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Business Statistics Contemporary Decision Making 6th Edition Ken Black - Solutions

Describe the following factorial design. How many independent and dependentvariables are there? How many levels are there for each treatment? If the data were known, could interaction be determined from this design? Compute all degrees of freedom. Each data value is represented by an x. Variable 1
Describe the following factorial design. How many independent and dependent variables are there? How many levels are there for each treatment? If the data were known, could interaction be determined from this design? Compute all degrees of freedom. Each data value is represented by an x. Variable 1
The comptroller of a company is interested in determining whether the average length of long-distance calls by managers varies according to type of telephone. A randomized block design experiment is set up in which a long-distance call by each of five managers is sampled for four different types of
As part of a manufacturing process, a plastic container is supposed to be filled with 46 ounces of saltwater solution. The plant has three machines that fill the containers.Managers are concerned that the machines might not be filling the containers with the same amount of saltwater solution, so
In recent years, the debate over the U.S. economy has been constant. The electorate seems somewhat divided as to whether the economy is in a recovery or not.Suppose a survey was undertaken to ascertain whether the perception of economic recovery differs according to political affiliation. People
Safety in motels and hotels is a growing concern among travelers. Suppose a survey was conducted by the National Motel and Hotel Association to determine U.S.travelers’ perception of safety in various motel chains. The association chose four different national chains from the economy lodging
A randomized block design has a treatment variable with four levels and a blocking variable with seven blocks. Using this information and complete the following table and reach a conclusion about the null hypothesis. Source of Variance Treatment Blocks Error Total SS _df MS F 199.48 265.24 306.59
A randomized block design has a treatment variable with six levels and a blocking variable with 10 blocks. Using this information and complete the following table and reach a conclusion about the null hypothesis. Source of Variance SS df MS F Treatment Blocks Error 2,477.53 3,180.48 11,661.38 Total
The following data were gathered from a randomized block design. Use to test for a significant difference in the treatment levels. Establish the hypotheses and reach a conclusion about the null hypothesis. Block Treatment Level 1 2 3 1234 1.28 1.29 1.29 1.40 1.36 1.35 1.15 1.13 1.19 4 1.22 1.18 1.24
Use ANOVA to analyze the data from the randomized block design given here. Let State the null and alternative hypotheses and determine whether the null hypothesis is rejected. Treatment Level 1 2 3 4 Block 123 23 26 31 35 27 29 4 21 28 2222 24 24 32 33 26 27 27 22 5 18 25 27 20
Problem 11.16 analyzed the number of weekly hours worked per person at five different plants. An F value of 3.10 was obtained with a probability of .0266.Because the probability is less than .05, the null hypothesis is rejected at There is an overall difference in the mean weekly hours worked by
Do multiple comparisons on the data in problem 11.14 using Tukey’s HSD test and State which pairs of cities, if any, have significantly different mean costs.
Using compute critical values using the Tukey-Kramer procedure for the pairwise groups in problem 11.13. Determine which pairs of groups are significantly different, if any.
Use Tukey’s HSD test to compute multiple comparisons for the data in problem==11.12. Let State which regions, if any, are significantly different from other regions in mean starting salary figures.
Use the Tukey-Kramer procedure to do multiple comparisons for problem 11.11.Let State which pairs of machines, if any, produce significantly different mean fills.
Using problem 11.8, compute Tukey’s HSD and determine whether there is a significant difference in means by using this methodology. Let
Using the results from problem 11.7, compute a Tukey’s HSD to determine whether there are any significant differences between group means. Let
Use the Tukey-Kramer procedure to determine whether there is a significant difference between the means of groups 2 and 5 in problem 11.6. Let
Using the results of problem 11.5, compute a critical value by using the Tukey-Kramer procedure for groups 1 and 2. Use Determine whether there is a significant difference between these two groups.
A completely randomized design has been analyzed by using a one-way ANOVA.There are four treatment groups in the design, and each sample size is six. MSE is equal to 2.389. Using compute Tukey’s HSD for this ANOVA.
Suppose an ANOVA has been performed on a completely randomized design containing six treatment levels. The mean for group 3 is 15.85, and the sample size for group 3 is eight. The mean for group 6 is 17.21, and the sample size for group 6 is seven. MSE is .3352. The total number of observations is
Business is very good for a chemical company. In fact, it is so good that workers are averaging more than 40 hours per week at each of the chemical company’s five plants. However, management is not certain whether there is a difference between the five plants in the average number of hours worked
Shown here is the Minitab output for a one-way ANOVA. Analyze the results.Include the number of treatment levels, the sample sizes, the F value, the overall statistical significance of the test, and the values of the means.One-Way Analysis of Variance Analysis of Variance Source df SS MS F p Factor
Family transportation costs are usually higher than most people believe because those costs include car payments, insurance, fuel costs, repairs, parking, and public transportation. Twenty randomly selected families in four major cities are asked to use their records to estimate a monthly figure
A management consulting company presents a three-day seminar on project management to various clients. The seminar is basically the same each time it is given. However, sometimes it is presented to high-level managers, sometimes to midlevel managers, and sometimes to low-level managers. The seminar
That the starting salaries of new accounting graduates would differ according to geographic regions of the United States seems logical. A random selection of accounting firms is taken from three geographic regions, and each is asked to state the starting salary for a new accounting graduate who is
A milk company has four machines that fill gallon jugs with milk. The quality control manager is interested in determining whether the average fill for these machines is the same. The following data represent random samples of fill measures (in quarts)for 19 jugs of milk filled by the different
Suppose you are using a completely randomized design to study some phenomenon.There are three treatment levels and a total of 17 people in the study. Complete the following ANOVA table. Use = .05 to find the table F value and use the data to test the null hypothesis. Source of Variance Treatment
Suppose you are using a completely randomized design to study some phenomenon.There are five treatment levels and a total of 55 people in the study. Each treatment level has the same sample size. Complete the following ANOVA.Source of Variance SS df MS F Treatment 583.39 Error 972.18 Total 1555.57
Compute a one-way ANOVA on the following data.1 2 27 22 31 27 31 25 29 23 30 26 27 27 28 23 Determine the observed F value. Compare it to the critical table F value and decide whether to reject the null hypothesis. Perform a t test for independent measures on the data. Compare the t and F values.
Develop a one-way ANOVA on the following data.Determine the observed F value. Compare it to the critical F value and decide whether to reject the null hypothesis. Use a 1% level of significance. 1 2 3 _4 113 120 132 122 121 127 130 118 117 125 129 125 110 129 135 125
Compute a one-way ANOVA on the following data.Determine the observed F value. Compare the observed F value with the critical table F value and decide whether to reject the null hypothesis. Use = .01. 1 - 14 13 130 10 2 3 4 5 12 09690 10 11 16 14 12 17 12 13 14 13 12 16 13 10 17 12 14
Compute a one-way ANOVA on the following data.Determine the observed F value. Compare the observed F value with the critical table F value and decide whether to reject the null hypothesis. Use = .05. 1 21 2 3 345535 5 in m 3 3645 3 3321
Is there a difference in the family demographics of people who stay at motels?Suppose a study is conducted in which three categories of motels are used: economy motels, modestly priced chain motels, and exclusive motels. One of the dependent variables studied might be the number of children in the
A large multinational banking company wants to determine whether there is a significant difference in the average dollar amounts purchased by users of different types of credit cards. Among the credit cards being studied are MasterCard, Visa, Discover, and American Express.a. If an experimental
Southwest Airlines is able to keep fares low, in part because of relatively low maintenance costs on its airplanes. One of the main reasons for the low maintenance costs is that Southwest flies only one type of aircraft, the Boeing 737. However, Southwest flies three different versions of the 737.
Some New York Stock Exchange analysts believe that 24-hour trading on the stock exchange is the wave of the future. As an initial test of this idea, the New York Stock Exchange opened two after-hour “crossing sections” in the early 1990s and studied the results of these extra-hour sessions for
A large manufacturing company produces computer printers that are distributed and sold all over the United States. Due to lack of industry information, the company has a difficult time ascertaining its market share in different parts of the country. They hire a market research firm to estimate
Why do employees “blow the whistle”on other employees for unethical or illegal behavior? One study conducted by the AICPA reported the likelihood that employees would blow the whistle on another employee for such things as unsafe working conditions, unsafe products, and poorly managed
A study by Colliers International presented the highest and the lowest global rental rates per year per square foot of office space.Among the cities with the lowest rates were Perth, Australia; Edmonton, Alberta, Canada; and Calgary, Alberta, Canada with rates of $8.81, $9.55, and$9.69,
For the two large newspapers in your city, you are interested in knowing whether there is a significant difference in the average number of pages in each dedicated solely to advertising. You randomly select 10 editions of newspaper A and 6 editions of newspaper B (excluding weekend editions). The
One of the new thrusts of quality control management is to examine the process by which a product is produced.This approach also applies to paperwork. In industries where large long-term projects are undertaken, days and even weeks may elapse as a change order makes its way through a maze of
Various types of retail outlets sell toys during the holiday season. Among them are specialty toy stores, large discount toy stores, and other retailers that carry toys as only one part of their stock of goods. Is there any difference in the dollar amount of a customer purchase between a large
Executives often spend so many hours in meetings that they have relatively little time to manage their individual areas of operation.What is the difference in mean time spent in meetings by executives of the aerospace industry and executives of the automobile industry? Suppose random samples of 33
Is there a difference in the proportion of construction workers who are under 35 years of age and the proportion of telephone repair people who are under 35 years of age? Suppose a study is conducted in Calgary, Alberta, using random samples of 338 construction workers and 281 telephone repair
A manufacturer uses two machines to drill holes in pieces of sheet metal used in engine construction. The workers who attach the sheet metal to the engine become inspectors in that they reject sheets so poorly drilled that they cannot be attached. The production manager is interested in knowing
In manufacturing, does worker productivity drop on Friday? In an effort to determine whether it does, a company’s personnel analyst randomly selects from a manufacturing plant five workers who make the same part. He measures their output on Wednesday and again on Friday and obtains the following
As the prices of heating oil and natural gas increase, consumers become more careful about heating their homes. Researchers want to know how warm homeowners keep their houses in January and how the results from Wisconsin and Tennessee compare. The researchers randomly call 23 Wisconsin households
What is the average difference between the price of name-brand soup and the price of store-brand soup? To obtain an estimate, an analyst randomly samples eight stores. Each store sells its own brand and a national name brand. The prices of a can of name-brand tomato soup and a can of the
Is there more variation in the output of one shift in a manufacturing plant than in another shift? In an effort to study this question, plant managers gathered productivity reports from the 8 A.M. to 4 P.M. shift for eight days.The reports indicated that the following numbers of units were produced
One of the most important aspects of a store’s image is the perceived quality of its merchandise. Other factors include merchandise pricing, assortment of products, convenience of location, and service. Suppose image perceptions of shoppers of specialty stores and shoppers of discount stores are
A tree nursery has been experimenting with fertilizer to increase the growth of seedlings. A sample of 35 twoyear-old pine trees are grown for three more years with a cake of fertilizer buried in the soil near the trees’roots. A second sample of 35 two-year-old pine trees are grown for three more
A national grocery store chain wants to test the difference in the average weight of turkeys sold in Detroit and the average weight of turkeys sold in Charlotte. According to the chain’s researcher, a random sample of 20 turkeys sold at the chain’s stores in Detroit yielded a sample mean of
A study was conducted to develop a scale to measure stress in the workplace. Respondents were asked to rate 26 distinct work events. Each event was to be compared with the stress of the first week on the job, which was awarded an arbitrary score of 500. Sixty professional men and 41 professional
A study was conducted to compare the salaries of accounting clerks and data entry operators. One of the hypotheses to be tested is that the variability of salaries among accounting clerks is the same as the variability of salaries of data entry operators. To test this hypothesis, a random sample of
There are several methods used by people to organize their lives in terms of keeping track of appointments, meetings, and deadlines. Some of these include using a desk calendar, using informal notes of scrap paper, keeping them “in your head,” using a day planner, and keeping a formal “to
A study is conducted to estimate the average difference in bus ridership for a large city during the morning and afternoon rush hours. The transit authority’s researcher randomly selects nine buses because of the variety of routes they represent. On a given day the number of riders on each bus is
Suppose a large insurance company wants to estimate the difference between the average amount of term life insurance purchased per family and the average amount of whole life insurance purchased per family. To obtain an estimate, one of the company’s actuaries randomly selects 27 families who
Suppose a large insurance company wants to estimate the difference between the average amount of term life insurance purchased per family and the average amount of whole life insurance purchased per family. To obtain an estimate, one of the company’s actuaries randomly selects 27 families who
Test the following hypotheses by using the given data. Let alpha = .05 H: = Ho n 8, 10, s = 46, s = 37 = = 2
Use the following data to construct a 99% confidence interval to estimate p1 - p2. Sample 1 m n =409 P = .71 Sample 2 n =378 P = .67
Test the following hypotheses by using the given data and alpha equal to .05. Ho: P1 P2 = 0 Ha: Pi P20 Sample 1 783 x=345 Sample 2 112 896 x=421
Use the following data to construct a 99% confidence interval to estimate D.Assume the differences are normally distributed in the population. Respondent Before After 1 47 63 23 33 35 38 36 4 50 56 56989 39 44 27 29 7 35 32 46 54 41 47
The following data have been gathered from two related samples. The differences are assumed to be normally distributed in the population. Use these data and alpha of .01 to test the following hypotheses. Ho: D=0 H:D < 0 n = 21, a -1.16, sa = 1.01 =
Construct a 95% confidence interval to estimate m1 - m2 by using the following data. Assume the populations are normally distributed. Sample 1 x=74.6 = 10.5 = 18 Sample 2 = 70.9 $11.4 1219
The following data come from independent samples drawn from normally distributed populations. Use these data to test the following hypotheses. Let the Type I error rate be .05. Sample 1 x = 2.06 s = .176 n = 12 "I Ho - = 0 - > Sample 2 = x21.93 = .143 122 11 = 15
Use the following data to construct a 98% confidence interval to estimate the difference between 1 and 2. Sample 1 185 = 34.9 = 2.97 n = 34 Sample 2 x2 = 27.6 = 3.50 n = 31
Test the following hypotheses with the data given. Let = .10. Ho: = 0 Mi Sample 1 x=138.4 = 6.71 = 48 - Sample 2 x=142.5 = 8.92 02 11 = 39
According to the General Accounting Office of the U.S. government, the average age of a male federal worker is 43.6 years and that of a male worker in the nonfederal sector is 37.3 years. Is there any difference in the variation of ages of men in the federal sector and men in the nonfederal sector?
One recent study showed that the average annual amount spent by an East Coast household on frankfurters was $23.84 compared with an average of $19.83 for West Coast households. Suppose a random sample of 12 East Coast households showed that the standard deviation of these purchases (frankfurters)
How long are resale houses on the market? One survey by the Houston Association of Realtors reported that in Houston, resale houses are on the market an average of 112 days. Of course, the length of time varies by market. Suppose random samples of 13 houses in Houston and 11 houses in Chicago that
Suppose the data shown here are the results of a survey to investigate gasoline prices. Ten service stations were selected randomly in each of two cities and the figures represent the prices of a gallon of unleaded regular gasoline on a given day.Use the F test to determine whether there is a
Test the following hypotheses by using the given sample information and a = .05.Assume the populations are normally distributed. Ho Ho m = 5, m = 19, S = 4.68, $2 = 2.78
Test the following hypotheses by using the given sample information and = .01.Assume the populations are normally distributed. Hooo = H
Many Americans spend time worrying about paying their bills. A survey by Fleishman-Hilliard Research for MassMutual discovered that 60% of Americans with kids say that paying bills is a major concern. This proportion compares to 52%of Americans without kids. Suppose 850 Americans with kids and 910
According to a CCH Unscheduled Absence survey, 9% of small businesses use telecommuting of workers in an effort to reduce unscheduled absenteeism. This proportion compares to 6% for all businesses. Is there really a significant difference between small businesses and all businesses on this issue?
A large production facility uses two machines to produce a key part for its main product. Inspectors have expressed concern about the quality of the finished product. Quality control investigation has revealed that the key part made by the two machines is defective at times. The inspectors randomly
Companies that recently developed new products were asked to rate which activities are most difficult to accomplish with new products. Options included such activities as assessing market potential, market testing, finalizing the design, developing a business plan, and the like. A researcher wants
Does age make a difference in the amount of savings a worker feels is needed to be secure at retirement? A study by CommSciences for Transamerica Asset Management found that .24 of workers in the 25–33 age category feel that $250,000 to $500,000 is enough to be secure at retirement. However, .35
According to a study conducted for Gateway Computers, 59% of men and 70% of women say that weight is an extremely/very important factor in purchasing a laptop computer. Suppose this survey was conducted using 374 men and 481 women. Do these data show enough evidence to declare that a significantly
In each of the following cases, calculate a confidence interval to estimate p1 - p2. a. n =85, n=90, = .75, 2.67; level of confidence = 90% = b. n 1100, n=1300, = .19, p = .17; level of confidence = 95% c. n =430, n=399, x = 275, x2=275; level of confidence = 85% d. n =1500, n 1500, x = 1050, x2
Using the given sample information, test the following hypotheses.Note that x is the number in the sample having the characteristic of interest. a. Ho P P 0 Ha: Pi P20 Sample 1 n = 368 x=175 Sample 2 11-405 x2 182 Let a=.05.
miles per gallon in favor of the premium unleaded, and the sample standard deviation of difference was 1.9 miles per gallon. For , does the test show enough evidence for the researcher to conclude that there is a significant difference in mileage between regular unleaded and premium unleaded
Is there a significant difference in the gasoline mileage of a car for regular unleaded and premium unleaded? To test this question, a researcher randomly selected 15 drivers for a study. They were to drive their cars for one month on regular unleaded and for one month on premium unleaded gasoline.
A nationally known supermarket decided to promote its own brand of soft drinks on TV for two weeks. Before the ad campaign, the company randomly selected 21 of its stores across the United States to be part of a study to measure the campaign’s effectiveness. During a specified half-hour period on
Lawrence and Glover published the results of a study in the Journal of Managerial Issues in which they examined the effects of accounting firm mergers on auditing delay. Auditing delay is the time between a company’s fiscal year-end and the date of the auditor’s report. The hypothesis is that
Eleven employees were put under the care of the company nurse because of high cholesterol readings. The nurse lectured them on the dangers of this condition and put them on a new diet. Shown are the cholesterol readings of the 11 employees both before the new diet and one month after use of the
The vice president of marketing brought to the attention of sales managers that most of the company’s manufacturer representatives contacted clients and maintained client relationships in a disorganized, haphazard way. The sales managers brought the reps in for a three-day seminar and training
Because of uncertainty in real estate markets, many homeowners are considering remodeling and constructing additions rather than selling. Probably the most expensive room in the house to remodel is the kitchen, with an average cost of about $23,400. In terms of resale value, is remodeling the
Construct a 90% confidence interval to estimate D from the following sample information.Assume the differences are normally distributed in the population. Client Before After 1 32 40 23456789 28 25 35 36 4 32 32 26 29 6 25 31 37 39 16 30 35 31
Construct a 98% confidence interval to estimate D from the following sample information.Assume the differences are normally distributed in the population. a = 40.56, Sa = 26.58, n = 22
Use the data given to test the following hypotheses Assume the differences are normally distributed in the population. Ho: D = 0 H: D0 Individual Before After 123456789 107 102 99 98 110 100 113 108 96 89 98 101 100 99 102 102 107 105 10 109 110 11 104 102 12 99 96 13 101 100
Use the data given and a 1% level of significance to test the following hypotheses.Assume the differences are normally distributed in the population. Ho: D = 0 H: D> 0 Pair Sample 1 Sample 2 - 1 38 22 23456789 27 28 30 21 41 38 36 38 38 26 33 19 35 31 44 35
Some studies have shown that in the United States, men spend more than women buying gifts and cards on Valentine’s Day. Suppose a researcher wants to test this hypothesis by randomly sampling nine men and 10 women with comparable demographic characteristics from various large cities across the
A study was made to compare the costs of supporting a family of four Americans for a year in different foreign cities. The lifestyle of living in the United States on an annual income of $75,000 was the standard against which living in foreign cities was compared. A comparable living standard in
What is the difference in average daily hotel room rates between Minneapolis and New Orleans? Suppose we want to estimate this difference by taking hotel rate samples from each city and using a 98% confidence level. The data for such a study follow. Use these data to produce a point estimate for
Based on an indication that mean daily car rental rates may be higher for Boston than for Dallas, a survey of eight car rental companies in Boston is taken and the sample mean car rental rate is $47, with a standard deviation of $3. Further, suppose a survey of nine car rental companies in Dallas
According to an Experiential Education Survey published at JobWeb.com, the average hourly wage of a college student working as a co-op is $15.64 an hour and the average hourly wage of an intern is $15.44. Assume that such wages are normally distributed in the population and that the population
Suppose a Realtor is interested in comparing the asking prices of midrange homes in Peoria, Illinois, and Evansville, Indiana. The Realtor conducts a small telephone survey in the two cities, asking the prices of midrange homes. A random sample of 21 listings in Peoria resulted in a sample average
a. Suppose you want to determine whether the average values for populations 1 and 2 are different, and you randomly gather the following data.Test your conjecture, using a probability of committing a Type I error of .01.Assume the population variances are the same and x is normally distributed in

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