Deck 18: A Roadmap for Analyzing Data

Question 1

An Undergraduate Study Committee of 6 members at a major university is to be formed from a pool of faculty of 18 men and 6 women.Which of the following distributions would you use to determine the probability that half of the members will be women?

A)Hypergeometric distribution.
B)Poisson distribution.
C)Uniform distribution.
D)Binomial distribution.

Answer 1

Hypergeometric distribution.

Question 2

Suppose the probability of finding a defective spot in an area on a piece of glass is the ratio of that area to the total area of the glass and the probability is the same across the whole glass.Which of the following distributions would you use to determine the probability of finding a defective spot in a randomly selected one square inch area on a piece of 10 feet by 10 feet glass?

A)Normal distribution.
B)Poisson distribution.
C)Uniform distribution.
D)Exponential distribution.

Answer 2

Uniform distribution.

Question 3

The quality control manager of a candy plant is inspecting a batch of chocolate chip bags.When the production process is in control,the average number of blue chocolate chips per bag is 6.0.Suppose that the probability of a blue chocolate chip in a bag is constant across bags and the number of blue chocolate chips in one bag is independent of the number in any other bag.Which of the following distributions would you use to figure out the probability that any particular bag being inspected has 4.0 blue chocolate chips?

A)Hypergeometric distribution.
B)Poisson distribution.
C)Uniform distribution.
D)Binomial distribution.

Answer 3

Hypergeometric distribution.

Question 4

A debate team of 4 members for a high school will be chosen randomly from a potential group of 15 students.Ten of the 15 students have no prior competition experience while the others have some degree of experience.Which of the following distributions would you use to determine the probability that none of the members chosen for the team have any competition experience?

A)Hypergeometric distribution.
B)Poisson distribution.
C)Uniform distribution.
D)Binomial distribution.

Question 5

Suppose the probability of a car accident taking place anywhere on a stretch of a 20 miles highway is the same.Which of the following distributions would you use to determine the probability that a car accident will occur somewhere between the 5-mile and 15-mile posts of the highway?

A)Normal distribution.
B)Poisson distribution.
C)Uniform distribution.
D)Exponential distribution.

Question 6

It was believed that the probability of a small business that declared bankruptcy per month was the same in any month.Also,the number of small businesses that declared bankruptcy was the same every month.Which of the following distributions would you use to determine the probability that more than 3 bankruptcies will occur next month?

A)Hypergeometric distribution.
B)Poisson distribution.
C)Uniform distribution.
D)Binomial distribution.

Question 7

Suppose that past history shows that 60% of college students prefer Coca-Cola.A sample of 10 students is to be selected.Which of the following distributions would you use to figure out the probability that at least half of them will prefer Coca-Cola?

A)Binomial distribution.
B)Poisson distribution.
C)Normal distribution.
D)Hypergeometric distribution.

Question 8

Suppose the light bulbs in a factory burn out at a rate of 50 bulbs per month.Which of the following distributions would you use to determine the probability that the next two light bulbs will burn out 2 days apart?

A)Hypergeometric distribution.
B)Poisson distribution.
C)Uniform distribution.
D)Exponential distribution.

Question 9

Suppose students arrive at an advising office at a rate of 30 per hour.Which of the following distributions would you use to determine the probability that the next two students will arrive 30 minutes apart?

A)Normal distribution.
B)Poisson distribution.
C)Uniform distribution.
D)Exponential distribution.

Question 10

The probability of receiving a 911 call on a university campus is the same every day.The probability of having received a 911 call on a single day does not change the probability of receiving a 911 call on any other day.Which of the following distributions would you use to determine the probability that a 911 call will be received next day?

A)Binomial distribution.
B)Poisson distribution.
C)Normal distribution.
D)Hypergeometric distribution.

Question 11

Suppose the probability of producing a defective light bulb from a production line is the same over an interval of 90 minutes.Which of the following distributions would you use to determine the probability that a defective light bulb will be produced in a 15 minutes interval?

A)Normal distribution.
B)Poisson distribution.
C)Uniform distribution.
D)Exponential distribution.

Question 12

The Tampa International Airport (TIA)has been criticized for the waiting times associated with departing flights.While the critics acknowledge that many flights have little or no waiting times,their complaints deal more specifically with the longer waits attributed to some flights.The critics are interested in showing,mathematically,exactly what the problems are.Which type of distribution would best model the waiting times of the departing flights at TIA?

A)Uniform distribution
B)Binomial distribution
C)Normal distribution
D)Exponential distribution

Question 13

The probability that a particular brand of smoke alarm will function properly and sound an alarm in the presence of smoke is 0.8.You have 5 such alarms in your home and they operate independently.Which of the following distributions would you use to determine the probability that all of them will function properly in case of a fire?

A)Binomial distribution.
B)Poisson distribution.
C)Normal distribution.
D)Hypergeometric distribution.

Question 14

It was believed that the probability of being hit by lightning is the same during the course of a thunderstorm.Which of the following distributions would you use to determine the probability of being hit by a lightning during the first half of a thunderstorm?

A)Normal distribution.
B)Poisson distribution.
C)Uniform distribution.
D)Exponential distribution.

Question 15

The amount of juice that can be squeezed from a randomly selected orange out a box of oranges with approximately the same size can most likely be modeled by which of the following distributions?

A)Uniform distribution.
B)Poisson distribution.
C)Normal distribution.
D)Exponential distribution.

Question 16

The probability that a particular brand of smoke alarm will malfunction in the presence of smoke is 0.002.A batch of 100,000 such alarms was produced by independent production lines.Which of the following distributions would you use to figure out the probability that at most 5,000 of them will malfunction in case of a fire?

A)Hypergeometric distribution.
B)Poisson distribution.
C)Binomial distribution.
D)Uniform distribution.

Question 17

Suppose the probability of a power outage at a nuclear power plant on a single day is the same every day of the year.Also,the probability of having a power outage on a single day does not increase or decrease the probability of a power outage on another day.Which of the following distributions would you use to determine the probability that a power outage will occur next Monday?

A)Binomial distribution.
B)Poisson distribution.
C)Normal distribution.
D)Hypergeometric distribution.

Question 18

From an inventory of 48 new cars being shipped to local dealerships,corporate reports indicate that 12 have defective radios installed.Which of the following distributions would you use to determine the probability that out of the 8 new cars it just received that,when each is tested,no more than 2 of the cars have defective radios?

A)Hypergeometric distribution.
B)Poisson distribution.
C)Uniform distribution.
D)Binomial distribution.

Question 19

The weight of a randomly selected cookie from a production line can most likely be modeled by which of the following distributions?

A)Uniform distribution.
B)Poisson distribution.
C)Normal distribution.
D)Exponential distribution.

Question 20

A certain type of new business succeeds 60% of the time.Suppose that 3 such businesses open (where they do not compete with each other,so it is reasonable to believe that their relative successes would be independent).Which of the following distributions would you use to determine the probability that all of them will fail?

A)Binomial distribution.
B)Poisson distribution.
C)Normal distribution.
D)Hypergeometric distribution.

Question 21

Every spring semester,the School of Business coordinates a luncheon for graduating seniors,their families,and friends with local business leaders .Corporate sponsorship pays for the lunches of each of the seniors,but students have to purchase tickets to cover the cost of lunches served to guests they bring with them.Data on the number of guests each graduating senior invited to the luncheon and the number of graduating seniors in each category were collected.A histogram can be used to present this information.

Question 22

A professor of economics at a small Texas university wanted to determine what year in school students were taking his tough economics course.Data were collected on the class status ("freshman","sophomore","junior" or "senior")of 50 students enrolled in one of his economics courses.A side-by-side bar chart can be used to present this information.

Question 23

Data on the amount of money made in a year by 1000 families in a small town were collected.You want to know the difference in the amount of money made in that year by the middle 50% of the 1,000 families.Which of the following would you compute?

A)Arithmetic mean.
B)Median.
C)Interquartile Range.
D)Coefficient of correlation.

Question 24

Private colleges and universities rely on money contributed by individuals and corporations for their operating expenses.Much of this money is put into a fund called an endowment,and the college spends only the interest earned by the fund.A recent survey of 8 private colleges in the United States collected information on the endowment amount.Based on this information,which of the following will you construct to learn about the mean endowment of all private colleges in the United States?

A)Confidence interval estimate for the total using the Student's t distribution.
B)Confidence interval estimate for the mean using the Student's t distribution.
C)Confidence interval estimate for the proportion using the standard normal distribution.
D)Confidence interval estimate for the difference between two means using the standard normal distribution.

Question 25

A wheel spinning game is played with a special wheel with 24 equal segments that determine the dollar values of a single spin.Which of the following distributions can best be used to compute the probability of winning a specific dollar value in a single spin?

A)Uniform distribution
B)Binomial distribution
C)Normal distribution
D)Exponential distribution

Question 26

The opinions (classified as "for","neutral" or "against")of a sample of 200 people broken down by gender about the latest congressional plan to eliminate anti-trust exemptions for professional baseball.You can present this information using a scatter plot.

Question 27

A quality control manager at a plant that produces o-rings is concerned about whether the diameter of the o-rings that are produced is conformable to the specification.She has calculated that the average diameter of the o-rings is 4.2 centimeters.She also knows that approximately 95% of the o-rings have diameters fall between 3.2 and 5.2 centimeters and almost all of the o- rings have diameters between 2.7 and 5.7 centimeters.When modeling the diameters of the o- rings,which distribution should the scientists use?

A)Uniform distribution
B)Binomial distribution
C)Normal distribution
D)Exponential distribution

Question 28

Data on the amount of time spent studying and the exam score of 150 students at a high school were collected.You want to know if a student's exam score is linearly related to the amount of time spent on studying.Which of the following would you compute?

A)Arithmetic mean.
B)Median.
C)Coefficient of variation.
D)Coefficient of correlation

Question 29

Every spring semester,the School of Business coordinates with local business leaders a luncheon for graduating seniors,their families,and friends.Corporate sponsorship pays for the lunches of each of the seniors,but students have to purchase tickets to cover the cost of lunches served to guests they bring with them.Data on the number of guests each graduating senior invited to the luncheon and the number of graduating seniors in each category were collected.You want to know the most popular number of guests brought by the graduating seniors.Which of the following will you compute?

A)Arithmetic mean.
B)Median.
C)Interquartile Range.
D)Mode.

Question 30

An insurance company evaluates many variables about a person before deciding on an appropriate rate for automobile insurance.A representative from a local insurance agency selected a random sample of 15 insured drivers and recorded the number of claims each made in the last 3 years.Based on this information,which of the following will you construct to learn about the mean number of claims made by the company's customer?

A)Confidence interval estimate for the mean using the standard normal distribution.
B)Confidence interval estimate for the mean using the Student's t distribution.
C)Confidence interval estimate for the proportion using the standard normal distribution.
D)Confidence interval estimate for the difference between two means using the standard normal distribution.

Question 31

At a meeting of information systems officers for regional offices of a national company,a survey was taken to determine the number of employees the officers supervise in the operation of their departments,where X is the number of employees overseen by each information systems officer.A stem-and-leaf display can be used to present this information.

Question 32

Data were collected on the amount of detergent used in gallons in a month by 25 drive-through car wash operations in Phoenix.You can use a time-series plot to process this information.

Question 33

Data on the amount of time spent studying for a particular exam at a high school were collected for 150 students.You want to know half of the students spent at least how much time studying for that exam.Which of the following would you compute?

A)Arithmetic mean.
B)Median.
C)Coefficient of variation.
D)Coefficient of correlation.

Question 34

A sample of 200 students at a Big-Ten university was taken after the midterm to ask whether they went bar hopping the weekend before the midterm or spent the weekend studying,and whether they did well or poorly on the midterm.You can use a contingency table to present this information.

Question 35

Every spring semester,the School of Business coordinates with local business leaders a luncheon for graduating seniors,their families,and friends.Corporate sponsorship pays for the lunches of each of the seniors,but students have to purchase tickets to cover the cost of lunches served to guests they bring with them.Data on the number of guests each graduating senior invited to the luncheon from 500 graduating seniors last year were collected.Based on this information,which of the following will you construct to learn about the percentage of seniors who will bring at least one guest to a luncheon?

A)Confidence interval estimate for the total using the Student's t distribution.
B)Confidence interval estimate for the mean using the Student's t distribution.
C)Confidence interval estimate for the proportion using the standard normal distribution.
D)Confidence interval estimate for the difference between two means using the standard normal distribution.

Question 36

A survey was conducted to determine how people rated the quality of programming available on television.Respondents were asked to rate the overall quality from 0 (no quality at all)to 100 (extremely good quality).A cumulative percentage polygon (ogive)can be used to present this information.

Question 37

Data on the amount of money made in a year by 1,000 families in a small town were collected.You want to know if the money made is normally distributed.Which of the following would you use?

A)Bar chart.
B)Scatter plot.
C)Boxplot.
D)Time-series plot.

Question 38

Suppose that past history shows that 6% of college students prefer Brand A Cola.A sample of 10,000 students is to be selected.Which of the following distributions would you use to compute the probability that at least half of them will prefer Brand A cola?

A)Hypergeometric distribution.
B)Poisson distribution.
C)Binomial distribution.
D)Uniform distribution.

Question 39

An insurance company evaluates many variables about a person before deciding on an appropriate rate for automobile insurance.A representative from a local insurance agency selected a random sample of 100 insured drivers and recorded,X,the number of claims each made in the last 3 years.A Pareto chart can be used to present this information.

Question 40

Data on the amount of money made in a year by 1000 families in a small town were collected.You want to know how much each family will get if the money made by all the 1000 families is pooled together and then evenly redistributed back to them.Which of the following would you compute?

A)Arithmetic mean.
B)Median.
C)Interquartile Range.
D)Coefficient of correlation.

Question 41

An airline wants to select a computer software package for its reservation system.Four software packages (1,2,3,and 4)are commercially available.The airline will choose the package that bumps as few passengers,on the average,as possible during a month.An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks.(A total of 20 weeks was included in the experiment. )Which of the following tests will be the most appropriate?

A)Paired t test.
B)Wilcoxon rank sum test.
C)Kruskal-Wallis rank Test.
D)Tukey-Kramer multiple comparisons procedure for one-way ANOVA.

Question 42

Are Japanese managers more motivated than American managers? A randomly selected group of 100 managers from each group were administered the Sarnoff Survey of Attitudes Toward Life (SSATL),which measures motivation for upward mobility.The mean and standard deviation of the SSATL scores are computed.The standard deviations of the SSATL scores suggest that the standard deviation from the two groups is very different.Which of the following tests will be the most appropriate?

A)t test for the mean.
B)Z test for the proportion.
C)Pooled-variance t test.
D)Separate-variance t test.

Question 43

A physician and president of a Tampa Health Maintenance Organization (HMO)are attempting to show the benefits of managed health care to an insurance company.The physician believes that certain types of doctors are more cost-effective than others.To investigate this,the president obtained independent random samples of 20 HMO physicians from each of 4 primary specialties - General Practice (GP),Internal Medicine (IM),Pediatrics (PED),and Family Physicians (FP)- and recorded the total charges per member per month for each.A second variable which the president believes influences total charges per member per month is whether the doctor is a foreign or USA medical school graduate.To investigate this,the president also collected data on 20 foreign medical school graduates in each of the 4 primary specialty types described above.So,information on charges for 40 doctors (20 foreign and 20 USA medical school graduates)was obtained for each of the 4 specialties.The president has already found out that specialty types and origin of the medical degree do not interact to affect the charges.Which of the following tests will be the most appropriate to find out if the primary specialty affects the charges?

A)Tukey-Kramer multiple comparisons procedure for one-way ANOVA.
B)One-way ANOVA F test for differences among more than two means.
C)Two-way ANOVA F test for primary specialty effect.
D)Two-way ANOVA F test for origin of the medical degree effect.

Question 44

An airline wants to select a computer software package for its reservation system.Four software packages (1,2,3,and 4)are commercially available.An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks and data on the number of Copyright ©2019 Pearson Education,Inc.
18-18 A Roadmap for Analyzing Data
Passengers that are bumped over a month are collected.(A total of 20 weeks was included in the experiment. )The variability of the number of passengers that are bumped is found to be roughly the same for the 4 packages.The distribution on the number of passengers that are bumped has been found out to be right-skewed for package 1 and 4,left-skewed for package 2 and normal for package 3.Which of the following tests will be the most appropriate to find out if the mean number of passengers being bumped over a month is the same across the 4 packages?

A)Paired t test.
B)Pooled-variance t test.
C)One-way ANOVA F test for differences among more than two means.
D)Kruskal-Wallis rank test.

Question 45

A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination.A group of 50 men (group 1)and 40 women (group 2)were asked if they thought sexual discrimination is a problem in the United States.Of those sampled,11 of the men and 19 of the women did believe that sexual discrimination is a problem.Which of the following tests will you use to find out if there is any difference in attitudes about sexual discrimination?

A)Pooled-variance t test.
B)Paired t test.
C)Z test for difference in proportions.
D)Wilcoxon rank sum test.

Question 46

A researcher randomly sampled 30 graduates,18 males and 12 females,of an MBA program and recorded data concerning their starting salaries.Of primary interest to the researcher was the effect of gender on starting salaries.Statistics of the mean salaries of the females and males in the sample were computed.The sample standard deviations suggest that the variability of starting salaries of the two groups is almost the same.Suppose the starting salaries from both groups can be considered as normally distributed.Which of the following tests will be the most appropriate?

A)Pooled-variance t test.
B)Separate-variance t test.
C)Paired t test.
D)Wilcoxon rank sum test.

Question 47

The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.She would now like to determine whether or not the mean age of her customers is more than 30.If so,she plans to alter the entertainment to appeal to an older crowd.If not,no entertainment changes will be made.Which of the following tests will you perform to help her decide?

A)t test for the mean.
B)Z test for the proportion.
C)Pooled-variance t test.
D)Separate-variance t test.

Question 48

A buyer for a manufacturing plant suspects that his primary supplier of raw materials is overcharging.In order to determine if his suspicion is correct,he contacts a second supplier and asks for the prices on various identical materials.He wants to compare these prices with those of his primary supplier.He collected data on 6 different materials from both suppliers.He believes that the differences are normally distributed.Which of the following tests will be the most appropriate?

A)Pooled-variance t test.
B)Paired t test.
C)Wilcoxon rank sum test.
D)Kruskal-Wallis rank Test.

Question 49

An entrepreneur is considering the purchase of a coin-operated laundry.The current owner claims that over the past 5 years,the mean daily revenue was $675 with a standard deviation of $75.A sample of 30 days reveals a daily mean revenue of $625 and a standard deviation of $70.Which of the following tests will be the most appropriate?

A)t test for the mean.
B)Z test for the proportion.
C)Pooled-variance t test.
D)Separate-variance t test.

Question 50

A quality control engineer is in charge of the manufacture of computer disks.Two different processes can be used to manufacture the disks.He suspects that the Kohler method produces a greater proportion of defects than the Russell method.He samples 150 of the Kohler and 200 of the Russell disks and finds that 27 and 18 of them,respectively,are defective.If Kohler is designated as "Group 1" and Russell is designated as "Group 2," which of the following tests will you use to find out if the Kohler method is worse than the Russell method?

A)Paired t test.
B)Z test for difference in proportions.
C) $\chi$ ² test for difference in proportions.
D)Kruskal-Wallis rank Test.

Question 51

The use of preservatives by food processors has become a controversial issue.Suppose 2 preservatives are extensively tested and determined safe for use in meats.A processor wants to compare the preservatives for their effects on retarding spoilage.They will choose to use the preservative that can keep the meat fresh for the longest amount of time.Suppose 15 cuts of fresh meat are treated with preservative I and 15 are treated with preservative II,and the number of hours until spoilage begins is recorded for each of the 30 cuts of meat.Suppose the variability of the number of hours until spoilage is the same for meat treated by both preservatives,but the normal probability plots reveal that the number of hours until spoilage is right-skewed for the 15 cuts treated by preservative I and left-skewed for the 15 cuts treated with preservative II.Which of the following tests will be the most appropriate?

A)Pooled-variance t test.
B)Paired t test.
C)Wilcoxon rank sum test.
D)Levene's test.

Question 52

A survey claims that 9 out of 10 doctors recommend aspirin for their patients with headaches.To test this claim,a random sample of 100 doctors results in 83 who indicate that they recommend aspirin.Which of the following tests will you perform?

A)t test for the mean.
B)Z test for the proportion.
C)Pooled-variance t test.
D)Separate-variance t test.

Question 53

A physician and president of a Tampa Health Maintenance Organization (HMO)are attempting to show the benefits of managed health care to an insurance company.The physician believes that certain types of doctors are more cost-effective than others.To investigate this,the president obtained independent random samples of 20 HMO physicians from each of 4 primary specialties - General Practice (GP),Internal Medicine (IM),Pediatrics (PED),and Family Physicians (FP)- and recorded the total charges per member per month for each.A second variable which the president believes influences total charges per member per month is whether the doctor is a foreign or USA medical school graduate.To investigate this,the president also collected data on 20 foreign medical school graduates in each of the 4 primary specialty types described above.So,information on charges for 40 doctors (20 foreign and 20 USA medical school graduates)was obtained for each of the 4 specialties.The president has already found out that specialty types and origin of the medical degree do not interact to affect the charges.He has also found out special types do have an impact on average charges.Which of the following tests will be the most appropriate to find out which primary specialty has the highest charges?

A)Tukey-Kramer multiple comparisons procedure for one-way ANOVA.
B)Tukey multiple comparisons procedure for two-way ANOVA.
C)Two-way ANOVA F test for primary specialty effect.
D)Two-way ANOVA F test for origin of the medical degree effect.

Question 54

An airline wants to select a computer software package for its reservation system.Four software packages (1,2,3,and 4)are commercially available.An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks and data on the number of passengers that are bumped over a month are collected.(A total of 20 weeks was included in the experiment. )The variance on the number of passengers that are bumped is found to be roughly the same for the 4 packages.Which of the following tests will be the most appropriate to find out if the mean number of passengers being bumped over a month is the same across the 4 packages?

A)Paired t test.
B)Pooled-variance t test.
C)One-way ANOVA F test for differences among more than two means.
D)Two-way ANOVA F test for interaction effect.

Question 55

A few years ago,Pepsi invited consumers to take the "Pepsi Challenge." Consumers were asked to decide which of two sodas,Coke or Pepsi,they preferred in a blind taste test.Pepsi was interesting in determining what factors played a role in people's taste preferences.One of the factors studied was the gender of the consumer.Data on the percentage of men and women depicting preference for Pepsi were collected.Which of the following tests will you use to find out if there is any difference in preference between the different gender groups?

A)Kruskal-Wallis rank Test.
B)Paired t test.
C)Z test for difference in proportions.
D)Wilcoxon rank sum test.

Question 56

A sample of 100 fuses from a very large shipment is found to have 10 that are defective.Based on this information,which of the following will you construct to learn about the proportion of fuses that are defective?

A)Confidence interval estimate for the total using the Student's t distribution.
B)Confidence interval estimate for the mean using the Student's t distribution.
C)Confidence interval estimate for the proportion using the standard normal distribution.
D)Confidence interval estimate for the difference between two means using the standard normal distribution.

Question 57

A realtor wants to compare the variability of sales-to-appraisal ratios of residential properties sold in four neighborhoods (A,B,C,and D).Four properties are randomly selected from each neighborhood and the ratios recorded for each were collected.Which of the following tests will be the most appropriate?

A)Kruskal-Wallis rank Test.
B)Tukey-Kramer multiple comparisons procedure for one-way ANOVA.
C)Levene's test.
D)Wilcoxon rank sum test.

Question 58

A pizza chain is considering opening a new store in an area that currently does not have any such stores.The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area have a favorable view of its brain.It conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have a favorable view.Which of the following tests will be the most appropriate?

A)t test for the mean.
B)Z test for the proportion.
C)Pooled-variance t test.
D)Separate-variance t test.

Question 59

A physician and president of a Tampa Health Maintenance Organization (HMO)are attempting to show the benefits of managed health care to an insurance company.The physician believes that certain types of doctors are more cost-effective than others.To investigate this,the president obtained independent random samples of 20 HMO physicians from each of 4 primary specialties - General Practice (GP),Internal Medicine (IM),Pediatrics (PED),and Family Physicians (FP)- and recorded the total charges per member per month for each.A second variable which the president believes influences total charges per member per month is whether the doctor is a foreign or USA medical school graduate.To investigate this,the president also collected data on 20 foreign medical school graduates in each of the 4 primary specialty types described above.So,information on charges for 40 doctors (20 foreign and 20 USA medical school graduates)was obtained for each of the 4 specialties.Which of the following tests will be the most appropriate to find out if the primary specialty and the origin of medical school degree interact to affect the charges?

A)Tukey-Kramer multiple comparisons procedure for one-way ANOVA.
B)One-way ANOVA F test for differences among more than two means.
C)One-way ANOVA F test for interaction effect.
D)Two-way ANOVA F test for interaction effect.

Question 60

To test the effectiveness of a business school preparation course,8 students took a general business test before and after the course.Suppose the before and after exam scores are both normally distributed.Which of the following tests will be the most appropriate?

A)Pooled-variance t test.
B)Paired t test.
C)Wilcoxon rank sum test.
D)Kruskal-Wallis rank Test.

Question 61

An economist is interested to see how consumption for an economy (in $ billions)is influenced by gross domestic product ($ billions)and aggregate price (consumer price index).Annual data Copyright ©2019 Pearson Education,Inc.
A Roadmap for Analyzing Data 18-23
From 30 years were collected.Which of the following would be the most appropriate analysis to perform?

A)Simple linear regression.
B)Multiple linear regression.
C)Exponential smoothing.
D)Autoregressive modeling for trend fitting and forecasting

Question 62

The director of admissions at a state college is interested in seeing if admissions status (admitted,waiting list,denied admission)at his college is related to the type of community (urban,rural,suburban)in which an applicant resides.Which of the following tests will be the most appropriate?

A) $\chi$ ² test for independence.
B)Two-way ANOVA F test for the type of community effect.
C)Two-way ANOVA F test for interaction effect.
D)Kruskal-Wallis rank Test.

Question 63

A certain type of rare gem serves as a status symbol for many of its owners.In theory,for low prices,the demand increases,and it decreases as the price of the gem increases.However,experts hypothesize that when the gem is valued at very high prices,the demand increases with price due to the status owners believe they gain in obtaining the gem.Data on price and quantity sold were collected for a sample of 35 rare gems of this type.Which of the following would be the most appropriate analysis to perform?

A)Quadratic regression model.
B)Exponential smoothing.
C)Autoregressive modeling for trend fitting and forecasting.
D)Least-squares forecasting with monthly or quarterly data.

Question 64

A contractor wants to forecast the number of contracts in future quarters,using quarterly data on number of contracts over the last 10 years.Which of the following would be the most appropriate analysis to perform?

A)Autoregressive modeling.
B)One-way ANOVA.
C)Least-squares forecasting with monthly or quarterly data.
D)Two-way ANOVA.

Question 65

A manager of a product sales group believes the number of sales made by an employee depends on how many years that employee has been with the company and how he/she scored on a business aptitude test.A random sample of 38 employees was selected to collect data on their number of sales,number of years with the company and scores on a business aptitude test.Which of the following would you perform to draw conclusion on the belief?

A)One-way ANOVA.
B)Simple linear regression.
C)Two-way ANOVA
D)Multiple linear regression.

Question 66

A political pollster randomly selects a sample of 100 voters each day for 8 successive days and asks how many will vote for the incumbent.The pollster wishes to see if the percentage favoring the incumbent candidate is too erratic.Which of the following would be the most appropriate analysis to perform?

A)Multiple linear regression.
B)Exponential smoothing.
C)Construct a p-chart.
D)Perform a Levene's test.

Question 67

An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants all 3 varieties of the seeds on each of 5 different patches of fields.She then measures the crop yield in bushels per acre.Which of the following tests will be the most appropriate to find out if the different patches is advantageous in reducing the random error?

A)One-way ANOVA F test for differences among more than two means.
B)Randomized block F test for differences among more than two means.
C)Randomized block F test for block effect.
D)Two-way ANOVA F test for the variety effect.

Question 68

SCENARIO 18-2
One of the most common questions of prospective house buyers pertains to the cost of heating in dollars (Y). To provide its customers with information on that matter, a large real estate firm used the following 4 variables to predict heating costs: the daily minimum outside temperature in degrees of Fahrenheit ( X₁ ), the amount of insulation in inches ( X ₂ ), the number of windows in the house ( X₃ ), and the age of the furnace in years ( X ₄ ). Given below are the EXCEL outputs of two regression models.


Referring to Scenario 18-1,which of the independent variables in the model are significant at the 5% level?

A)Income,Size,School
B)Income,Size
C)Size,School
D)Income,School

Question 69

A Paso Robles wine producer wanted to forecast the cases of Merlot wine sold.The number of cases of merlot wine sold in a 28-year period was collected.Which of the following would be the most appropriate analysis to perform?

A)The Marascuilo Procedure.
B)The Tukey-Kramer Procedure.
C)Least-squares forecasting with monthly or quarterly data.
D)Exponential smoothing modeling.

Question 70

SCENARIO 18-2
One of the most common questions of prospective house buyers pertains to the cost of heating in dollars (Y). To provide its customers with information on that matter, a large real estate firm used the following 4 variables to predict heating costs: the daily minimum outside temperature in degrees of Fahrenheit ( X₁ ), the amount of insulation in inches ( X ₂ ), the number of windows in the house ( X₃ ), and the age of the furnace in years ( X ₄ ). Given below are the EXCEL outputs of two regression models.


Referring to Scenario 18-1,when the builder used a simple linear regression model with house size (House)as the dependent variable and education (School)as the independent variable,he obtained an r² value of 23.0%.What additional percentage of the total variation in house size has been explained by including family size and income in the multiple regression?

A)2.8%
B)51.8%
C)72.6%
D)74.8%

Question 71

An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants all 3 varieties of the seeds on each of 5 different patches of fields.She then measures the crop yield in bushels per acre.She has found out that the different varieties do have an impact on crop yield.Which of the following tests will be the most appropriate to find out which variety will produce the highest yield?

A)One-way ANOVA F test for differences among more than two means.
B)Kruskal-Wallis rank Test.
C)Tukey-Kramer multiple comparisons procedure for one-way ANOVA.
D)Tukey multiple comparisons procedure for randomized block designs.

Question 72

Four surgical procedures currently are used to install pacemakers.If the patient does not need to return for follow-up surgery,the operation is called a "clear" operation.A heart center wants to compare the 4 procedures,and collects the following numbers of patients from their own records: Which of the following tests will be the most appropriate to find out whether the 4 procedures are equally effective?

A) $\chi$ ² test for difference in proportions.
B)Z test for difference in proportions.
C)One-way ANOVA F test for differences among more than two means
D)Kruskal-Wallis rank Test.

Question 73

Four surgical procedures currently are used to install pacemakers.If the patient does not need to return for follow-up surgery,the operation is called a "clear" operation.A heart center wants to compare the 4 procedures,and collects the following numbers of patients from their own records: Which of the following tests will be the most appropriate to find out which of the 4 procedures is the most effective?

A) $\chi$ ² test for difference in proportions.
B)Z test for difference in proportions.
C)One-way ANOVA F test for differences among more than two means
D)The Marascuilo procedure.

Question 74

SCENARIO 18-2
One of the most common questions of prospective house buyers pertains to the cost of heating in dollars (Y). To provide its customers with information on that matter, a large real estate firm used the following 4 variables to predict heating costs: the daily minimum outside temperature in degrees of Fahrenheit ( X₁ ), the amount of insulation in inches ( X ₂ ), the number of windows in the house ( X₃ ), and the age of the furnace in years ( X ₄ ). Given below are the EXCEL outputs of two regression models.


Referring to Scenario 18-1,what fraction of the variability in house size is explained by income,size of family,and education?

A)27.0%
B)33.4%
C)74.8%
D)86.5%

Question 75

The superintendent of a school district wanted to predict the percentage of students passing a sixth-grade proficiency test.She obtained the data on percentage of students passing the proficiency test (% Passing),daily mean of the percentage of students attending class (% Attendance),mean teacher salary in dollars (Salaries),and instructional spending per pupil in dollars (Spending)of 47 schools in the state.She believed that holding everything else constant,instructional spending per pupil had a positive but decreasing impact on percentage.Which of the following would be the most appropriate analysis to perform?

A)Autoregressive modeling.
B)Exponential smoothing.
C)Least-squares forecasting with monthly or quarterly data.
D)Linear regression with log transformation.

Question 76

An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants all 3 varieties of the seeds on each of 5 different patches of fields.She then measures the crop yield in bushels per acre.Which of the following tests will be the most appropriate to find out if there is any difference in crop yield among the 3 varieties?

A)Paired t test
B)One-way ANOVA F test for differences among more than two means.
C)Randomized block F test for differences among more than two means.
D)Two-way ANOVA F test for the variety effect.

Question 77

SCENARIO 18-2
One of the most common questions of prospective house buyers pertains to the cost of heating in dollars (Y). To provide its customers with information on that matter, a large real estate firm used the following 4 variables to predict heating costs: the daily minimum outside temperature in degrees of Fahrenheit ( X₁ ), the amount of insulation in inches ( X ₂ ), the number of windows in the house ( X₃ ), and the age of the furnace in years ( X ₄ ). Given below are the EXCEL outputs of two regression models.


Referring to Scenario 18-1,which of the following values for the level of significance is the smallest for which every explanatory variable is significant individually?

A)0.01
B)0.025
C)0.05
D)0.15

Question 78

SCENARIO 18-2
One of the most common questions of prospective house buyers pertains to the cost of heating in dollars (Y). To provide its customers with information on that matter, a large real estate firm used the following 4 variables to predict heating costs: the daily minimum outside temperature in degrees of Fahrenheit ( X₁ ), the amount of insulation in inches ( X ₂ ), the number of windows in the house ( X₃ ), and the age of the furnace in years ( X ₄ ). Given below are the EXCEL outputs of two regression models.


Referring to Scenario 18-1,which of the following values for the level of significance is the smallest for which at least two explanatory variables are significant individually?

A)0.01
B)0.025
C)0.05
D)0.15

Question 79

An investor wanted to forecast the price of a certain stock.He collected the mean daily price for the stock over the past 10 years.Which of the following would be the most appropriate analysis to perform?

A)The Marascuilo Procedure.
B)The Tukey-Kramer Procedure.
C)Least-squares forecasting with monthly or quarterly data.
D)Autoregressive modeling.

Question 80

A Paso Robles wine producer wanted to forecast the cases of Merlot wine sold.The number of cases of merlot wine sold in a 28-year period was collected.Which of the following would be the most appropriate analysis to perform?

A)The Marascuilo Procedure.
B)The Tukey-Kramer Procedure.
C)Least-squares forecasting with monthly or quarterly data.
D)Moving averages modeling.