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essentials of statistics

Questions and Answers of Essentials Of Statistics

43. The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on cost in thousands of dollars for two types of remodeling projects
42. Mutual funds are classified as load or no-load funds. Load funds require an investor to pay an initial fee based on a percentage of the amount invested in the fund. The no-load funds do not
41. Three-megapixel digital cameras are typically the lightest, most compact, and easiest to use. However, if you plan to enlarge or crop images, you will probably want to spend more for a
40. Safegate Foods, Inc., is redesigning the checkout lanes in its supermarkets throughout the country and is considering two designs. Tests on customer checkout times conducted at two stores where
39. How much is the cost of a hospital stay increasing? The mean cost of one day in a semiprivate room was reported to be $4848 in 2005 and $5260 in 2006 (The Wall Street Journal, January 2, 2007).
38. Awell-known automotive magazine took three top-of-the-line midsize automobiles manufactured in the United States, test-drove them, and compared them on a variety of criteria.In the area of
37. Four different paints are advertised as having the same drying time. To check the manufacturer’s claims, five samples were tested for each of the paints. The time in minutes until the paint was
36. Auditors must make judgments about various aspects of an audit on the basis of their own direct experience, indirect experience, or a combination of the two. In a study, auditors were asked to
35. To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow. Construct an analysis of variance table. Use
34. Refer to the NCP data in Table 10.6. Set up the ANOVA table and test for any significant difference in the mean examination score for the three plants. Use α .05.
33. Three different methods for assembling a product were proposed by an industrial engineer.To investigate the number of units assembled correctly with each method, 30 employees were randomly
32. Develop the analysis of variance computations for the following completely randomized design. At α .05, is there a significant difference between the treatment means?
31. In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of
30. In an experiment designed to test the output levels of three different treatments, the following results were obtained: SST 400, SSTR 150, nT 19. Set up the ANOVA table and test for any
29. Refer to exercise 28.a. What hypotheses are implied in this problem?b. At the α .05 level of significance, can we reject the null hypothesis in part (a)? Explain.
28. In a completely randomized design, seven experimental units were used for each of the five levels of the factor. Complete the following ANOVA table.Source Sum Degrees Mean of Variation of Squares
27. The following data are from a completely randomized design.10.5 Analysis of Variance and the Completely Randomized Design 413 Exercise 34 will ask you to analyze the NCP data using the analysis
26. StreetInsider.com reported 2002 earnings per share data for a sample of major companies(February 12, 2003). Prior to 2002, financial analysts predicted the 2002 earnings per share for these same
25. In recent years, a growing array of entertainment options competes for consumer time. By 2004, cable television and radio surpassed broadcast television, recorded music, and the daily newspaper
24. Airline travelers often choose which airport to fly from based on flight cost. Cost data (in dollars) for a sample of flights to eight cities from Dayton, Ohio, and Louisville, Kentucky, were
23. Bank of America’s Consumer Spending Survey collected data on annual credit card charges in seven different categories of expenditures: transportation, groceries, dining out, household expenses,
22. Per-share earnings data comparing the current quarter’s earnings with the previous quarter are in the CD file entitled Earnings2005 (The Wall Street Journal, January 27, 2006).Provide a 95%
21. A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The
20. The following data are from matched samples taken from two populations.a. Compute the difference value for each element.b. Compute .c. Compute the standard deviation sd.d. What is the point
19. Consider the following hypothesis test.The following data are from matched samples taken from two populations?
18. Educational testing companies provide tutoring, classroom learning, and practice tests in an effort to help students perform better on tests such as the Scholastic Aptitude Test (SAT). The test
17. Periodically, Merrill Lynch customers are asked to evaluate Merrill Lynch financial consultants and services (2000 Merrill Lynch Client Satisfaction Survey). Higher ratings on the client
16. The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker’s parents. A research hypothesis was that
15. Injuries to Major League Baseball players have been increasing in recent years. For the period 1992 to 2001, league expansion caused Major League Baseball rosters to increase 15%.However, the
14. Are nursing salaries in Tampa, Florida, lower than those in Dallas, Texas? Salary.com provided salary data showing staff nurses in Tampa earn less than staff nurses in Dallas(The Tampa Tribune,
13. FedEx and United Parcel Service (UPS) are the world’s two leading cargo carriers by volume and revenue (The Wall Street Journal,January 27, 2004). According to the Airports Council
12. The U.S. Department of Transportation provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car. Suppose that for a simple random sample of 50
11. Consider the following data for two independent random samples taken from two normal populations.Sample 1 10 7 13 7 9 8 Sample 2 87 8469a. Compute the two sample means.b. Compute the two sample
10. Consider the following hypothesis test.The following results are from independent samples taken from two populations.H0:Ha:μ1 μ2 0μ1 μ2 0a. What is the value of the test statistic?b. What
9. The following results are for independent random samples taken from two populations.a. What is the point estimate of the difference between the two population means?b. What is the degrees of
8. Arnold Palmer and Tiger Woods are two of the best golfers to ever play the game. To show how these two golfers would compare if both were playing at the top of their game, the following sample
7. During the 2003 season, Major League Baseball took steps to speed up the play of baseball games in order to maintain fan interest (CNN Headline News, September 30, 2003).The following results come
6. The nation’s 40,000 mortgage brokerages are some of the most profitable small businesses in the United States. These low-profile companies find loans for customers in exchange for commissions.
5. The average expenditure on Valentine’s Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consumers differ in the amounts they spend?The average expenditure in a
4. Gasoline prices reached record high levels in 16 states during 2003 (The Wall Street Journal, March 7, 2003). Two of the affected states were California and Florida. The American Automobile
3. Consider the following hypothesis test.The following results are for two independent samples taken from the two populations.
2. Consider the following hypothesis test.The following results are for two independent samples taken from the two populations.
1. The following results come from two independent random samples taken of two populations.a. What is the point estimate of the difference between the two population means?b. Provide a 90% confidence
59. According to the federal government, 24% of workers covered by their company’s health care plan were not required to contribute to the premium (Statistical Abstract of the United States: 2006).
58. A radio station in Myrtle Beach announced that at least 90% of the hotels and motels would be full for the Memorial Day weekend. The station advised listeners to make reservations in advance if
57. During the 2004 election year, new polling results were reported daily. In an IBD/TIPP poll of 910 adults, 503 respondents reported that they were optimistic about the national outlook, and
56. Virtual call centers are staffed by individuals working out of their homes. Most home agents earn $10 to $15 per hour without benefits versus $7 to $9 per hour with benefits at a traditional call
55. An airline promotion to business travelers is based on the assumption that two-thirds of business travelers use a laptop computer on overnight business trips.a. State the hypotheses that can be
54. A study by the Centers for Disease Control (CDC) found that 23.3% of adults are smokers and that roughly 70% of those who do smoke indicate that they want to quit (Associated Press, July 26,
53. The U.S. Energy Administration reported that the mean price for a gallon of regular gasoline in the United States was $2.357 (U.S. Energy Administration, January 30, 2006). Data for a sample of
52. The chamber of commerce of a Florida Gulf Coast community advertises that area residential property is available at a mean cost of $125,000 or less per lot. Suppose a sample of 32 properties
51. An extensive study of the cost of health care in the United States presented data showing that the mean spending per Medicare enrollee in 2003 was $6883 (Money, Fall 2003). To investigate
50. The College Board reported that the average number of freshman class applications to public colleges and universities is 6000 (USA Today, December 26, 2002). During a recent
49. On Friday, Wall Street traders were anxiously awaiting the federal government’s release of numbers on the January increase in nonfarm payrolls. The early consensus estimate among economists was
48. Playbill is a magazine distributed around the country to people attending musicals and other theatrical productions. The mean annual household income for the population of Playbill readers is
47. At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation σ 180 is assumed known.Each year, the
46. A production line operates with a mean filling weight of 16 ounces per container. Overfilling or underfilling presents a serious problem and when detected requires the operator to shut down the
45. Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA)provides a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the
44. In a cover story, BusinessWeek published information about sleep habits of Americans(BusinessWeek, January 26, 2004). The article noted that sleep deprivation causes a number of problems,
43. Eagle Outfitters is a chain of stores specializing in outdoor apparel and camping gear. They are considering a promotion that involves mailing discount coupons to all their credit card customers.
42. According to the University of Nevada Center for Logistics Management, 6% of all merchandise sold in the United States gets returned (BusinessWeek, January 15, 2007). A Houston department store
41. Speaking to a group of analysts in January 2006, a brokerage firm executive claimed that at least 70% of investors are currently confident of meeting their investment objectives. A UBS Investor
40. Before the 2003 Super Bowl, ABC predicted that 22% of the Super Bowl audience would express an interest in seeing one of its forthcoming new television shows, including 8 Simple Rules, Are You
39. The National Center for Health Statistics released a report that stated 70% of adults do not exercise regularly (Associated Press, April 7, 2002). A researcher decided to conduct a study to see
38. A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own
37. A study found that, in 2005, 12.5% of U.S. workers belonged to unions (The Wall Street Journal, January 21, 2006). Suppose a sample of 400 U.S. workers is collected in 2006 to determine whether
36. Consider the following hypothesis test:A sample of 300 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use α .05.a. .68c. .70b.
35. Consider the following hypothesis test:A sample of 400 provided a sample proportion .175.a. Compute the value of the test statistic.b. What is the p-value?c. At α .05, what is your
34. Joan’s Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings
33. Annual per capita consumption of milk is 21.6 gallons (Statistical Abstract of the United States: 2006). Being from the Midwest, you believe milk consumption is higher there and wish to support
32. According to the National Automobile Dealers Association, the mean price for used cars is $10,192. A manager of a Kansas City used car dealership reviewed a sample of 50 recent used car sales at
31. Raftelis Financial Consulting reported that the mean quarterly water bill in the United States is $47.50 (U.S. News & World Report, August 12, 2002). Some water systems are operated by public
30. AOL Time Warner Inc.’s CNN has been the longtime ratings leader of cable television news. Nielsen Media Research indicated that the mean CNN viewing audience was 600,000 viewers per day during
29. The cost of a one-carat VS2 clarity, H color diamond from Diamond Source USA is $5600(http://www.diasource.com, March 2003). A midwestern jeweler makes calls to contacts in the diamond district
28. A shareholders’ group, in lodging a protest, claimed that the mean tenure for a chief executive officer (CEO) was at least nine years. A survey of companies reported in The Wall Street Journal
27. The Employment and Training Administration reported the U.S. mean unemployment insurance benefit of $238 per week (The World Almanac, 2003). A researcher in the state of Virginia anticipated that
26. Consider the following hypothesis test:A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α .05.a. 103 and s 11.5b. 96.5
25. Consider the following hypothesis test:A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α .01.a. 44 and s 5.2b. 43 and
24. Consider the following hypothesis test:A sample of 48 provided a sample mean 17 and a sample standard deviation s 4.5.a. Compute the value of the test statistic.b. Use the t distribution
23. Consider the following hypothesis test:A sample of 25 provided a sample mean 14 and a sample standard deviation s 4.32.a. Compute the value of the test statistic.b. Use the t distribution
22. CCN and ActMedia provided a television channel targeted to individuals waiting in supermarket checkout lines. The channel showed news, short features, and advertisements. The length of the
21. Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean time of 15 minutes or less. If a longer mean survey time is
19. In 2001, the U.S. Department of Labor reported the average hourly earnings for U.S. production workers to be $14.32 per hour (The World Almanac, 2003). A sample of 75 production workers during
18. The average annual total return for U.S. Diversified Equity mutual funds from 1999 to 2003 was 4.1% (BusinessWeek, January 26, 2004). A researcher would like to conduct a hypothesis test to see
17. Wall Street securities firms paid out record year-end bonuses of $125,500 per employee for 2005 (Fortune, February 6, 2006). Suppose we would like to take a sample of employees at the Jones &
16. Reis, Inc., a New York real estate research firm, tracks the cost of apartment rentals in the United States. In mid-2002, the nationwide mean apartment rental rate was $895 per month(The Wall
15. Individuals filing federal income tax returns prior to March 31 received an average refund of $1056. Consider the population of “last-minute” filers who mail their tax return during the last
14. Consider the following hypothesis test:H0:Ha:μ 22μ 22 A sample of 75 is used and the population standard deviation is 10. Compute the p-value and state your conclusion for each of the
13. Consider the following hypothesis test:A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample
12. Consider the following hypothesis test:A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results.
11. Consider the following hypothesis test:A sample of 50 provided a sample mean of 14.15. The population standard deviation is 3.a. Compute the value of the test statistic.b. What is the p-value?c.
10. Consider the following hypothesis test:A sample of 40 provided a sample mean of 26.4. The population standard deviation is 6.a. Compute the value of the test statistic.b. What is the p-value?c.
9. Consider the following hypothesis test:H0:Ha:μ 20μ 20 A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2.a. Compute the value of the test statistic.b. What
8. Suppose a new production method will be implemented if a hypothesis test supports the conclusion that the new method reduces the mean operating cost per hour.a. State the appropriate null and
7. Carpetland salespersons average $8000 per week in sales. Steve Contois, the firm’s vice president, proposes a compensation plan with new selling incentives. Steve hopes that the results of a
6. The label on a 3-quart container of orange juice claims that the orange juice contains an average of 1 gram of fat or less. Answer the following questions for a hypothesis test that could be used
5. Nielsen reported that young men in the United States watch 56.2 minutes of prime-time TV daily (The Wall Street Journal Europe, November 18, 2003). A researcher believes that young men in Germany
4. Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be
3. A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether
2. The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 14 automobiles per month. The manager wants to

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