Statistical Techniques in Business and Economics
Statistical Techniques in Business and Economics
16th Edition
ISBN: 9780077639723
Author: Lind
Publisher: Mcgraw-Hill Course Content Delivery
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Chapter 16, Problem 2C

B. Thomas Testing Labs

John Thomas, the owner of Thomas Testing, has for some time done contract work for insurance companies regarding drunk driving. To improve his research capabilities, he recently purchased the Rupple Driving Simulator. This device will allow a subject to take a “road test” and provide a score indicating the number of driving errors committed during the test drive. Higher scores indicate more driving errors. Driving errors would include not coming to a complete stop at a stop sign, not using turning signals, not exercising caution on wet or snowy pavement, and so on. During the road test, problems appear at random and not all problems appear in each road test. These are major advantages to the Rupple Driving Simulator because subjects do not gain any advantage by taking the test several times.

With the new driving simulator, Mr. Thomas would like to study in detail the problem of drunk driving. He begins by selecting a random sample of 25 drivers. He asks each of the selected individuals to take the test drive on the Rupple Driving Simulator. The number of errors for each driver is recorded. Next, he has each of the individuals in the group drink three 16-ounce cans of beer in a 60-minute period and return to the Rupple Driving Simulator for another test drive. The number of driving errors after drinking the beer is also shown. The research question is: Does alcohol impair the driver’s ability and, therefore, increase the number of driving errors?

Mr. Thomas believes the distribution of scores on the test drive does not follow a normal distribution and, therefore, a nonparametric test should be used. Because the observations are paired, he decides to use both the sign test and the Wilcoxon signed-rank test.

Chapter 16, Problem 2C, B. Thomas Testing Labs John Thomas, the owner of Thomas Testing, has for some time done contract

  1. a. Compare the results using these two procedures. Conduct an appropriate test of hypothesis to determine if alcohol is related to driving errors.
  2. b. Write a report that summarizes your findings.
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A common measure of flexibility is the sit-and-reach test, where a person sits on the floor with legs straight in front. The person then reaches as far forward as possible, and the distance reached past the feet is recorded. The histograms summarize the results of the sit-and-reach test for two groups, young adult men and middle-aged men. Negative distances represent a reach that is not as far as the feet. Young Adult Men 25T 20- 15 Frequency 10- 5+ 0- -20 -10 0 10 Distance (centimeters) 20 30 Middle-Aged Men 25 20- 15- Frequency 10+ 5 -20 -10 10 20 30 Distance (centimeters) (A) (B) (C) (D) Which of the following statements is the best description of the distributions of distances? The distribution for young adult men is approximately symmetric, and the distribution for middle-aged men is skewed to the right. The distribution for young adult men is approximately symmetric, and the distribution for middle-aged men is skewed to the left. The distribution for young adult men is skewed to…
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Statistical Techniques in Business and Economics

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