat, cal, 1, L1, enter. Scroll to bottom and find the quartile you're looking for.

A student who didn't study for the upcoming quiz decides to 'wing it' and just guess on the 10 question quiz. Every question has 5 choices (a - e). What is the pobability that his grade on the quiz will be at most 50%? Please express your answer as a percent rounded to the hundredths decimal place. Include the '%' symbol.

99.36%

A medical supply manufaturer claims that their first-aid cream contains, on average, at least 26.5 mg of the active ingredient. The amounts of active ingrediant is known to vary Normally from tube to tube. You select a simple random sample of 9 tubes and assess the quantity of active ingredient they contain. The 9 amounts, in mg, are; 23 24 23 29 28 26 27 28 26 A hypothesis test to test the medical supply manufacturer's claim is conducted using these9 tubes. From the statements below which relate to this hypothesis test, please select all TRUE statements

ALL

An investigator analyzed the leading digits from 779 checks issued by seven suspect companies. The frequencies were found to be 227 119,85,56,66,49,41,37,99,and those digits correspond to the leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. If the observed frequencies are substantially different from the frequencies expected with Benford's law shown below, the check amounts appear to result from fraud. Use a 0.05 significance level to test forgoodness-of-fit with Benford's law. Does it appear that the checks are the result of fraud? Select ALL correct statements from those given below.

ALL 1. X2 = 121.705 2. Ho: The leading digits are from a population that conforms to Benford's law. H1: At least one leading digit has a frequency that does not conform to Benford's law. 3. Reject H0. There is sufficient evidence to warrant rejection of the claim that the leading digits are from a population with a distribution that conforms to Benford's law. It does appear that the checks are the result of fraud. 4. P-value = 0.000

The data found below measure the amounts of greenhouse gas emissions from three types of vehicles. The measurements are in tons per year, expressed as CO2 equivalents. Use a.025 significance level to test the claim that the different types of vehicle have the same mean amount of greenhouse gas emissions. Based on the results, does the type of vehicle appear to affect the amount of greenhouse gas emissions? Please select all TRUE statements below.

ALL 1. The conclusion to this ANOVA Test is; Fail to reject the null hypothesis. Conclude that the type of vehicle does not appear to affect the amount of greenhouse gas emissions for these three types 2. 3. The test statistic = 0.48 4. P-value = 0.62

Weights (kg) of poplar trees were obtained from trees planted in a rich and moist region. The trees were given different treatments identified in the accompanying table. Use a 0.05 significance level to test the claim that the four treatment categories yield poplar trees with the same mean weight. Is there a treatment that appears to be most effective? Please select all TRUE statements below.

ALL 1. The 'Fertilizer' method seems to be most effective. 2. The F test statistic = 3.3858 3. The conclusion to this ANOVA Test is; Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight. 4. P-value = 0.0441 5. ho/h1

The table below includes results from polygraph (lie detector) experiments conducted by researchers. In each case, it was known if the subjected lied or did not lie, so the table indicates when the polygraph test was correct. Use a 0.05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication. Do the results suggest that polygraphs are effective in distinguishing between truth and lies? 19,24,17,8 Please select ALL correct statement from those given below.

ALL 1. X2 test statistic = 3.599 2. There is not sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication. 3. H0: Whether a subject lies is independent of the polygraph test indication. : H1: Whether a subject lies is not independent of the polygraph test indication. 4. P-value = 0.0578

The data below shows the annual salaries (in millions) and the number of viewers (in millions) of eight television actors and actresses. Construct ascatterplot, find the value of the linear correlation coefficient r, and find the P-value using α = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between the two variables? salary: 98,14,15,33,10,8,5,3 viewers: 18,4.3,5.9,1.5,10.9,9.6,13.5,4.1 Select all TRUE statements for the above hypothesis test from those given below.

ALL 1. ho equal 0, hi not equal 0 2. The linear corrrelation coefficient is 0.532.. 3. The test statistic is 1.537 4. The P-value = 0.175. 5. Because the P-value is greater than the significance level 0.05, there is not sufficient evidence to support the claim that there is a linear correlation between the annual salaries (in millions) and the number of viewers (in millions) of eight television actors and actresses for a significance level of α = 0.05.

A drug company believes that at least half of all 13- to 17-year-olds with autism will repond better to a new drug therapy for autism. A random sample of 900 13- to 17-year-olds with autism found that 411 had responded better to this new drug therapy for autism. Let p be the proportion of all teens in this age range who respond better. Please select all TRUE statements below.

All 1. We decide to reject the drug company's belief that at least half of all 13- to 17-year-olds with autism will repond better to a new drug therapy for autism. 2. The test statistics for this hypothesis test is -2.6. 3. For this hypothesis test the P-value = .005. 4. 5. "P - hat" for this hypothesis test is 0.457.

Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha (α) =0.05 same as above Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Select all TRUE statements for the above hypothesis test from those given below.

All 1. ho equal 0, h1 not equal 0 2. The linear corrrelation coefficient is - 0.965. 3. The test statistic is - 6.410 4. The P-value = 0.008 5. Because the P-value is less than the significance level 0.05, there is sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of α = 0.05.

A research sports medicine physician claims that athletes who train using 'cardio workouts' on a regular basis have a maximum oxygen uptake greater than the average of all adults which (is 39 ml/kg). To test his claim he randomly samples 105 'cardio workout' athletes and finds that the sample average is 42.3 ml/kg with a sample standard deviation of 6 ml/kg. Please select all TRUE statements below.

All 1. Ho: μ ≤ 39 and H1: μ > 39 2. For this hypothesis test the test statistic = 5.64 3. For this hypothesis test the P-value = 0. 4. For this hypothesis test since P-value is less than alpha we reject the null hypothesis. 5. We decide to "fail to reject" or "support" the sports medicine physician's claim that athletes who train using "cardio workouts" on a regular basis have a maximum oxygen uptake greater than the average of all adults.

All 1. The df = 8 2. The P-value = .261 3. We support the medical maufacturer's claim that their first-aid cream contains, on average, at least 26.5 mg of the active ingredient. 4. ho 5. Since P-value is greater than 5%, we fail to reject the H0, null hypothesis.

A simple random sample of 12 adults is obtained from a normally distributed population, and each person's red blood cell count (in cells per microliter) is measured. The sample mean is 5.10 and the sample standard deviation is 0.56. Use a 0.05 significance level and the given TI-83/84 calculator display to test the claim that the sample is from a population with a mean less than 5.4 (which is a value often used for the upper limit of the range of normal values). Please select all TRUE statements from those given below.

All 1. We decide to reject the H0; null hypothesis 2. We decide to "support" (fail to reject) the sample is from a population with a mean less than 5.4. 3. The Student - t "test statistic" is -1.86 4. ho 5. The P-value is .045

Assume that a simple random sample has been selected and test the given claim. Claim: The average age of actresses when they win an acting award is more than 34 years old To test this claim a simple random sample (SRS) of 27 actresses is used. This sample of 27 actresses had a sample mean of 35.4 years and a standard deviation = 11.2 years. Assume the the distribution of actresses ages is approximately normal. Select all TRUE statements from those given below..

All 1. ho 2. For this hypothesis test, the test statistic is t = .65. 3. We decide to reject the claim that the average age of actresses when they win an acting award is more than 34 years old. 4. The correct decision is to "support" (fail to reject) the null hypothesis H0. 5. For this hypothesis test, the P-value = .261

In a manual on how to have a number one song, it is claimed that a song must be longer than 210 seconds. A simple random sample of 20 current hit songs results in a mean length of 234.3 sec and a standard deviation of 54.14 sec. Use a 0.05 significance level and the accompanying TI -83 display to test the claim. Please select all TRUE statements from those given below.

All 1. ho 2. The Student - t Test Statistic is t = 2.01. 3. The P-value for this hypothesis test is approximately 3%. 4. The correct decision is to reject the H0 null hypothesis. 5. The correct decision is to support the manual's claim that a song must be longer than 210 seconds.

The blood pressure measurements of a single patient were taken by twelve different medical students and the results are listed below. Construct ascatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha (α) = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between systolic measurements and diastolic measurements? systolic: 135,133,139,119,122,123,129,130,125,144,141,137 disomic: 92,94,101,83,89,80,83,86,82,95,103,90 Is there sufficient evidence to conclude that there is a linear correlation between systolic measurements and diastolic measurements? Select all TRUE statements for the above hypothesis test from those given below.

All except ho/h1 2. The linear corrrelation coefficient is 0.812. 3. The scatter plot is; 4. The P-value = 0.001 5. Because the P-value is less than the significance level 0.05, there is sufficient evidence to support the claim that there is a linear correlation between systolic measurements and diastolic measurements for a significance level of α = 0.05.

A Normal density curve has which of the following properties?

All of the above

Samples of pages were randomly selected from three different novels. The Flesch Reading Ease scores were obtained from each page, and theTI-83/84 Plus calculator results from analysis of variance are given below. Use a 0.01 significance level to test the claim that the three books have the same mean Flesch Reading Ease score. What is the conclusion for this hypotheses test?

Fail to reject H0. There is insufficient evidence to warrant the rejection of the claim that the three books have the same mean Flesch Reading Ease score.

A random sample of subjects was asked to identify the day of the week that is best for quality family time. Consider the claim that the days of the week are selected with a uniform distribution so that all days have the same chance of being selected. The table below shows goodness-of-fit test results from the claim and data from the study. num:7 Degrees: 6 ex freq: 110.7143 test stat: 10.843 critical: 12.592 value: 0.0934 The null and alternative hypotheses are; H0: All days of the week have an equal chance of being selected. H1: At least one day of the week has a different chance of being selected. Select the correct conclusion from those given below.

Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that the days of the week are selected with a uniform distribution. It appears that all days have the same chance of being selected.

Use the given information to state the conclusion about the null hypothesis H0. Assume a significance level of 0.01. Original claim: The percentage of settled medical malpractice suits is.at least 50% The hypothesis test results in a P-value of 0.012.