Stats final

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A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogram for the systolic blood pressure readings for those people aged between 25-40. The blood pressure readings were given to the nearest whole number. What class width was used to construct the relative frequency distribution? systolic bp frequency 100-109 .15 110-119 .35 120-129 .25 130-139 .15 140-149 .10 150-159 .05 a. 10 b. 11 c. 100 d. 9

a. 10

Suppose the mean is u=137.0 and the standard deviation is o=5.3. Find the probability that a measurement lies between 134.4 and 140.1. a. 0.41 b. 1.03 c. 0.62 d. 0.81

a. 0.41

1 125---1---------------------1 1 1 1 1 ________1___________________________1__ 1 2 3 4 5 6 7 8 What is the probability that the random variable X has a value less than 8? a. 1.00 b. 0.800 c. 0.625 d. 0.125

a. 1.00

Find the standard deviation for the given sample data. The numbers listed below represent the amount of precipitation last year in six differed U.S. cities 14.7 15.1 31.6 42.6 17.7 18.8 a. 11.26 b. 37.1 c. 3290.0 d. 3924.2

a. 11.26

Claim: the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10 Sample stats: n=800 with 15% attributable to residential falls. a 4.71 b. 3.96 c. -4.71 d. -3.96

a. 4.71

Of 1232 people who came into a blood bank to give blood, 397 people had high blood pressure. Estimate the probability that the next person will have high blood pressure. a. 0.29 b. 0.322 c. 0.241 d. 0.373

b. 0.322

1 125---1---------------------1 1 1 1 1 ________1___________________________1__ 1 2 3 4 5 6 7 8 What is the probability that the random variable X has a value less that 2.7? a. 0.2125 b. 0.3375 c. 0.0875 d. 0.4625

b. 0.3375

A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97 such fax machines, 5% are defective. Find the Pvalue for a test of the manufacturers claim. a. 0.3264 b. 0.3630 c. 0.1591 d. 0.1736

b. 0.3630

Construct a confidence interval. n=56 x=30 95% confidence a. 0.426<p<0.646 b. 0.405<p<0.667 c. 0.404<p<0.668 d. 0.425<p<0.647

b. 0.405<p<0.667

Find the probability that z lies between 0 and 3.01. a. 0.1217 b. 0.4987 c. 0.5013 d. 0.9987

b. 0.4987

Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability that a randomly selected adult has an IQ between 90 and 120. a. 0.69 b. 0.66 c. 0.60 d. 0.62

b. 0.66

32 randomly picked people were asked if the rented or owned their own home, 8 said they rented, obtain a point estimate of the proportion of home owners. a. 0.781 b. 0.750 c. 0.250 d. 0.200

b. 0.750

Find the area. x=1.13 a. 0.8907 b. 8708 c. 0.1292 d. 0.8485

b. 0.8708

A sample space consists of 38 separate events that are equally likely. What is the probability of each? a. 0 b. 1/38 c. 38 d. 1

b. 1/38

Survey responses of "good better best" a. interval b. ratio c. nominal d. ordinal

d. ordinal

Suppose the mean is u=60.0 and the standard deviation is o=4.0. Find the probability that a measurement lies between 53.0 and 54.2 a. 0.56 b. 0.96 c. 0.080 d. 0.033

0.033

Salaries of college professors a. nominal b. ordinal c. interval d. ratio

d. ratio

Shaded area is 0.4013. Find z score. a. -0.25 b. 0.57 c. -0.57 d. 0.25

a. -0.25

In one town, 66% of adults have health insurance What is the probability that 4 adults selected at random from the town all have health insurance? a. 0.19 b. 0.061 c. 0.66 d. 2.64

a. 0.19

50 people are selected randomly from a certain population and it is found that 12 people are over 6 feet tall. What is the point estimate of the proportion of people in the population that are over 6 feet tall? a. 0.24 b. 0.76 c. 0.50 d. 0.18

a. 0.24

An archer is able to hit the bullseye 46% of the time. If she shoots 9 arrows, what is the probability that she gets exactly 4 bullseyes? a. 0.259 b. 0.0448 c. 0.00206 d. 0.203

a. 0.259

A manufacturing process has a 70% yield, meaning that 70% of the products are acceptable and 30% are defective. If three of the products are randomly selected, find the probability that all of them are acceptable. a. 0.343 b. 2.1 c. 0.027 d. 0.429

a. 0.343

The table below represents the number of television sets per household for a sample of U.S. households. What is the minimum number of households having the same number of television sets? # of tv sets frequency 1 20 2 50 3 15 4 10 5 5 a. 5 b. 100 c. 20 d. 1

a. 5

Create the sample space of possible outcomes for flipping a coin twice. a. HH HT TH TT b. HT TH c. HH TT HT HT d. HH HT TT

a. HH HT TH TT

A cereal company claims that the mean weight of the cereal in its packets are less than 14 oz. a. Ho: u=14 H1: u<14 b.Ho: u=14 H1: u>14 c. Ho: u>14 H1: u<or=14 d. Ho: u<14 H1: u>or=14

a. Ho: u=14 H1: u<14

Carter Motor Company claims that its new sedan, the Libra, will average greater than 23 miles per gallon in the city. use u the true average mileage of the libra. a. Ho: u=23 H1: u>23 b. Ho: u<23 H1: u>or=23 c. Ho: u>23 H1: u<or=23 d. Ho: u=23 H1: u<23

a. Ho: u=23 H1: u>23

The height of 2 year old maple tree is 28..3 ft. a. continuous b. discrete

a. continuous

Is event B dependent or independent of event A? A: you cook your chicken improperly. B: you get food poisoning a. dependent b. independent

a. dependent

Is event B independent or dependent of event A? A: you visit new york on vacation B: you visit the statue of liberty a. dependent b. independent

a. dependent

the accuracy of verbal responses is tested in an experiment in which individuals report their heights and then are measured. the data consists of the reported height and measured height for each individual. a. dependent sample b. independent sample

a. dependent sample

The following figures give the distribution of land (in acres) for a county containing 71,000 acres. Forest: 10, 650 Farm: 7,100 Urban: 53,250 a. forest: 15% farm: 10% urban: 75% b. forest: 20% farm: 10% urban: 70%

a. forest: 15% farm: 10% urban: 75%

The effectiveness of a new headache medicine is tested by measuring the amount of time before the headache is cured for patients who use the medicine and another group of patients who use a placebo drug. a. independent sample b. dependent sample

a. independent sample

Determine whether the given procedure results in a binomial distribution. Rolling a single die 26 times, keeping track of the numbers rolled. a. not binomial; there are more than two outcomes for each trial b. not binomial; the trials are not independent c. not binomial; there are too many trials d. procedure results in binomial distribution

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

Find the standard deviation. n=1680 p= 0.57 a. o=20.29 b. o=24.41 c. o=23.56 d. o=17.88

a. o=20.29

After inspecting all of 55,000 kg of meat stored at the Wurst Sausage Company, it was found that 45,000 kg of the meat was spoiled a. parameter b. statistic

a. parameter

The principal of a middle school claims that test scores of the seventh graders at his school vary less than the test scores of the seventh graders at a neighboring school, which have variation described by o=14.7. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion. a. there is sufficient evidence to support the claim that the standard deviation is less than 14.7 b. there is not sufficient evidence to support the claim that the standard deviation is less than 14.7 c. there is sufficient evidence to support the claim that the standard deviation is greater than 14.7 d. there is not sufficient evidence to support the claim that the standard deviation is less than 14.7

a. there is sufficient evidence to support the claim that the standard deviation is less that 14.7

Find the margin of error when the confidence level is 99% n=1110 of which 45 are successes a. 0.0293 b. 0.0385 c. 0.0348 d. 0.0306

b. 0.0385

Find the pooled estimate (p bar) n1= 677 n2=3377 x1= 172 x2=654 a. 0.408 b. 0.204 c. 0.452 d. 0.163

b. 0.204

Find the probability that z lies between 0.7 and 1.98 a. -0.2181 b. 0.2181 c. 0.2175 d. 1.7341

b. 0.2181

Find the probability of x successes n=64 p=0.04 x=3 a. 0.091 b. 0.221 c. 0.139 d. 0.375

b. 0.221

Suppose that 14% of people are left handed If 9 people are selected at random, what is the probability that exactly 2 of them are left-handed? a. 0.0933 b. 0.245 c. 0.491 d. 0.0196

b. 0.245

When n=328 college students are randomly selected and surveyed, it is found that x=122 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car. a. 0.328<p<0.416 b. 0.303<p<0.441 c. 0.320<p<0.424 d. 0.310<p<0.434

b. 0.303<p<0.441

A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. 81 71 202 113 269 248 242 Find the median number of newspapers sold a. 113 newspapers b. 202 newspapers c. 242 newspapers d. 175 newspapers

b. 202 newspapers

The frequency distribution below summarizes the home sale prices in the city of Summerhill for the month of June. Determine the class midpoint for class 235.0-265.9 sale price frequency 80.0-110.9 2 111.0-141.9 5 142.0-172.9 7 173.0-203.9 10 204.0-265.9 3 235.0-265.9 1 a. 250.50 b. 250.45 c. 250.40 d. 250.55

b. 250.45

A bag contains 6 red marbles, 3 blue marbles, and 5 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue? a. 1/5 b. 3/14 c. 1/11 d. 1/3

b. 3/14

Rich Borne teaches Chemistry 101. Last week he gave his students a quiz. Their scores are listed below. Find the range of the data below. 24 31 47 29 31 16 48 41 50 54 37 22 a. 16 b. 38 c. 54 d. 7

b. 38

Use the range rule of thumb to estimate the standard deviation. The maximum value of a distribution is 40.8 and the minimum value is 2.4. a. 6.6 b. 9.6 c. 14.6 d. 14.4

b. 9.6

A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is less than 2 in every one thousand. a. Ho: p=0.002 H1: p>0.002 b. Ho: p=0.002 H1: p<0.002 c. Ho: p>0.002 H1: p<or=0.002 d. Ho: p<0.002 H1: p>or=0.002

b. Ho: p=0.002 H1: p<0.002

Let X= the height of a randomly selected student. Is this continuous or discrete? a. discrete b. continuous

b. continuous

The weight of Bill's pack as he sets off on a backpacking trip is 48.3 lb. a. discrete b. continuous

b. continuous

The effect of caffiene as an ingredient is tested with a sample of regular soda and another sample with decaffeinated soda. a. independent samples b. dependent samples

b. dependent sample

The effectiveness of a headache medicine is tested be measuring the intesity of a headache in the patients before and after drug treatment. a. independent samples b. dependent samples

b. dependent sample

Let X= the number of freshman in the required course English 101. Is this continuous or discrete? a. continuous b. discrete

b. discrete

The number of freshmen entering college in a certain year is 621 a. continuous b. discrete

b. discrete

The temperatures of eight different plastic spheres a. ratio b. interval c. nominal d. ordinal

b. interval

The ACME Candy Company claims that p=0.08 of the jawbreakers it produces actually result in a broken jaw. Suppose n=9571 persons are selected at random from those who have eaten a jawbreaker produced at ACME Candy Company. Would it be unusual for this sample of 9571 to contain x=801 persons with a broken jaw? a. yes b. no

b. no

Determine whether the given procedure results in a binomial distribution. Rolling a single die 53 times, keeping track of the 5's rolled. a. not binomial; there are too many trials b. procedure results in a binomial distribution c. not binomial; there are more than two outcomes for each trial d. not binomial; the trials are not independent

b. procedure results in a binomial distribution

a sample of 120 employees of a company is selected, and the average age is found to be 37 years. a. parameter b. statistic

b. statistic

An entomologist writes an article in a scientific journal which claims that fewer than 3 in ten thousand male fireflies are unable to produce light. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion. a. there is not sufficient evidence to support the claim that the true proportion is greater than 3 in ten thousand b. there is sufficient evidence to support the claim that the true proportion is less than 3 in ten thousand c. there is sufficient evidence to support the claim that the true proportion is greater than 3 in ten thousand d. there is not sufficient evidence to support the claim that the true proportion is less than 3 in ten thousand

b. there is sufficient evidence to support the claim that the true proportion is less than 3 in ten thousand

Construct the cumulative frequency distribution that corresponds to the given frequency distribution. weight # of stones 1.2-1.6 5 1.7-2.1 2 2.2-2.6 5 2.7-3.1 5 3.2-3.6 13 a. weight frequency <2.2 7 <3.2 17 <3.7 30 b. weight frequency <1.7 5 <2.2 7 <2.7 12 <3.2 17 <3.7 30 c. weight frequency 1.2-1.6 5 1.7-2.1 7 2.2-2.6 12 2.7-3.1 17 3.2-3.6 30 d. weight frequency <1.7 5 <2.2 7 <2.7 12 <3.2 17 <3.7 28

b. weight frequency <1.7 5 <2.2 7 <2.7 12 <3.2 17 <3.7 30

Shaded area is 0.8599. Find z score. a. 1.08 b. 0.5557 c. -1.08 d. 0.8051

c. -1.08

use z= p hat - p /square root of (p*q)/n p=0.5 n=1320 30% say they play a sport a. 29.66 b. 14.53 c. -14.53 d. -29.66

c. -14.53

Find the probability of x successes n=5 p=.70 x=2 a. 0.700 b. 0.464 c. 0.132 d. 0.198

c. 0.132

In a poll, people were asked whether they had ever been in a car accident. 215 indicated that they had been in a car accident and 449 said that they had not. If one of these people is randomly selected, what is the probability of getting someone who has been in a car accident? a 0.676 b. 0.479 c. 0.324 d. 0.005

c. 0.324

Construct a confidence interval n=130 x=69 90% confidence a. 0.461<p<0.601 b. 0.457<p<0.606 c. 0.459<p<0.603 d. 0.463<p<0.599

c. 0.459<p<0.603

There is a 55% chance of rain tomorrow. What is the probability that it will rain? a. 0.60 b. 4 c. 0.55 d. 40

c. 0.55

In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the Pvalue for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 11% a. 0.2843 b. -0.2843 c. 0.5671 d. 0.2157

c. 0.5671

Which of the following cannot be a probability? a. 3/5 b. 2/3 c. 5/3 d. 1/2

c. 5/3

The following frequency distribution analyzes the scores on a math test. Find the class boundaries of score interval 95-99 scores # of students 40-59 2 60-75 4 76-82 6 83-94 15 95-99 5 a. 95.5, 100.5 b. 95.5, 99.5 c. 94.5, 99.5 d. 94.5, 100.5

c. 94.5, 99.5

The owner of a football team claims that the average attendance at games is over 68800 and he is therefore justified in moving the team to a city with a larger stadium. a. Ho: u>68800 H1: u<or=68800 b. Ho: u=68800 H1: u<68800 c. Ho: u=68800 H1: u>68800 d. Ho: u<68800 H1: u>or=68800

c. Ho: u=68800 H1: u>68800

Find the minimum and maximum. n=237 p=0.25 a. minimum: 52.58; maximum: 65.92 b. minimum: 72.58; maximum: 45.92 c. minimum: 45.92; maximum: 72.58 d. minimum: 49.82; maximum: 68.68

c. minimum: 45.92; maximum: 72.58

Find the mode from the given sample data. Listed below are the lengths in inches of each snake in the Clarmont Zoo's reptile house. 9 15 22 13 16 101 29 10 14 17 102 A. 9 in, 15 in, 22 in, 13 in, 16 in, 101 in, 29 in, 10 in, 14 in, 17 in, 102 in b. 11 in c. no mode d. 9.3 in

c. no mode

Ages of survey respondents a. interval b. nominal c. ratio d. ordinal

c. ratio

The scores on a recent statistics test are given in the frequency distribution below. Construct to corresponding relative frequency distribution. scores frequency 0-60 3 61-70 10 71-80 11 81-90 4 91-100 1 a. scores frequency 0-60 15.5% 61-70 22.1% 71-80 31.3% 81-90 16.2% 91-100 14.9% b. scores frequency 0-60 0.21% 61-70 0.24% 71-80 0.55% 81-90 0.03% 91-100 -0.03% c. scores frequency 0-60 10.34% 61-70 34.48% 71-80 37.93% 81-90 13.79% 91-100 3.45% d. scores frequency 0-60 12.5% 61-70 20.1% 71-80 37.3% 81-90 15.2% 91-100 14.9%

c. scores frequency 0-60 10.34% 61-70 34.48% 71-80 37.93% 81-90 13.79% 91-100 3.45%

Find the mean for the binomial distribution. n= 38 p= 0.2 a. u=7.1 b. u=8.3 c. u=7.6 d. u=7.9

c. u=7.6

Claim: the proportion of children who play sports is less than 0.5 Sample stats: n=1320 with 30% saying they play a sport a. 14.53 b. 29.66 c. -29.66 d. -14.53

d. -14.53

Find the margin of error when the confidence level is 95% n=380 and x=50 successes a. 0.0408 b. 0.0357 c. 0.0306 d. 0.0340

d. 0.0340

1 125---1---------------------1 1 1 1 1 ________1___________________________1__ 1 2 3 4 5 6 7 8 What is the probability that the random variable X has a value between 0.4 and 0.8 a. 0.3 b. 0.175 c. 0.075 d. 0.05

d. 0.05

1 125---1---------------------1 1 1 1 1 ________1___________________________1__ 1 2 3 4 5 6 7 8 What is the probability that the random variable X has a value greater than 5? a. 0.250 b. 0.325 c. 0.500 d. 0.375

d. 0.375

Find the pooled estimate (p bar) n1=35 n2=485 x1=13 x2=189 a. 0.466 b. 0.155 c. 0.310 d. 0.388

d. 0.388

Find the area -0.92<x<0.92 a. 0.1788 b. 0.8212 c. 0.3576 d. 6424

d. 0.6424

Of 445 randomly selected light bulbs tested in a laboratory, 316 lasted more than 500 hours. Find a point estimate of the proportion of all light bulbs that lasted more than 500 hours. a. 0.290 b. 708 c. 0.415 d. 0.710

d. 0.710

It will definitely get dark tonight. What is the probability that it will get dark tonight? a. 0.67 b. 0.30 c. 0.5 d. 1

d. 1

On a multiple choice test with six possible answers for each question, what is the probability of answering a question correctly if you make a random guess? a. 1 b. 3/4 c. 1/2 d. 1/6

d. 1/6

The following frequency distribution analyzes the scores on a math test. Find the class boundaries of score interval 40-59 scores # of students 40-59 2 60-75 4 76-82 6 83-94 15 95-99 5 a. 40.5, 58.5 b. 39.5, 58.5 c. 40.5, 59.5 d. 39.5. 59.5

d. 39.5, 59.5

The frequency distribution below summarizes employee years of service for Alpha Corporation. Determine the width of each class. years frequency 1-5 5 6-10 20 11-15 25 16-20 10 21-25 5 26-30 3 a. 10 b. 4 c. 6 d. 5

d. 5

Find the midrange for the given sample data. 3 6 9 0 4 1 11 5 9 14 3 8 2 15 0 9 a. 8 b. 5.5 c. 15 d. 7.5

d. 7.5

Andrew asked seven of his friends how many cousins they had. The results are listed below. Find the mean number of cousins. 15 12 5 14 4 4 6 a. 10 cousins b. 10.1 cousins c. 8.1 cousins d. 8.6 cousins

d. 8.6 cousins

A psychologist claims that more than 5.8% of the population suffers from professional problems due to extreme shyness. Use p, the true percentage that suffers from extreme shyness. a. Ho: p>5.8% H1: p<or=5.8% b. Ho: p<5.8% H1: p>or=5.8% c. Ho: p=5.8% H1: p<5.8% d. Ho: p=5.8% H1: p>5.8%

d. Ho: p=5.8% H1: p>5.8%

The subjects in which college students major a. interval b. ratio c. ordinal d. nominal

d. nominal

A skeptical paranormal researcher claims that the proportions of americans have seen a UFO, p, is less than 2 in every ten thousand. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion. a. there is sufficient evidence to support the claim that the true proportion is less than 2 in ten thousand b. there is not sufficient evidence to support the claim that the true proportion is greater than 2 in ten thousand c. there is sufficient evidence to support the claim that the true proportion is greater that 2 in ten thousand. d. there is not sufficient evidence to support the claim that the true proportion is less that 2 in ten thousand.

d. there is not sufficient evidence to support the claim that the true proportion is less than 2 in ten thousand


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