a. Explanation Calculation: In the given study, 16 automobiles moving at the same speed are tested for stopping distances on a wet pavement, and then tested for stopping distances on a dry pavement. The standard deviation for the wet pavement is 32 feet and the standard deviation for the dry pavement is 16 feet. The hypotheses are given below: Null hypothesis: H 0 : σ 1 2 ≤ σ 2 2 Alternative hypothesis: H a : σ 1 2 > σ 2 2 Test statistic. The formula for test statistic is given below: F = s 1 2 s 2 2 is with n 1 − 1 degrees of freedom for the numerator and n 2 − 1 degrees of freedom for the denominator. Where, s 1 2 is the sample variance for population 1 and s 2 2 is the sample variance for population 2. Substitute s 1 2 = 32 2 and s 2 2 = 16 2 in the test statistic formula. F = s 1 2 s 2 2 = 32 2 16 2 = 4 Thus, the test statistic is 4 b. To determine Explain the implications of the statistical conclusion in terms of driving safety recommendations.

Essentials Of Statistics For Business & Economics

9th Edition

ISBN: 9780357045435

Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran

Publisher: South-Western College Pub

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Chapter 11.2, Problem 22E

To determine

Check whether the sample data justify the conclusion that the variance in stopping distances on a wet pavement is greater than the variance in stopping distances on a dry pavement. Compute the p-value.

To determine

Explain the implications of the statistical conclusion in terms of driving safety recommendations.

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Chapter 11 Solutions

Essentials Of Statistics For Business & Economics

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Check whether the sample data justify the conclusion that the variance in stopping distances on a wet pavement is greater than the variance in stopping distances on a dry pavement. Compute the p -value.

Solution Summary: The author calculates the p-value of the test statistic, which is 0.0054.

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Check whether the sample data justify the conclusion that the variance in stopping distances on a wet pavement is greater than the variance in stopping distances on a dry pavement. Compute the p-value.

Explain the implications of the statistical conclusion in terms of driving safety recommendations.

Chapter 11 Solutions