MML STATS

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Space shuttle astronauts each consume an average of 3000 calories per day. One meal normally consists of a main​ dish, a vegetable​ dish, and two different desserts. The astronauts can choose from 10 main​ dishes, 9 vegetable​ dishes, and 12 desserts. How many different meals are​ possible?

10 times 9 times 12C2

You have 12 different video games. How many different ways can you arrange the games side by side on a​ shelf?

12! on calc

Explain how to find the range of a data set. What is an advantage of using the range as a measure of​ variation? What is a​ disadvantage? (C.) What is a disadvantage of using the range as a measure of​ variation?

It uses only two entries from the data set.

What is a discrete probability​ distribution? Choose the correct answer below.

A discrete probability distribution lists each possible value a random variable can​ assume, together with its probability.

how is a sample related to a population

A sample is a subset of a population.

In a poll, 1,003 men in a country were asked whether they favor or oppose the use of​ "federal tax dollars to fund medical research using stem cells obtained from human​ embryos." Among the​ respondents, ​48% said that they were in favor. Describe the statistical study. A.) what is the population in the given problem?

All men in the country

What is the difference between an outcome and an​ event?

An outcome is the result of a single probability experiment. An event is a set of one or more possible outcomes.

Which method of data collection should be used to collect data for the following study. Upper A study of the health of 174 lung transplant patients at a hospital.

Census

Researchers found that people with depression are seven times more likely to have a​ breathing-related sleep disorder than people who are not depressed. Identify the two events described in the study. Do the results indicate that the events are independent or​ dependent? Are the events independent or​ dependent?

Dependent

Researchers found that people with depression are seven times more likely to have a​ breathing-related sleep disorder than people who are not depressed. Identify the two events described in the study. Do the results indicate that the events are independent or​ dependent? Identify the two events. Choose the correct answer below.

Depression and​ breathing-related sleep disorder

​(b) List an example of two events that are dependent. Choose the correct answer below.

Drawing one card from a standard​ deck, not replacing​ it, and then selecting another card

Describe the difference between the value of x in a binomial distribution and in a geometric distribution.

In a binomial​ distribution, the value of x represents the number of successes in n​ trials, while in a geometric​ distribution, the value of x represents the first trial that results in a success.

Explain how to find the range of a data set. What is an advantage of using the range as a measure of​ variation? What is a​ disadvantage? B.) What is an advantage of using the range as a measure of​ variation?

It is easy to compute.

In a binomial​ experiement, what does it mean to say that each trial is independent of the other​ trials?

Each trial is independent of the other trials if the outcome of one trial does not affect the outcome of any of the other trials.

determine whether the survey question is biased. If the question is​ biased, suggest a better wording. Why is eating cake bad for you? B.) If the question is​ biased, which question below is worded​ better?

How do you think eating cake affects your health

Determine whether the data set is a population or a sample. Explain your reasoning. The age of each member of the House of Representatives.

Population, because it is a collection of ages for all members of the House of Representatives.

Determine whether the data set is a population or a sample. Explain your reasoning. The age of each resident in an apartment building.

Population, because it is a collection of ages for all people in the apartment building.

Use the​ box-and-whisker plot to identify​ (a) the​ five-number summary, and​ (b) the interquartile range. IQR= ?

Q3-Q1

Determine whether the variable is qualitative or quantitative. Number of words in a speech

Quantitative

Determine whether the variable is qualitative or quantitative. Amount of sugar in a bag of sugar

Quantitative

What is the difference between relative frequency and cumulative​ frequency?

Relative frequency of a class is the percentage of the data that falls in that​ class, while cumulative frequency of a class is the sum of the frequencies of that class and all previous classes.

​(a) List an example of two events that are independent. Choose the correct answer below.

Rolling a die twice

Sony wants to administer a satisfaction survey to its current customers. Using their customer​ database, the company randomly selects 90 customers and asks them about their level of satisfaction with the company.

Simple random

How is a Pareto chart different from a standard vertical bar​ graph?

The bars are positioned in order of decreasing height with the tallest bar on the left.

When you calculate the number of permutations of n distinct objects taken r at a​ time, what are you​ counting?

The number of ordered arrangements of n objects taken r at a time.

Determine whether the statement is true or false. If it is false rewrite it as a true statement A data set can have the same​ mean, median, and mode.

the statement is true

The probability of randomly choosing a tea drinker who has a college degree ​(Assume that you are choosing from the population of all tea​ drinkers.)

The probability of choosing a tea drinker who does not have a college degree

What are the two conditions that determine a probability​ distribution? Choose the correct answer below.

The probability of each value of the discrete random variable is between 0 and​ 1, inclusive, and the sum of all the probabilities is 1.

Explain how to find the range of a data set. What is an advantage of using the range as a measure of​ variation? What is a​ disadvantage? a.) Explain how to find the range of a data set. Choose the correct answer below.

The range is found by subtracting the minimum data entry from the maximum data entry.

A​ student's score on an actuarial exam is in the 78th percentile. What can you conclude about the​ student's exam​ score?

The student scored higher than​ 78% of the students who took the actuarial exam.

Compare the three data sets on the right ​(b) How are the data sets the​ same? How do they​ differ?

The three data sets have the same mean but have different standard deviations.

Suppose a survey of 555 women in the United States found that more than 67​% are the primary investor in their household. (B.) Choose the best inference from the given information.

There is an association between U.S. women and being the primary investor in their household.

If two events are mutually​ exclusive, why is Upper P left parenthesis Upper A and Upper B right parenthesis equals 0​?

Upper P left parenthesis Upper A and Upper B right parenthesis equals 0 because A and B cannot occur at the same time

What is the difference between a random sample and a simple random​ sample?

With a random​ sample, each individual has the same chance of being selected. With a simple random​ sample, all samples of the same size have the same chance of being selected.

n a​ survey, travelers were asked to name what they found most annoying on a flight. One of the most common results was​ "crying kids." You randomly select six people who participated in the survey and ask them to name what they find most annoying on a flight. Let x represent the number who name crying kids as the most annoying. The random variable x has a binomial​ distribution, as shown to the​ right, with n=6 and p=0.36. Find the mean and standard deviation of this binomial distribution and interpret the results in the context of real life. What values of x would you consider​ unusual? Explain your reasoning. a. what is mean b. what is standard deviation c. fill in the blank d. fill in the blank

a. multiply two numbers given b. multiply two numbers given and 1-p c. mean mean standard deviation d. 5 and 6 // highly unlikely

Find the indicated probabilities using the geometric distribution or Poisson distribution. Then determine if the events are unusual. If​ convenient, use a Poisson probability table or technology to find the probabilities. A newspaper finds that the mean number of typographical errors per page is eight. Find the probability that​ (a) exactly five typographical errors are found on a​ page, (b) at most five typographical errors are found on a​ page, and (c) more than five typographical errors are found on a page.

a. poissonpdf (8,5) b. poissonCdf (8,5) c. 1-b d. none of the events are unusual

An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. ​ (a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 6000 cars. ​(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. Repeat​ (a) using a Poisson distribution and compare the results.

a.) binomialpdf

About 20​% of babies born with a certain ailment recover fully. A hospital is caring for seven babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment. If it​ is, identify a​ success, specify the values of​ n, p, and​ q, and list the possible values of the random variable x. a) Specify the value of q. Select the correct choice below and fill in any answer boxes in your choice. b.) What is a success in this​ experiment? c.) Specify the value of n. Select the correct choice below and fill in any answer boxes in your choice. d.) Specify the value of p. Select the correct choice below and fill in any answer boxes in your choice. e.)Specify the value of q. Select the correct choice below and fill in any answer boxes in your choice. f.) List the possible values of the random variable x.

a.) yes b.) baby recovers c.) number of babies in hospital d.) percent given in decimal form e.) 100-.(percentage given) f.) x= 0,1,2,3,..., Highest number given

Find the​ range, mean,​ variance, and standard deviation of the sample data set. (B.) find the mean (explain)

add all of them up and divide by number of #s

Use the frequency histogram to answer each question. A.) Determine the number of classes (explain)

count the number of bars in the graph

Use the​ box-and-whisker plot to identify​ (a) the​ five-number summary, and​ (b) the interquartile range. Q1= ?

far left dot of box

Use the​ box-and-whisker plot to identify​ (a) the​ five-number summary, and​ (b) the interquartile range. Q3= ?

far right dot of box

Use the frequency histogram to answer each question. (d.) determine the class width

find the difference between two consecutive numbers given on the x-axis

The heights​ (in inches) of 20 female students in a physical education class are shown below. Approximate the mean height of students in a class. (explain)

find the midpoint of each number, multiply it by the frequency given and divide by the added up frequencies

Use the frequency histogram to answer each question. B.) estimate the frequency of the class with the least frequency (explain)

find the smallest class given and then see how tall it is on the graph

Use the frequency histogram to answer each question. (C.) estimate the frequency of the class with the greatest frequency

find the tallest class given and then see how tall it is on the graph

How many different simple random samples of size 4 can be obtained from a population whose size is 45​?

last number given C first number given

Use technology to organize the data as a​ stem-and-leaf plot to display the data. The data represent the heights of eruptions by a geyser. What can you conclude about the​ data? A.) Chose the correct stem-and-leaf plot

look at the numbers given and match them up to the numbers in the graph

Compare the three data sets on the right ​(a) Which data set has the greatest sample standard​ deviation?

look for the one that is widest

Compare the three data sets on the right ​ Which data set has the least sample standard​ deviation?

look for the thinnest one

Use the​ box-and-whisker plot to identify​ (a) the​ five-number summary, and​ (b) the interquartile range. Q2=?

middle dot of box

A software company is hiring for two​ positions: a software development engineer and a sales operations manager. How many ways can these positions be filled if there are 10 people applying for the engineering position and 13 people applying for the managerial​ position?

multiply the two numbers given

Suppose 70​% of kids who visit a doctor have a​ fever, and 40​% of kids with a fever have sore throats.​ What's the probability that a kid who goes to the doctor has a fever and a sore​ throat?

multiply two numbers as decimals

A person lives in a household with three dogs and claims that having three dogs is not unusual. Using the frequency distribution​ below, determine if this person is correct.

no

Event​ A: Randomly selecting a nurse Event​ B: Randomly selecting a male Are the two events mutually​ exclusive?

no, because someone who is a nurse can be male

Use the pie chart at the​ right, which shows the number of tulips purchased from a nursery. Find the probability that a tulip bulb chosen at random is red

number given for red section / 100

Consider a company that selects employees for random drug tests. The company uses a computer to randomly select employee numbers that range from 1 to 5801. Find the probability of selecting a number less than 1000. Find the probability of selecting a number greater than 1000.

number of outcomes in event E (999)/ (5801)total number of outcomes in sample space

The graph to the right shows the responses to the question, "Does global warming contribute to El Nino? " Identify the level of measurement of the data listed on the horizontal axis in the graph. Data listed-- A: very likely B: somewhat likely C: Somewhat unlikely D: Very unlikely E. Unsure

ordinal

Select all the levels of measurement for which data can be qualitative.

ordinal, nominal

Determine whether the underlined value is a parameter or a statistic. A study of 6, 076 adults in public rest rooms found that 23 % did not wash their hands before exiting.

statistic

Find the​ range, mean,​ variance, and standard deviation of the sample data set. (C.) find the variance (explain)

subtract the mean from each number square the result, find the mean of all your new numbers

Find the​ range, mean,​ variance, and standard deviation of the sample data set. (d.) find the standard deviation (explain.)

take the square root of your variance

In a poll, 1,003 men in a country were asked whether they favor or oppose the use of​ "federal tax dollars to fund medical research using stem cells obtained from human​ embryos." Among the​ respondents, ​48% said that they were in favor. Describe the statistical study. Identify the sample for the given problem. Choose the correct answer below

the 1,003 men selected

Find the​ range, mean,​ variance, and standard deviation of the sample data set. (a) find the range (explain)

the biggest number minus the smallest

The measure of position called the midquartile of a data set is found using the formula StartFraction Upper Q 1 + Q 3 / 2 . Find the midquartile of the given data set

the half humber of the first half=Q1 the half number of the second half +Q3

Find the​ mean, median, and mode of the​ data, if possible. If any of these measures cannot be found or a measure does not represent the center of the​ data, explain why. The typing speeds​ (in words per​ minute) for several stenographers are listed below. (A.) Does the median represent the center of the​ data?

the median represents the center

Use the​ box-and-whisker plot to identify​ (a) the​ five-number summary, and​ (b) the interquartile range. min= ?

the minimum is the number at the far left dot

Use the​ box-and-whisker plot to identify​ (a) the​ five-number summary, and​ (b) the interquartile range. max=?

the number at the far right dot

Six of the 50 digital video recorders​ (DVRs) in an inventory are known to be defective. What is the probability you randomly select an item that is not​ defective?

the number of outcomes in event E (50-6) /(50) total number of outcomes in the sample space

A lottery is used to determine which team gets the first pick in its annual draft. The number of combinations assigned to each of the 7 teams is shown in the Pareto chart to the right. For each​ team, find the probability that the team will win the first pick.

the number on top of the bar divided by 1000

Find the​ mean, median, and mode of the​ data, if possible. If any of these measures cannot be found or a measure does not represent the center of the​ data, explain why. The typing speeds​ (in words per​ minute) for several stenographers are listed below. What is the mode of the typing​ speeds? Select the correct choice below and fill in any answer box to complete your choice. (explain)

which ever number appears the most

Use the Row of numbers shown below to generate 12 random numbers between 01 and 99 (explain process)

write 2 digit numbers in order of appearance in the line of numbers

Determine whether the survey question is biased. If the question is​ biased, suggest a better wording. Why is eating cake bad for you? A.) Is this question Biased

yes

Suppose a survey of 555 women in the United States found that more than 67​% are the primary investor in their household. (A.) Choose the best statement of the descriptive statistic in the problem.

​67% of women in the sample are the primary investor in their household


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