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business statistics a first course

Questions and Answers of Business Statistics A First Course

12.55 Given the following summary table for a randomized block design, fill in the missing items (indicated by asterisks), identify the null and alternative hypotheses in terms of the treatment
12.54 Given the following summary table for a randomized block design, fill in the missing items (indicated by asterisks), identify the null and alternative hypotheses in terms of the treatment
12.53 Two different machine control-button configurations are being tested. Recognizing that some operators are faster than others, management uses seven operators as blocks, then has each operator
12.52 Three racquetball players, one from each skill level, have been randomly selected from the membership list of a health club. Using the same ball, each person hits five serves, one with each of
12.51 The continuous operating lifetime of a battery depends very much on the electrical demands of the device in which the battery is installed. In a test of three battery brands, four examples of
12.50 A randomized block design has five different age groups as blocks, and members of each block have been randomly assigned to the treatment groups shown here.For these data, use the 0.05 level in
12.49 A randomized block design has three different income groups as blocks, and members of each block have been randomly assigned to the treatment groups shown here. For these data, use the 0.01
12.48 For a randomized block experiment having three treatments and three blocks, the results include the following sum of squares terms. Based on this information, construct the appropriate table of
12.47 For a randomized block experiment in which there are five treatments and four blocks, the calculated value of F 5 MSTRyMSE is 3.75. Using the 0.05 level of significance, what conclusion would
12.46 For a randomized block experiment in which there are three treatments and two blocks, the calculated value of F 5 MSTRyMSE is 16.1. Using the 0.05 level of significance, what conclusion would
12.45 In one-way ANOVA, we were able to determine the confidence interval for the population value of each treatment mean. Why is this not appropriate for the treatments being examined in the
In the randomized block design, what benefit is gained from blocking?
For the randomized block ANOVA model, xij 5 1 j 1 i 1 ij, explain the meaning of each term in the equation, then use the appropriate terms from the equation in presenting and explaining the
How does the randomized block design differ from the one-way, completely randomized design?
What assumptions are required in using the randomized block design?
What is the purpose of the randomized block design?
12.39 Use the pooled-variances t-test of Chapter 11 in comparing the sample means for the data of Exercise 12.30. Is the conclusion consistent with the one reached in that exercise? Explain.
12.38 Use the pooled-variances t-test of Chapter 11 in comparing the sample means for the data of Exercise 12.28. Is the conclusion consistent with the one reached in that exercise? Explain.
In general, how do the assumptions, procedures, and results of one-way ANOVA compare with those for the pooled-variances t-test of Chapter 11?
Given the summary information in Exercise 12.34, verify the calculation of the 95% confidence interval for each of the treatment means.
Given the summary information in Exercise 12.33, verify the calculation of the 95% confidence interval for each of the treatment means.
A large investment firm claims that no discrepancy exists between the average incomes of its male and female investment counselors. Random samples consisting of 15 male counselors and 17 female
12.33 A researcher has used a standard test in measuring the job-satisfaction scores for employees randomly selected from three departments of a large firm. Interpret the results summarized in the
12.32 For the following summary table for a one-way ANOVA, fill in the missing items (indicated by asterisks), identify the null and alternative hypotheses, then use the 0.025 level of significance
12.31 For the following summary table for a one-way ANOVA, fill in the missing items (indicated by asterisks), identify the null and alternative hypotheses, then use the 0.05 level of significance in
12.30 Safety researchers, interested in determining whether the occupancy of a vehicle might be related to the speed at which the vehicle is driven, have observed the following speed (mph)
12.29 Each of fifteen 60-watt lightbulbs has been randomly placed into an outlet for which the voltage is 3 volts below the line voltage, 2 volts below the line voltage, or equal to the line voltage.
12.28 Students in a large section of a biology class have been randomly assigned to one of two graduate students for the laboratory portion of the class. A random sample of final examination scores
12.27 A study has been carried out to compare the United Way contributions made by clerical workers from three local corporations. A sample of clerical workers has been randomly selected from each
12.26 For the following data from independent samples, could the null hypothesis that the population means are equal be rejected at the 0.05 level? (Use data file XR12026.) Sample 1 15.2 Sample 2
12.25 For the experiment described in Exercise 12.8, what null and alternative hypotheses would be appropriate for the one-way ANOVA to examine the data? If the data are as shown here, what
12.24 For the experiment described in Exercise 12.7, what null and alternative hypotheses would be appropriate for the one-way ANOVA to examine the data? If the data are as shown here, what
12.23 For the experiment described in Exercise 12.6, what null and alternative hypotheses would be appropriate for the one-way ANOVA to examine the data? Given the following data, what conclusion
12.22 A one-way ANOVA has been conducted for an experiment in which there are three treatments and each treatment group consists of 10 persons. The results include the sum of squares terms shown
12.21 In a one-way ANOVA, there are two independent samples, with n1 5 20 and n2 5 15. The calculated F-statistic is F 5 3.60. At the 0.05 level of significance, what conclusion would be reached?
12.20 In a one-way ANOVA, there are three independent samples, with n1 5 8, n2 5 10, and n3 5 7. The calculated F-statistic is F 5 3.95. At the 0.05 level of significance, what conclusion would be
12.19 In using ANOVA to compare the means of several samples, what value would be expected for the calculated F-statistic if the population means really are the same?Explain.
12.18 On snow-covered roads, winter tires enable a car to stop in a shorter distance than if summer tires were installed. In terms of the additive model for one-way ANOVA, and for an experiment in
12.17 In terms of the assumptions required for using ANOVA, what is the special relevance of the value calculated for the error mean square, MSE?
12.16 For the one-way ANOVA model, xij 5 1 j 1 ij, explain the meaning of each term in the equation, then use the appropriate terms from the equation in presenting and explaining the null and
Why is the F distribution applicable to ANOVA?
What assumptions are required in using the one-way ANOVA?
What is the purpose of the one-way ANOVA?
12.12 The accompanying dotplots represent independent samples. Would you tend to reject the null hypothesis that A 5 B? Explain. + 20 : :. : 40 60 80 100 120 -SAMPLEA -SAMPLEB
For the experiment described in Exercise 12.8, identify the dependent and independent variables. Indicate whether each variable is quantitative or qualitative.
For the experiment described in Exercise 12.7, identify the dependent and independent variables. Indicate whether each variable is quantitative or qualitative.
For the experiment described in Exercise 12.6, identify the dependent and independent variables. Indicate whether each variable is quantitative or qualitative.
From each of four suppliers, a quality-control technician collects a random sample of 10 rivets, then measures the number of pounds each will withstand before it fails. Does this represent a designed
Twenty accounting students are randomly assigned to two different sections of an intermediate accounting class. Each section ends up consisting of 10 students. In one of the sections,
A university president collects data showing the number of absences over the past academic year for a random sample of 6 professors in the College of Engineering. She does the same for a random
Differentiate between the independent and dependent variables in an experiment.
Explain the basic role that between-sample variation and within-sample variation play in carrying out an analysis of variance.
What is necessary for an experiment to be“balanced”?
“A factor level is the same as a treatment.” Is this statement always true? If not, what conditions are necessary for it to be true?
What is meant by a designed experiment?
11.101 An anthropologist studying personal advertisements in a Utica, New York, newspaper has observed whether the advertiser included a mention of an interest in the outdoors in his or her ads.
11.100 The data in file XR11100 are the weights (in grams) for random samples of grain packages filled by two different filling machines. The machines have a fine adjustment for the mean amount of
11.99 A company that makes an athletic shoe designed for basketball has stated in its advertisements that the shoe increases the jumping ability of players who wear it.The general manager of a
11.98 A supermarket manager is examining whether a new plastic bagging configuration in the produce area might make it more efficient for customers who are bagging their own fruits and vegetables.
11.97 Three years after receiving their degrees, graduates of a university’s MBA program have reported their annual salary rates, with a portion of the data listed in file XR11097. Graduates in one
11.96 Given the information in Exercise 11.76, and using the 0.01 level of significance in comparing the sample standard deviations, were we justified in assuming that the population standard
11.95 Given the information in Exercise 11.75, and using the 0.05 level of significance in comparing the sample standard deviations, were we justified in assuming that the population standard
11.94 A study by Experian found that 20% of consumers in New Jersey have 10 or more credit cards, compared to 11% in Tennessee. In a two-tail test at the 0.05 level of significance, and assuming the
11.93 According to the National Center for Education Statistics, 88% of elementary, middle-school, and secondaryschool students from families earning $75,000 or more per year use a computer at
11.92 A maintenance engineer has been approached by a supplier who promises less downtime for machines using its new molybdenum-based super lubricant. Of 120 machines maintained with the new
11.91 In tests of a speed-reading course, it is found that 10 subjects increased their reading speed by an average of 200 words per minute, with a standard deviation of 75 words. At the 0.10 level,
11.90 A pharmaceutical manufacturer has come up with a new drug intended to provide greater headache relief than the old formula. Of 250 patients treated with the previous medication, 130 reported
11.89 An Internal Revenue Service manager is comparing the results of recent taxpayer interviews conducted by two auditors. Of 200 taxpayers audited by Ms. Smith, 30% had to pay additional taxes. Of
11.88 A motel manager, concerned with customer theft of towels, decided that the theft rate might be reduced by changing from white, imprinted towels to a drab green version. Of the 120 guests
11.87 The idling speed of 14 gasoline-powered generators is measured with and without an oil additive that is designed to lower friction. With the additive installed, the mean change in speed was 123
11.86 In an experiment comparing a new long- distance golf ball with the conventional design, each of 20 golfers hits one drive with each ball. The average golfer in the sample hit the new ball 9.3
11.85 Observing a sample of 35 morning customers at a convenience store, a researcher finds their average stay in the store is 3.0 minutes, with a standard deviation of 0.9 minutes. For a sample of
11.84 Two machines are supposed to be producing steel bars of approximately the same length. A sample of 35 bars from one machine has an average length of 37.013 inches, with a standard deviation of
11.83 For a sample of 48 finance majors, the average time spent reading each issue of the campus newspaper is 19.7 minutes, with a standard deviation of 7.3 minutes.The corresponding figures for a
11.82 A sample of 25 production employees has been tested twice on a standard test of manual dexterity. The average change in the time required to finish the test was a decrease of 1.5 minutes, with
11.81 Independent random samples of vehicles traveling past a given point on an interstate highway have been observed on Monday versus Wednesday. For 16 cars observed on Monday, the average speed was
11.80 The developer of a new welding rod claims that spot welds using his product will have greater strength than conventional welds. For 45 welds using the new rod, the average tensile strength is
11.79 Bob Techster is very serious about winning this year’s All-American Soap Box Derby competition. Since there is no wind-tunnel time available at the aerospace firm where his father works, Bob
11.78 An industrial engineer has designed a new workstation layout that she claims will increase production efficiency. For a sample of 8 workers using the new workstation layout, the average number
11.77 A compressor manufacturer is testing two different designs for an air tank. Testing involves pumping air into a tank until it bursts, then noting the air pressure just prior to tank failure.
11.76 The manufacturer of a small utility trailer is interested in comparing the amount of fuel used in towing the trailer with that required to overcome the weight and wind resistance of a rooftop
11.75 Suspecting that television repair shops tend to charge women more than they do men, Emily disconnected the speaker wire on her portable television and took it to a sample of 12 shops. She was
11.74 An investment analyst has data for the past 8 years on each of two mutual funds, with the annual rates of return for each listed in file XR11074. On average, each fund has had an excellent
11.73 For independent samples of customers of Internet providers A and B, the ages are as listed in file XR11073.Using the 0.05 level of significance in a nondirectional test, examine whether the
11.72 A researcher has observed independent samples of females and males, recording how long each person took to complete his or her shopping at a local mall. The respective times, in minutes, are
11.71 In conducting her annual review of suppliers, a purchasing agent has collected data on a sample of orders from two of her company’s leading vendors. On average, the 24 shipments from company
11.70 According to the National Association of Homebuilders, the average life expectancies of a dishwasher and a microwave oven are about the same:9 years. Assume that their finding was based on a
11.69 Given the information in Exercise 11.11, and using the 0.05 level of significance in comparing the sample standard deviations, were we justified in assuming that the population standard
11.68 Given the information in Exercise 11.10, and using the 0.02 level of significance in comparing the sample standard deviations, were we justified in assuming that the population standard
11.67 For two samples from what are assumed to be normally distributed populations, the sample sizes and standard deviations are n1 5 28, s1 5 103.1, n2 5 41, and s2 5 133.5. At the 0.10 level of
11.66 For two samples from what are assumed to be normally distributed populations, the sample sizes and standard deviations are n1 5 10, s1 5 23.5, n2 5 9, and s2 5 10.4. At the 0.10 level of
11.65 A study by the National Marine Manufac turers Association found that 12.2% of those who participated in sailing were females age 25–34. Of those who participated in horse back riding during
11.64 Attempting to improve the quality of services provided to customers, the owner of a chain of high-fashion department stores randomly selected a number of clerks for special training in customer
11.63 An American Express survey of small-business owners found that 71% of female owners feel stressed by their work/life balance, compared to 62% of their male counterparts. Assume that file
11.62 According to the ICR Research Group, 63% of Americans in the 18–34 age group say they are comfortable filing income tax returns electronically, compared to just 49% of those who are 55–64.
11.61 In a preliminary study, the U.S. Veterans Affairs Department found that 30.9% of the 81 soldiers who were near an accidental nerve gas release just after the 1991 Persian Gulf War had muscle
11.60 A telephone sales solicitor, trying to decide between two alternative sales pitches, randomly alternated between them during a day of calls. Using approach A, 20% of 100 calls led to requests
11.59 Community National Bank is using an observational study to examine the utilization of its new 24-hour banking machine. Of 300 males who used the machine last week, 42% made two or more
11.58 Of 200 subjects approached by interviewer A, 45 refused to be interviewed. Of 120 approached by interviewer B, 42 refused an interview. At the 0.05 level of significance, can we reject the
11.57 During the course of a year, 38.0% of the 213 merchant ships lost were general cargo carriers, while 43.8% of the 219 ships lost during the following year were in this category. Using a

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