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Statistics For Business And Economics 11th Edition David R. Anderson, Dennis J. Sweeney, Thomas A. Williams - Solutions

The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.3 and 5.4, respectively. Is this sample sufficient to conclude that the two production departments
Two new assembly methods are tested and the variances in assembly times are reported.Use Î± = .10 and test for equality of the two population variances.
The variance in drug weights is critical in the pharmaceutical industry. For a specific drug, with weights measured in grams, a sample of 18 units provided a sample variance of s2 = .36.a. Construct a 90% confidence interval estimate of the population variance for the weight of this drug.b.
The daily car rental rates for a sample of eight cities follow. City Daily Car Rental Rate ($)Atlanta ..............47Chicago .............50Dallas .............53New Orleans ..........45Phoenix ............40Pittsburgh ...........43San Francisco ...........39Seattle .............37a.
The Fidelity Growth & Income mutual fund received a three-star, or neutral, rating from Morningstar. Shown here are the quarterly percentage returns for the five-year period from 2001 to 2005 (Morningstar Funds 500, 2006).a. Compute the mean, variance, and standard deviation for the quarterly
To analyze the risk, or volatility, associated with investing in Chevron Corporation common stock, a sample of the monthly total percentage return for 12 months was taken. The returns for the 12 months of 2005 are shown here (Compustat, February 24, 2006). Total return is price appreciation plus
March 4, 2009, was one of the few good days for the stock market in early 2009. The Dow Jones Industrial Average went up 149.82 points (The Wall Street Journal, March 5, 2009). The following table shows the stock price changes for a sample of 12 companies on that day.a. Compute the sample variance
An automotive part must be machined to close tolerances to be acceptable to customers. Production specifications call for a maximum variance in the lengths of the parts of .0004. Suppose the sample variance for 30 parts turns out to be s2 = .0005. Use α = .05 to test whether the population
Test the following hypotheses by using the X2 goodness of fit test.A sample of size 200 yielded 60 in category A, 120 in category B, and 20 in category C.Use Î± = .01 and test to see whether the proportions are as stated in H0.a. Use the p-value approach.b. Repeat the test using the critical
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 are shown in the following contingency table.Use Î± = .05 and test for the independence of type of flight
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 customers shows the use of plastic cards by four age groups.a. Test for the independence between method of
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 sample data provide a comparison of workers with and without health insurance coverage for small, medium,
Consumer Reports measures owner satisfaction of various automobiles by asking the survey question, "Considering factors such as price, performance, reliability, comfort and enjoyment, would you purchase this automobile if you had it to do all over again?" (Consumer Reports website, January 2009).
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 scheduled at Newark, La Guardia, and Kennedy airports were flown during a three day snowstorm (The Wall Street
As the price of oil rises, there is increased worldwide interest in alternate sources of energy. A Financial Times/Harris Poll surveyed people in six countries to assess attitudes toward a variety of alternate forms of energy (Harris Interactive website, February 27, 2008). The data in the
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 weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older.a.
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 isH0: pA = pB = pC = pD = .25A sample of size 300 yielded the following results.A: 85 B: 95 C: 50 D: 70Use α = .05
Data on the number of occurrences per time period and observed frequencies follow. Use α = .05 and the goodness of fit test to see whether the data fit a Poisson distribution.Number of Occurrences Observed Frequency0 ...............391 ...............302 ...............303 ...............184
The following data are believed to have come from a normal distribution. Use the goodness of fit test and Î± = .05 to test this claim.
The number of automobile accidents per day in a particular city is believed to have a Poisson distribution. A sample of 80 days during the past year gives the following data. Do these data support the belief that the number of accidents per day has a Poisson distribution? Use α = .05.Number of
The number of incoming phone calls at a company switchboard during 1-minute intervals is believed to have a Poisson distribution. Use Î± = .10 and the following data to test the assumption that the incoming phone calls follow a Poisson distribution.
The weekly demand for a product is believed to be normally distributed. Use a goodness of fit test and the following data to test this assumption. Use Î± = .10. The sample mean is 24.5 and the sample standard deviation is 3.
Use Î± = .01 and conduct a goodness of fit test to see whether the following sample appears to have been selected from a normal distribution.After you complete the goodness of fit calculations, construct a histogram of the data. Does the histogram representation support the conclusion reached
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 assumption be rejected? Use Î± = .05.
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 "not sure." A BusinessWeek/Harris poll asked 529 mutual fund investors how they would rate corporate bonds on safety.
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 follows: Toyota Camry 37%, Honda Accord 34%, and Ford Taurus 29% (The World Almanac, 2004). Assume a
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 Monday through Friday. Using the following data, test with α = .05 to determine whether the transit
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 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience
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 satisfied nor dissatisfied, 10% are somewhat dissatisfied, and 4% are very dissatisfied. Suppose that a
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 .05 level of significance. What is your conclusion? What conclusion can you draw about church attendance
The following data were collected on the number of emergency ambulance calls for an urban county and a rural county in Virginia.Conduct a test for independence using Î± = .05. What is your conclusion?
A random sample of final examination grades for a college course follows.Use Î± = .05 and test to determine whether a normal distribution should be rejected as being representative of the population's distribution of grades.
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 calls, the number of sales per day should follow a binomial distribution. The binomial probability function
M&M/MARS, makers of 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 replacement of tan-colored M&Ms with a new blue color. In the brochure €œColors,€ made
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, January 28, 2004).The other category included outlets such as Target, Kmart, and Sears as well as
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, 2003). In 1999, the following usages were reported. In-Store Purchase PercentageCredit card
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 the annual total return, including stock price changes and the reinvestment of dividends. Ratings are
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 follow-up study of service by telephone companies, assume that a sample of 400 adults found the following
The following 2 x 3 contingency table contains observed frequencies for a sample of 200.Test for independence of the row and column variables using the x2 test with Î± = .05.
The following data are from a completely randomized design.a. Compute the sum of squares between treatments.b. Compute the mean square between treatments.c. Compute the sum of squares due to error.d. Compute the mean square due to error.e. Set up the ANOVA table for this problem.f. At the Î± =
The following data are from a completely randomized design.a. At the Î± = .05 level of significance, can we reject the null hypothesis that the means of the three treatments are equal?b. Use Fisher€™s LSD procedure to test whether there is a significant difference between the means for
The following data are from a completely randomized design. In the following calculations, use Î± = .05.a. Use analysis of variance to test for a significant difference among the means of the three treatments.b. Use Fisher€™s LSD procedure to determine which means are different.
To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material.a. Use these data to test whether the population mean times for
Refer to exercise 15. Use Fisher€™s LSD procedure to develop a 95% confidence interval estimate of the difference between the means for manufacturer 1 and manufacturer 2.In exercise 15
To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained.a. At the Î± = .05 level of significance, what is the difference, if any, in the population mean times among the four machines?b. Use Fisher€™s LSD procedure to
The International League of Triple-A minor league baseball consists of 14 teams organized into three divisions: North, South, and West. The following data show the average attendance for the 14 teams in the International League (The Biz of Baseball website, January 2009). Also shown are the teams'
Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table.Use Î± = .05 to test for any significant differences.
The following data were obtained for a randomized block design involving five treatments and three blocks: SST = 430, SSTR = 310, SSBL = 85. Set up the ANOVA table and test for any significant differences. Use α = .05.
An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table.Use Î± = .05 to test for any significant differences.
An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of
Prices for vitamins and other health supplements increased over the past several years, and the prices charged by different retail outlets often vary a great deal. The following data show the prices for 13 products at four retail outlets in Rochester, New York (Democrat and Chronicle, February 13,
The Scholastic Aptitude Test (SAT) contains three parts: critical reading, mathematics, and writing. Each part is scored on an 800-point scale. Information on test scores for the 2009 version of the SAT is available at the College Board website. A sample of SAT scores for six students follows.a.
A study reported in the Journal of the American Medical Association investigated the cardiac demands of heavy snow shoveling. Ten healthy men underwent exercise testing with a treadmill and a cycle ergometer modified for arm cranking. The men then cleared two tracts of heavy, wet snow by using a
A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data.Test for any significant main effects and any interaction. Use Î± .05.
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 280, SSA = 26, SSB = 23, SSAB = 175. Set up the ANOVA table and test for any significant main effects and any interaction effect. Use
A mail-order catalog firm designed a factorial experiment to test the effect of the size of a magazine advertisement and the advertisement design on the number of catalog requests received (data in thousands). Three advertising designs and two different size advertisements were considered. The data
An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the
As part of a study designed to compare hybrid and similarly equipped conventional vehicles, Consumer Reports tested a variety of classes of hybrid and all-gas model cars and sport utility vehicles (SUVs). The following data show the miles-per-gallon rating Consumer Reports obtained for two hybrid
A study reported in The Accounting Review examined the separate and joint effects of two levels of time pressure (low and moderate) and three levels of knowledge (naive, declarative, and procedural) on key word selection behavior in tax research. Subjects were given a tax case containing a set of
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 stock funds, and 10 specialty stock funds (Money, March 2003).Use Î± = .05 to test for any significant
A research firm tests the miles-per-gallon characteristics of three brands of gasoline. Because of different gasoline performance characteristics in different brands of automobiles, five brands of automobiles are selected and treated as blocks in the experiment; that is, each brand of automobile is
Wegmans Food Markets and Tops Friendly Markets are the major grocery chains in the Rochester, New York, area. When Wal-Mart opened a Supercenter in one of the Rochester suburbs, experts predicted that Wal-Mart would undersell both local stores. The Democrat and Chronicle obtained the price data in
A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized language translators. Because the type of language translated was also considered a significant factor, translations were made
A manufacturing company designed a factorial experiment to determine whether the number of defective parts produced by two machines differed and if the number of defective parts produced also depended on whether the raw material needed by each machine was loaded manually or by an automatic feed
Refer to the NCP data in Table 13.4. Set up the ANOVA table and test for any significant difference in the mean examination score for the three plants. Use Î± = .05.In Table 13.4
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 $5 million, and other compensation exceeding $17 million. His total compensation was slightly better than
Sporty cars are designed to provide better handling, acceleration, and a more responsive driving experience than a typical sedan. But, even within this select group of cars, performance as well as price can vary. Consumer Reports provided road-test scores and prices for the following 12 sporty cars
A personal watercraft (PWC) is a vessel propelled by water jets, designed to be operated by a person sitting, standing, or kneeling on the vessel. In the early 1970s, Kawasaki Motors Corp. U.S.A. introduced the JET SKI® watercraft, the first commercially successful PWC. Today, jet ski is commonly
To the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes.If a taxpayer claims larger than
Consumer Reports provided extensive testing and ratings for more than 100 HDTVs. An overall score, based primarily on picture quality, was developed for each model. In general, a higher overall score indicates better performance. The following data show the price and overall score for the ten
In exercise 18 the data on grade point average and monthly salary were as follows.a. Does the t test indicate a significant relationship between grade point average and monthly salary? What is your conclusion? Use Î± = .05.b. Test for a significant relationship using the F test. What is your
Outside Magazine tested 10 different models of day hikers and backpacking boots. The following data show the upper support and price for each model tested. Upper support was measured using a rating from 1 to 5, with a rating of 1 denoting average upper support and a rating of 5 denoting excellent
In exercise 8, data on x = temperature rating (F) and y = price ($) for 11 sleeping bags manufactured by Bergans of Norway provided the estimated regression equation = 359.2668 €“ 5.2772x. At the .05 level of significance, test whether temperature rating and price are related. Show the ANOVA
In exercise 20, data on x = price ($) and y = overall score for ten 42-inch plasma televisions tested by Consumer Reports provided the estimated regression equation yˆ =12.0169 =.0127x. For these data SSE = 540.04 and SST = 982.40. Use the F test to determine whether the price for a 42-inch plasma
In exercise 18, the data on grade point average x and monthly salary y provided the estimated regression equation y = 1790.5 + 581.1x.a. Develop a 95% confidence interval for the mean starting salary for all students with a 3.0 GPA.b. Develop a 95% prediction interval for the starting salary for
In exercise 8, data on x temperature rating (Fo) and y = price ($) for 11 sleeping bags manufactured by Bergans of Norway provided the estimated regression equation y = 359.2668 – 5.2772x. For these data s = 37.9372.a. Develop a point estimate of the price for a sleeping bag with a temperature
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 equation y = 4.68 + .16x, the point estimate of a reasonable level of total itemized deductions for a
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 accident rate of .99 accidents per million passenger miles as compared to 2.29 for buses. The following
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 of dollars) for apartment buildings. Data were collected on several properties recently sold and the
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 or over-the-shoulder hydration systems. In addition to carrying more water, hip-mounted or
Recent family home sales in San Antonio provided the following data (San Antonio Realty Watch website, November 2008).a. Develop the estimated regression equation that can be used to predict the sales prices given the square footage.b. Construct a residual plot of the standardized residuals against
Elliptical trainers are becoming one of the more popular exercise machines. Their smooth and steady low-impact motion makes them a preferred choice for individuals with knee and ankle problems. But selecting the right trainer can be a difficult process. Price and quality are two important factors
Consider the following data for two variables, x and y.a. Compute the standardized residuals for these data. Do the data include any outliers? Explain.b. Plot the standardized residuals against y-bar. Does this plot reveal any outliers?c. Develop a scatter diagram for these data. Does the scatter
Consider the following data for two variables, x and y.a. Compute the standardized residuals for these data. Do the data include any outliers? Explain.b. Compute the leverage values for these data. Do there appear to be any influential observations in these data? Explain.c. Develop a scatter
The following data show the media expenditures ($ millions) and the shipments in bbls. (millions) for 10 major brands of beer.a. Develop the estimated regression equation for these data.b. Use residual analysis to determine whether any outliers and/or influential observations are present. Briefly
Health experts recommend that runners drink 4 ounces of water every 15 minutes they run. Runners who run three to eight hours need a larger-capacity hip-mounted or over-the shoulder hydration system. The following data show the liquid volume (fl oz) and the price for 26 Ultimate Direction
The following data show the annual revenue ($ millions) and the estimated team value ($ millions) for the 32 teams in the National Football League (Forbes website, February 2009).a. Develop a scatter diagram with Revenue on the horizontal axis and Value on the vertical axis. Looking at the scatter
What is the purpose of testing whether β1 = 0? If we reject β1 = 0, does it imply a good fit?
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 offerings.a. Develop an estimated regression equation with the number of shares selling as the
The cost of a previously owned car depends upon factors such as make and model, model year, mileage, condition, and whether the car is purchased from a dealer or from a private seller. To investigate the relationship between the car's mileage and the sales price, data were collected on the mileage
In a manufacturing process the assembly line speed (feet per minute) was thought to affect the number of defective parts found during the inspection process. To test this theory, managers devised a situation in which the same batch of parts was inspected visually at a variety of line speeds. They
A sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees. A sample of 10 employees was chosen, and the following data were
A marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last quarter follow. Hours TotalSpent Studying Points Earned45 ...............4030
The Transactional Records Access Clearinghouse at Syracuse University reported data showing the odds of an Internal Revenue Service audit. The following table shows the average adjusted gross income reported and the percent of the returns that were audited for 20 selected IRS districts.a. Develop
The Australian Public Service Commission's State of the Service Report 2002-2003 reported job satisfaction ratings for employees. One of the survey questions asked employees to choose the five most important workplace factors (from a list of factors) that most affected how satisfied they were with
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 2006 Gear Guide).a. Develop a scatter diagram for these data with temperature rating (F°) as the
To avoid extra checked-bag fees, airline travelers often pack as much as they can into their suitcase. Finding a rolling suitcase that is durable, has good capacity, and is easy to pull can be difficult. The following table shows the results of tests conducted by Consumer Reports for 10 rolling
In exercise 2, 10 observations were provided for a dependent variable y and two independent variables x1 and x2; for these data SST = 15,182.9, and SSR = 14,052.2. a. Compute R2. b. Compute R2a. c. Does the estimated regression equation explain a large amount of the variability in the data? Explain.
Consider the following data for a dependent variable y and two independent variables, x1 and x2.a. Develop an estimated regression equation relating y to x1. Estimate y if x1 = 45.b. Develop an estimated regression equation relating y to x2. Estimate y if x2 = 15.c. Develop an estimated regression

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