(a) Explanation Given info: A survey was done on 500 randomly selected cars, where the distance driven by them was noted. The average car in the U.S. state drove 13.5 thousand miles. The level of significance is 5%. Calculation: Step 1: Hypothesis: Null hypothesis: H 0 : μ = 13.5 That is, the mean distance driven last year is the same as in 2011. Alternative hypothesis: H a : μ ≠ 13.5 That is the mean distance driven last year differs from that in 2011. Step 2: Significance level: The level of significance is 5%. Step 3: Test statistic: Software procedure: Step-by-step procedure to obtain the test value using MINITAB software: Choose Stat > Nonparametrics > 1-Sample Wilcoxon. In Variables , enter the column of PRESSURE Choose the Test median , enter the value as 13.5 and select not equal in Alternative . Click OK . Output using MINITAB software is given below: (b) To determine Compare the results of part a with Problem 9.125 where t -test was used.

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ISBN: 9780321989178

Author: Neil A. Weiss

Publisher: PEARSON

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Chapter 9.6, Problem 164E

(a)

To determine

Test whether the mean distance driven last year differs from that in 2011 or not using Wilcoxon signed-rank test.

(b)

To determine

Compare the results of part a with Problem 9.125 where t-test was used.

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Chapter 9.6, Problem 163E

Chapter 9.6, Problem 165E

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Chapter 9 Solutions

Introductory Statistics (10th Edition)

Ch. 9.1 - Explain the meaning of the term hypothesis as used...Ch. 9.1 - Regarding the term null hypothesis: a. Originally,...Ch. 9.1 - What role does the decision criterion play in a...Ch. 9.1 - Suppose that you want to perform a hypothesis test...Ch. 9.1 - Suppose that you are considering a hypothesis test...Ch. 9.1 - Suppose that, in a hypothesis test, the null...Ch. 9.1 - Suppose that, in a hypothesis test, the null...Ch. 9.1 - What is the relation between the significance...Ch. 9.1 - Answer true or false and explain your answer: If...Ch. 9.1 - Answer true or false and explain your answer: For...

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Test whether the mean distance driven last year differs from that in 2011 or not using Wilcoxon signed-rank test.

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Test whether the mean distance driven last year differs from that in 2011 or not using Wilcoxon signed-rank test.

Compare the results of part a with Problem 9.125 where t-test was used.

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Chapter 9 Solutions