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Statistics For Management And Economics 9th Edition Gerald Keller, Kenneth C Louden - Solutions
ANES2008* Likely to be employed (EMPLOY: 1 Working now, 2–8 Other categories).
ANES2008* Have health insurance (HEALTH 1 Yes, 5 No).
ANES2008* Always vote (OFTEN: 1 Always, 2, 3, 4 Other categories).
Xr13-126 Obesity among children has quickly become an epidemic across North America.Television and video games are part of the problem.To gauge to what extent nonparticipation in organized sports contributes to the crisis, surveys of children 5 to 14 years old were conducted this year and 10 years
Refer to Exercise 13.127. Assume that the profit is 20% of the gross. If the ads cost $50 per week, can the restaurateur conclude that the ads are profitable?
Xr13-130 Research scientists at a pharmaceutical company have recently developed a new nonprescription sleeping pill. They decide to test its effectiveness by measuring the time it takes for people to fall asleep after taking the pill. Preliminary analysis indicates that the time to fall asleep
Xr13-131 The city of Toronto boasts four daily newspapers.Not surprisingly, competition is keen. To help learn more about newspaper readers, an advertiser selected a random sample of people who bought their newspapers from a street vendor and people who had the newspaper delivered to their homes.
Xr13-134 In designing advertising campaigns to sell magazines, it is important to know how much time each of several demographic groups spends reading magazines. In a preliminary study, 40 people were randomly selected. Each was asked how much time per week he or she spends reading magazines; in
Xr13-135 In a study to determine whether gender affects salary offers for graduating MBA students, 25 pairs of students were selected. Each pair consisted of a female and a male student who were matched according to their grade point averages, courses taken, ages, and previous work experience.The
Xr13-136 Have North Americans grown to distrust television and newspaper journalists? A study was conducted this year to compare what Americans currently think of the news media versus what they said 3 years ago. The survey asked respondents whether they agreed that the news media tends to favor
Refer to Exercise 13.137. Can we conclude that the defective rate differs between the two machines?
Xr13-140 Researchers at the University of Ohio surveyed 219 students and found that 148 had Facebook accounts. All students were asked for their current grade point average. Do the data allow us to infer that Facebook users have lower GPAs?
Xr13-144 After observing the results of the test in Exercise 13.143, a statistics practitioner organized another experiment. People were matched according to gender, height, and weight. One member of each matched pair then exercised vigorously twice a week, and the other member exercised moderately
Xr13-145 “Pass the Lotion,” a long-running television commercial for Special K cereal, features a flabby sunbather who asks his wife to smear sun lotion on his back. A random sample of Special K customers and a random sample of people who do not buy Special K were asked to indicate whether they
Xr13-146 Refer to Exercise 13.145. The respondents were also asked whether they thought the ad would be effective in selling the product. The responses (1 Yes and 2 No) were recorded. Can we infer that Special K buyers are more likely to respond yes than nonbuyers?
Xr13-150 Medical experts advocate the use of vitamin and mineral supplements to help fight infections. A study undertaken by researchers at Memorial University (reported in the British journal Lancet, November 1992) recruited 96 men and women age 65 and older. One-half of them received daily
Xr13-152 In 2005 Larry Summers, then president of Harvard University, received an avalanche of criticism for his attempt to explain why there are more male professors than female professors in mathematics.He suggested that there were innate differences that might permanently thwart the search for a
Xr12-31* Exercise 12.31 dealt with the amount of time high school students spend per week at parttime jobs. In addition to the hours of part-time work, the school guidance counselor recorded the gender of the student surveyed (1 female and 2 male). Can we conclude that female and male high
Xm12-01* The company that organized the survey to determine the amount of discarded newspaper(Example 12.1) kept track of the type of neighborhood(1 city and 2 suburbs). Do these data allow the company management to infer that city households discard more newspaper than do suburban households?
Xr13-155 Movie studios segment their markets by age. Two segments that are particularly important to this industry are teenagers and 20-to-30-year-olds. To assess markets and guide the making of movies, a random sample of teenagers and 20-to-30-year-olds was drawn. All were asked to report the
Xr12.125* In addition to asking about educational attainment, the survey conducted in Exercise 12.125 also asked whether the respondent had plans in the next 2 years to take a course (1 no and 2 yes). Can we conclude that Californians who did not complete high school are less likely to take a
Xr12-91* In addition to recording whether faculty members who are between 55 and 64 plan to retire before they reach 65 in Exercise 12.91, the consultant asked each to report his or her annual salary.Can the president infer that professors aged 55 to 64 who plan to retire early have higher salaries
Xr12-96* In Exercise 12.96, the statistics practitioner also recorded the gender of the respondents where 1 female and 2 male. Can we infer that men and women differ in their choices of Christmas trees?
GSS2008* Is there sufficient evidence to conclude that people who work for the government (WRKGOVT:1 Government, 2 Private) work fewer hours (HRS)?For each of the following variables, conduct a test to determine whether Democrats and Republicans(PARTY 1 Democrat, 3 Republican) differ in
GSS2008* Correct answers to ODDS1: A doctor tells a couple that there is one chance in four that their child will have an inherited disease. Does this mean that if the first child has the illness, the next three will not? 1 Yes, 2 No. Correct answer: No.
GSS2008* Correct answers to ODDS2: A doctor tells a couple that there is one chance in four that their child will have an inherited disease. Does this mean that each of the couple’s children will have the same risk of suffering the illness? 1 Yes, 2 No.Correct answer: Yes.
GSS2008* Correct answers to HOTCORE: The center of the earth is very hot. 1 True, 2 False.Correct answer: True.
GSS2008* Correct answers to EARTHSUN: Does Earth go around the Sun or does the Sun go around Earth? 1 Earth around Sun, 2 Sun around Earth. Correct answer: Earth around Sun.
GSS2008* Estimate with 95% confidence Americans mean position on the following question: Should government reduce income differences between rich and poor (EQWLTH: 1 government should reduce differences, 2, 3, 4, 5, 6, 7 No government action)?.
Estimate with 95% confidence the mean number of years with current employer (CUREMPYR).A13.25 Estimate with 90% confidence the proportion of Americans whose income is at least $75,000(INCOME06).
GSS2006* GSS2008* Can we infer from the data that the proportion of Americans earning at least$75,000 is greater in 2008 than in 2006(INCOME06)?
ANES2008* Conduct a test to determine whether Democrats and Republicans (PARTY: 1 Democrat and 2 Republican) differ in their intention to vote (DEFINITE: 1 Definitely will not vote, 2, 3, 4, 5, 6, 7, 8 9, 10 Definitely will vote).
In Exercises 11.7–11.12, calculate the value of the test statistic, set up the rejection region, determine the p-value, interpret the result, and draw the sampling distribution.
In Exercises 11.7–11.12, calculate the value of the test statistic, set up the rejection region, determine the p-value, interpret the result, and draw the sampling distribution.
In Exercises 11.7–11.12, calculate the value of the test statistic, set up the rejection region, determine the p-value, interpret the result, and draw the sampling distribution.
In Exercises 11.7–11.12, calculate the value of the test statistic, set up the rejection region, determine the p-value, interpret the result, and draw the sampling distribution.
In Exercises 11.7–11.12, calculate the value of the test statistic, set up the rejection region, determine the p-value, interpret the result, and draw the sampling distribution.
How do point estimators and interval estimators differ? LO-1
Define unbiasedness. LO-1
Draw a sampling distribution of an unbiased estimator. LO-1
Draw a sampling distribution of a biased estimator. LO-1
Define consistency. LO-1
Define relative efficiency. LO-1
Draw a diagram that shows the sampling distribution representing two unbiased estimators, one of which is relatively efficient. LO-1
Is the sample median an unbiased estimator of the population mean? Explain. LO-1
a. Given the following information, determine the 90% confidence interval estimate of the population mean using the sample median.b. Compare your answer in part (a) to that produced in part (c) of Exercise 10.12. Why is the confidence interval estimate based on the sample median wider than that
Xr10-24 Among the most exciting aspects of a university professor’s life are the departmental meetings where such critical issues as the color of the walls will be painted and who gets a new desk are decided.A sample of 20 professors was asked how many hours per year are devoted to these
Xr10-25 The number of cars sold annually by used car salespeople is normally distributed with a standard deviation of 15. A random sample of 15 salespeople was taken, and the number of cars each sold is listed here. Find the 95% confidence interval estimate of the population mean. Interpret the
Xr10-26 It is known that the amount of time needed to change the oil on a car is normally distributed with a standard deviation of 5 minutes. The amount of time to complete a random sample of 10 oil changes was recorded and listed here. Compute the 99% confidence interval estimate of the mean of
Xr10-28 One of the few negative side effects of quitting smoking is weight gain. Suppose that the weight gain in the 12 months following a cessation in smoking is normally distributed with a standard deviation of 6 pounds. To estimate the mean weight gain, a random sample of 13 quitters was drawn;
Xr10-29 Because of different sales ability, experience, and devotion, the incomes of real estate agents vary considerably. Suppose that in a large city the annual income is normally distributed with a standard deviation of $15,000. A random sample of 16 real estate agents was asked to report their
Xr10-31 In a survey conducted to determine, among other things, the cost of vacations, 64 individuals were randomly sampled. Each person was asked to compute the cost of her or his most recent vacation. Assuming that the standard deviation is $400, estimate with 95%confidence the average cost of
It is the responsibility of the federal government to judge the safety and effectiveness of new drugs.There are two possible decisions: approve the drug or disapprove the drug.
You are contemplating a Ph.D. in business or economics.If you succeed, a life of fame, fortune, and happiness awaits you. If you fail, you’ve wasted 5 years of your life. Should you go for it?
You are the centerfielder of the New York Yankees.It is the bottom of the ninth inning of the seventh game of the World Series. The Yanks lead by 2 with 2 outs and men on second and third. The batter is known to hit for high average and runs very well but only has mediocre power. A single will tie
You are the pilot of a jumbo jet. You smell smoke in the cockpit. The nearest airport is less than 5 minutes away. Should you land the plane immediately?
In Exercises 11.7–11.12, calculate the value of the test statistic, set up the rejection region, determine the p-value, interpret the result, and draw the sampling distribution.
a. Compute the p-value in order to test the following hypotheses given that , and .b. Repeat part (a) with n 25.c. Repeat part (a) with n 100.d. Describe what happens to the value of the test statistic and its p-value when the sample size increases.
a. A statistics practitioner formulated the following hypotheses.and learned that x = 190, n = 9, and s = 50 Compute the p-value of the test.b. Repeat part (a) with 30.c. Repeat part (a) with 10d. Discuss what happens to the value of the test statistic and its p-value when the standard
a. Given the following hypotheses, determine the p-value when , and .b. Repeat part (a) with .c. Repeat part (a) with .d. Describe what happens to the value of the test statistic and its p-value when the value of increases.
a. Test these hypotheses by calculating the p-value given that andb. Repeat part (a) with n 50.c. Repeat part (a) with n 20.d. What is the effect on the value of the test statistic and the p-value of the test when the sample size decreases?
a. Find the p-value of the following test given that and .b. Repeat part (a) with 50.c. Repeat part (a) with 100.d. Describe what happens to the value of the test statistic and its p-value when the standard deviation increases.
a. Calculate the p-value of the test described here.b. Repeat part (a) with 68.c. Repeat part (a) with 64.d. Describe the effect on the test statistic and the p-value of the test when the value of decreases.
Redo Example 11.1 with xx x x = 72, n = 25, s = 20 H1: m 7 60 H0: m = 60 H1: m 6 1000 H0: m = 1000 x = 990, n = 100, s = 25 H1: m Z 100 H0: m = 100 x = 99, n = 100, s = 8 xx = 23 x = 22 H1: m Z 20 H0: m = 20 x = 21, n = 25 s = 5a. 35b. 100c. Describe the effect on the test statistic and the
Perform a what-if analysis to calculate the p-values in Table 11.2.
For the SSA example, create a table that shows the effect on the test statistic and the p-value of decreasing the value of the sample mean. Use , 21.8, 21.6, 21.4, 21.2, 21.0, 20.8, 20.6, and 20.4.
Refer to Example 11.2. Create a table that shows the effect on the test statistic and the p-value of changing the value of the sample mean. Use , 15.5, 16.0, 16.5, 17.0, 17.5, 18.0, 18.5, and 19.0
Xr11-28 A business student claims that, on average, an MBA student is required to prepare more than five cases per week. To examine the claim, a statistics professor asks a random sample of 10 MBA students to report the number of cases they prepare weekly.The results are exhibited here. Can the
Xr11-29 A random sample of 18 young adult men(20–30 years old) was sampled. Each person was asked how many minutes of sports he watched on television daily. The responses are listed here. It is known that 10. Test to determine at the 5% significance level whether there is enough statistical
Xr11-30 The club professional at a difficult public course boasts that his course is so tough that the average golfer loses a dozen or more golf balls during a round of golf. A dubious golfer sets out to show that the pro is fibbing. He asks a random sample of 15 golfers who just completed their
Xr11-31 A random sample of 12 second-year university students enrolled in a business statistics course was drawn. At the course’s completion, each student was asked how many hours he or she spent doing homework in statistics. The data are listed here. It is known that the population standard
Xr11-32 The owner of a public golf course is concerned about slow play, which clogs the course and results in selling fewer rounds. She believes the problem lies in the amount of time taken to sink putts on the green. To investigate the problem, she randomly samples 10 foursomes and measures the
Xr11-33 A machine that produces ball bearings is set so that the average diameter is .50 inch. A sample of 10 ball bearings was measured, with the results shown here. Assuming that the standard deviation is.05 inch, can we conclude at the 5% significance level that the mean diameter is not .50
Xr11-34 Spam e-mail has become a serious and costly nuisance. An office manager believes that the average amount of time spent by office workers reading and deleting spam exceeds 25 minutes per day.To test this belief, he takes a random sample of 18 workers and measures the amount of time each
Calculate the probability of a Type II error for the following test of hypothesis, given that 203.
Find the probability of a Type II error for the following test of hypothesis, given that 1,050.
Determine for the following test of hypothesis, given that 48.a = .05, s = 10, n = 40 H1: m 6 50 H0: m = 50 a = .01, s = 50, n = 25 H1: m 7 1,000 H0: m = 1,000 a = .05, s = 10, n = 100 H1: m Z 200 H0: m = 200
For each of Exercises 11.48–11.50, draw the sampling distributions similar to Figure 11.9.
A statistics practitioner wants to test the following hypotheses with 20 and n 100:a. Using .10 find the probability of a Type II error when 102.b. Repeat part (a) with .02.c. Describe the effect on of decreasing
a. Calculate the probability of a Type II error for the following hypotheses when 37:The significance level is 5%, the population standard deviation is 5, and the sample size is 25.b. Repeat part (a) with 15%.c. Describe the effect on of increasing .
a. Find the probability of a Type II error for the following test of hypothesis, given that 196:The significance level is 10%, the population standard deviation is 30, and the sample size is 25.b. Repeat part (a) with n 100.c. Describe the effect on of increasing n.
a. Determine for the following test of hypothesis, given that 310:The statistics practitioner knows that the population standard deviation is 50, the significance level is 5%, and the sample size is 81.b. Repeat part (a) with n 36.c. Describe the effect on of decreasing n.
For the test of hypothesis draw the operating characteristic curve for n 25, 100, and 200.
Draw the operating characteristic curve for n 10, 50, and 100 for the following test:
In Exercise 11.39, we tested to determine whether the installation of safety equipment was effective in a = .05, s = 50 H1: m 7 400 H0: m = 400 a = .05, s = 200 H1: m Z 1,000 H0: m = 1,000 H1: m 7 300 H0: m = 300 H1: m 6 200 H0: m = 200 reducing person-hours lost to industrial accidents.The null
Let X represent the result of the toss of a fair die.Find the following probabilities.a.b.
Let represent the mean of the toss of two fair dice.Use the probabilities listed in Table 9.2 to determine the following probabilities.a.b.
An experiment consists of tossing five balanced dice.Find the following probabilities. (Determine the exact probabilities as we did in Tables 9.1 and 9.2 for two dice.)a.b.
Refer to Exercises 9.1 to 9.3 . What do the probabilities tell you about the variances of X and ?
Refer to Exercise 9.5. Suppose that the population is not normally distributed. Does this change your answer? Explain.
A sample of n 16 observations is drawn from a normal population with 1,000 and 200.Find the following.a.b.c.
Repeat Exercise 9.7 with n 25.P(X 7 1,100)P(X 6 960)P(X 7 1,050)X P(X = 6)P(X = 1)P(X = 6)P(X = 1)X P(X = 6)P(X = 1)
Repeat Exercise 9.7 with n 100.
Given a normal population whose mean is 50 and whose standard deviation is 5, find the probability that a random sample ofa. 4 has a mean between 49 and 52.b. 16 has a mean between 49 and 52.c. 25 has a mean between 49 and 52.
Repeat Exercise 9.10 for a standard deviation of 10.
Repeat Exercise 9.10 for a standard deviation of 20.
Refer to Exercise 9.15. If the population of women’s heights is not normally distributed, which, if any, of the questions can you answer? Explain.
The sign on the elevator in the Peters Building, which houses the School of Business and Economics at Wilfrid Laurier University, states, “Maximum Capacity 1,140 kilograms (2,500 pounds) or 16 Persons.” A professor of statistics wonders what the probability is that 16 persons would weigh more
Refer to Exercise 9.24 . Suppose that the professor discovers that the weights of people who use the elevator are normally distributed with an average of 75 kilograms and a standard deviation of 10 kilograms.Calculate the probability that the professor seeks.
The restaurant in a large commercial building provides coffee for the building’s occupants. The restaurateur has determined that the mean number of cups of coffee consumed in a day by all the occupants is 2.0 with a standard deviation of .6. A new tenant of the building intends to have a total of
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