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essentials of statistics

Questions and Answers of Essentials Of Statistics

50. The data in the following table show the number of shares selling (millions) and the expected price (average of projected low price and projected high price) for 10 selected initial public stock
49. American Depository Receipts (ADRs) are certificates traded on the NYSE representing shares of a foreign company held on deposit in a bank in its home country. The following table shows the
48. Refer to exercise 9, where an estimated regression equation relating years of experience and annual sales was developed.a. Compute the residuals and construct a residual plot for this problem.b.
47. Data on advertising expenditures and revenue (in thousands of dollars) for the Four Seasons Restaurant follow.a. Let x equal advertising expenditures and y equal revenue. Use the method of least
46. The following data were used in a regression studya. Develop an estimated regression equation for these data.b. Construct a plot of the residuals. Do the assumptions about the error term seem to
45. Given are data for two variables, x and y.xi 6 11 15 18 20 yi 6 8 12 20 30a. Develop an estimated regression equation for these data.b. Compute the residuals.c. Develop a plot of the residuals
44. Cushman & Wakefield, Inc., collects data showing the office building vacancy rates and rental rates for markets in the United States. The following data show the overall vacancy rates (%) and the
43. Health experts recommend that runners drink 4 ounces of water every 15 minutes they run.Although handheld bottles work well for many types of runs, all-day cross-country runs require hip-mounted
42. A regression model relating x, number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars) provided the following computer output from a regression
41. Following is a portion of the computer output for a regression analysis relating y maintenance expense (dollars per month) to x usage (hours per week) of a particular brand of computer
40. The commercial division of a real estate firm is conducting a regression analysis of the relationship between x, annual gross rents (in thousands of dollars), and y, selling price (in thousands
39. Almost all U.S. light-rail systems use electric cars that run on tracks built at street level.The Federal Transit Administration claims light-rail is one of the safest modes of travel, with an
38. Refer to Exercise 21, where data on the production volume x and total cost y for a particular manufacturing operation were used to develop the estimated regression equation 1246.67 7.6x.a. The
37. In exercise 13, data were given on the adjusted gross income x and the amount of itemized deductions taken by taxpayers. Data were reported in thousands of dollars. With the estimated regression
36. In exercise 10, data on x temperature rating (F) and y price ($) for 11 sleeping bags manufactured by Bergans of Norway provided the estimated regression equation 359.2668 5.2772x. For
35. In exercise 18, the data on grade point average x and monthly salary y provided the estimated regression equation 1790.5 581.1x.a. Develop a 95% confidence interval for the mean starting
34. The data from exercise 3 follow.xi 2 6 9 13 20 yi 7 18 9 26 23 Develop the 95% confidence and prediction intervals when x 12. Explain why these two intervals are different.
33. The data from exercise 2 follow.xi 3 12 6 20 14 yi 55 40 55 10 15a. Estimate the standard deviation of when x 8.b. Develop a 95% confidence interval for the expected value of y when x 8.c.
32. The data from exercise 1 follow.xi 123 4 5 yi 3 7 5 11 14a. Use equation (12.23) to estimate the standard deviation of when x 4.b. Use expression (12.24) to develop a 95% confidence interval
31. In exercise 20, data on x price ($) and y overall score for ten 42-inch plasma televisions tested by Consumer Reports provided the estimated regression equation 12.0169 .0127x. For these
30. Refer to exercise 22, where the following data were used to determine whether the price of a printer is related to the speed for plain text printing (PC World, February 2003).
29. Refer to exercise 21, where data on production volume and cost were used to develop an estimated regression equation relating production volume and cost for a particular manufacturing operation.
28. In exercise 10, data on x temperature rating (F) and y price ($) for 11 sleeping bags manufactured by Bergans of Norway provided the estimated regression equation 359.2668 5.2772x. At the
27. Outside Magazine tested 10 different models of day hikers and backpacking boots. The following data show the upper support and price for each model tested. Upper support was measured using a
26. In exercise 18 the data on grade point average and monthly salary were as follows.a. Does the t test indicate a significant relationship between grade point average and monthly salary? What is
25. The data from exercise 3 follow.xi 2 6 9 13 20 yi 7 18 9 26 23a. What is the value of the standard error of the estimate?b. Test for a significant relationship by using the t test. Use α
24. The data from exercise 2 follow.xi 3 12 6 20 14 yi 55 40 55 10 15a. Compute the mean square error using equation (12.15).b. Compute the standard error of the estimate using equation (12.16).c.
23. The data from exercise 1 follow.xi 123 4 5 yi 3 7 5 11 14a. Compute the mean square error using equation (12.15).b. Compute the standard error of the estimate using equation (12.16).c. Compute
22. PC World provided ratings for the top five small-office laser printers and five corporate laser printers (PC World, February 2003). The highest rated small-office laser printer was the
21. An important application of regression analysis in accounting is in the estimation of cost.By collecting data on volume and cost and using the least squares method to develop an estimated
20. Consumer Reports provided extensive testing and ratings for more than 100 HDTVs. An overall score, based primarily on picture quality, was developed for each model. In general, a higher overall
19. The data from exercise 7 follow.The estimated regression equation for these data is 40,639 1301.2x. What percentage of the total sum of squares can be accounted for by the estimated regression
18. The following data are the monthly salaries y and the grade point averages x for students who obtained a bachelor’s degree in business administration with a major in information systems. The
16. The data from exercise 2 follow.xi 3 12 6 20 14 yi 55 40 55 10 15 The estimated regression equation for these data is 68 3x.a. Compute SSE, SST, and SSR.b. Compute the coefficient of
15. The data from exercise 1 follow.xi 123 4 5 yi 3 7 5 11 14 The estimated regression equation for these data is .20 2.60x.a. Compute SSE, SST, and SSR using equations (12.8), (12.9), and
14. Starting salaries for accountants and auditors in Rochester, New York, trail those of many U.S. cities. The following data show the starting salary (in thousands of dollars) and the cost of
13. To the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions,
12. A personal watercraft (PWC) is a vessel propelled by water jets, designed to be operated by a person sitting, standing, or kneeling on the vessel. In the early 1970s, Kawasaki Motors Corp. U.S.A.
11. Although delays at major airports are now less frequent, it helps to know which airports are likely to throw off your schedule. In addition, if your plane is late arriving at a particular airport
10. Bergans of Norway has been making outdoor gear since 1908. The following data show the temperature rating (F°) and the price ($) for 11 models of sleeping bags produced by Bergans(Backpacker
9. A sales manager collected the following data on annual sales and years of experience.a. Develop a scatter diagram for these data with years of experience as the independent variable.b. Develop an
8. According to Advertising Age’s annual salary review, Mark Hurd, the 49-year-old chairman, president, and CEO of Hewlett-Packard Co., received an annual salary of $817,000, a bonus of more than
7. Would you expect more reliable cars to cost more? Consumer Reports rated 15 upscale sedans. Reliability was rated on a 5-point scale: poor (1), fair (2), good (3), very good (4), and excellent
6. The following data show the annual advertising expenditure in millions of dollars and the market share for six automobile companies (Advertising Age, June 23, 2006).a. Develop a scatter diagram
5. Technological advances helped make inflatable paddlecraft suitable for backcountry use.These blow-up rubber boats, which can be rolled into a bundle not much bigger than a golf bag, are large
4. The following data give the percentage of women working in five companies in the retail and trade industry. The percentage of management jobs held by women in each company is also shown.% Working
3. Given are five observations collected in a regression study on two variables.xi 2 6 9 13 20 yi 7 18 9 26 23a. Develop a scatter diagram for these data.b. Develop the estimated regression equation
2. Given are five observations for two variables, x and y.xi 3 12 6 20 14 yi 55 40 55 10 15a. Develop a scatter diagram for these data.b. What does the scatter diagram developed in part (a) indicate
1. Given are five observations for two variables, x and y.xi 123 4 5 yi 3 7 5 11 14a. Develop a scatter diagram for these data.b. What does the scatter diagram developed in part (a) indicate about
45. A salesperson makes four calls per day. A sample of 100 days gives the following frequencies of sales volumes.Records show sales are made to 30% of all sales calls. Assuming independent sales
44. The office occupancy rates were reported for four California metropolitan areas. Do the following data suggest that the office vacancies were independent of metropolitan area?Use a .05 level of
43. Barna Research Group collected data showing church attendance by age group (USA Today, November 20, 2003). Use the sample data to determine whether attending church is independent of age. Use a
42. Data on the marital status of men and women ages 20 to 29 were obtained as part of a national survey. The results from a sample of 350 men and 400 women follow.a. Use α .01 and test for
41. A lending institution supplied the following data on loan approvals by four loan officers.Use α .05 and test to determine whether the loan approval decision is independent of the loan officer
40. The Wall Street Journal Subscriber Study showed data on the employment status of subscribers. Sample results corresponding to subscribers of the eastern and western editions are shown here.Use α
39. A sample of parts provided the following contingency table data on part quality by production shift.Use α .05 and test the hypothesis that part quality is independent of the production
38. The results of Computerworld’s Annual Job Satisfaction Survey showed that 28% of information systems (IS) managers are very satisfied with their job, 46% are somewhat satisfied, 12% are neither
37. A regional transit authority is concerned about the number of riders on one of its bus routes.In setting up the route, the assumption is that the number of riders is the same on every day from
36. Since 2000, the Toyota Camry, Honda Accord, and Ford Taurus have been the three bestselling passenger cars in the United States. Sales data for 2003 indicated market shares among the top three as
35. Seven percent of mutual fund investors rate corporate stocks “very safe,” 58% rate them“somewhat safe,” 24% rate them “not very safe,” 4% rate them “not at all safe,” and 7%are
34. In setting sales quotas, the marketing manager makes the assumption that order potentials are the same for each of four sales territories. A sample of 200 sales follows. Should the manager’s
33. In June 2001, 38% of fund managers surveyed believed that the core inflation rate would be higher in one year. One month later a similar survey revealed that 22% of fund managers expected the
32. In July 2001, the Harris Ad Track Research Service conducted a survey to evaluate the effectiveness of a major advertising campaign for Kodak cameras (USA Today, August 27, 2001). In a sample of
31. Medical tests were conducted to learn about drug-resistant tuberculosis. Of 142 cases tested in New Jersey, 9 were found to be drug-resistant. Of 268 cases tested in Texas, 5 were found to be
30. A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period.a. Use α
29. Jupiter Media used a survey to determine how people use their free time. Watching television was the most popular activity selected by both men and women (The Wall Street Journal, January 26,
28. Samples taken in three cities,Anchorage,Atlanta, and Minneapolis, were used to learn about the percentage of married couples with both the husband and the wife in the workforce(USA Today,January
27. The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on
26. Businesses are increasingly placing orders online. The Performance Measurement Group collected data on the rates of correctly filled electronic orders by industry (Investor’s Business Daily,
25. FlightStats, Inc., collects data on the number of flights scheduled and the number of flights flown at major airports throughout the United States. FlightStats data showed 56% of flights
24. A State of Washington’s Public Interest Research Group (PIRG) study showed that 46%of full-time college students work 25 or more hours per week. The PIRG study provided data on the effects of
23. With double-digit annual percentage increases in the cost of health insurance, more and more workers are likely to lack health insurance coverage (USA Today, January 23, 2004).The following
22. Visa Card USA studied how frequently consumers of various age groups use plastic cards(debit and credit cards) when making purchases (Associated Press, January 16, 2006).Sample data for 300
21. One of the questions on the BusinessWeek Subscriber Study was, “In the past 12 months, when traveling for business, what type of airline ticket did you purchase most often?” The data obtained
20. The following 3 3 contingency table contains observed frequencies for a sample of 240.Test for independence of the row and column variables using the 2 test with α .05.
19. The following 2 3 contingency table contains observed frequencies for a sample of 200.Test for independence of the row and column variables using the 2 test with α .05.
18. How well do airline companies serve their customers? A study showed the following customer ratings: 3% excellent, 28% good, 45% fair, and 24% poor (BusinessWeek, September 11, 2000). In a
17. The Wall Street Journal’s Shareholder Scoreboard tracks the performance of 1000 major U.S. companies (The Wall Street Journal, March 10, 2003). The performance of each company is rated based on
16. The American Bankers Association collects data on the use of credit cards, debit cards, personal checks, and cash when consumers pay for in-store purchases (The Wall Street Journal, December 16,
15. Where do women most often buy casual clothing? Data from the U.S. Shopper Database provided the following percentages for women shopping at each of the various outlets (The Wall Street Journal,
14. M&M/MARS, makers of M&M® Chocolate Candies, conducted a national poll in which more than 10 million people indicated their preference for a new color. The tally of this poll resulted in the
13. During the first 13 weeks of the television season, the Saturday evening 8:00 p.m. to 9:00 p.m. audience proportions were recorded as ABC 29%, CBS 28%, NBC 25%, and independents 18%. A sample of
12. Suppose we have a multinomial population with four categories: A, B, C, and D. The null hypothesis is that the proportion of items is the same in every category. The null hypothesis is A sample
11. Test the following hypotheses by using the 2 goodness of fit test.A sample of size 200 yielded 60 in category A, 120 in category B, and 20 in category C.Use α .01 and test to see whether the
10. During the 2003 Super Bowl, Miller Lite Beer’s commercial referred to as “The Miller Lite Girls” ranked among the top three most effective advertisements aired during the Super Bowl (USA
9. A 2003 New York Times/CBS News poll sampled 523 adults who were planning a vacation during the next six months and found that 141 were expecting to travel by airplane (New York Times News Service,
8. Chicago O’Hare and Atlanta Hartsfield-Jackson are the two busiest airports in the United States. The congestion often leads to delayed flight arrivals as well as delayed flight departures. The
7. Slot machines are the favorite game at casinos throughout the United States (Harrah’s Survey 2002: Profile of the American Gambler). The following sample data show the number of women and number
6. An American Automobile Association (AAA) study investigated the question of whether a man or a woman was more likely to stop and ask for directions (AAA, January 2006). The situation referred to
5. In recent years, the number of people who use the Internet to obtain political news has grown. Often the political Web sites ask Internet users to register their opinions by participating in
4. The Professional Golf Association (PGA) measured the putting accuracy of professional golfers playing on the PGA Tour and the best amateur golfers playing in the World Amateur Championship (Golf
3. Consider the hypothesis test The following results are for independent samples taken from the two populations?
2. Consider the following hypothesis test.H0: p1 p2 0 Ha: p1 p2 0 The following results are for independent samples taken from the two populations.
1. Consider the following results for independent samples taken from two populations.z (p¯1 p¯2)p¯(1 p¯)1 n11 n2 (.14 .09).1127(1 .1127)1 2501 300 1.85 p¯ n1 p¯1 n2 p¯2 n1 n2
49. In a study conducted to investigate browsing activity by shoppers, each shopper was initially classified as a nonbrowser, light browser, or heavy browser. For each shopper, the study obtained a
48. Three different assembly methods have been proposed for a new product. A completely randomized experimental design was chosen to determine which assembly method results in the greatest number of
47. Business 2.0’s first annual employment survey provided data showing the typical annual salary for 97 different jobs. The following data show the annual salary for 30 different jobs
46. Money magazine reports percentage returns and expense ratios for stock and bond funds.The following data are the expense ratios for 10 midcap stock funds, 10 small-cap stock funds, 10 hybrid
45. A study reported in the Journal of Small Business Management concluded that selfemployed individuals do not experience higher job satisfaction than individuals who are not self-employed. In this
44. Typical prices of single-family homes in the state of Florida are shown for a sample of 15 metropolitan areas (Naples Daily News, February 23, 2003). Data are in thousands of dollars.a. Use a

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