Answered: Arbitron Media Research Inc. conducted…

Name: Arbitron Media Research Inc. conducted a study of the iPod listening h
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Description: Arbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 11 men was 41 minutes per day. The s

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Arbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 11 men was 41 minutes per day. The standard deviation was 17 minutes per day. The mean listening time for a sample of 10 women was also 41 minutes, but the standard deviation of the sample was 9 minutes. At the 0.10 significance level, can we conclude that there is a difference in the variation in the listening times for men and women?

a. State the null and alternate hypotheses.

multiple choice

a) H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂²

b) H₀: σ₁² = σ₂² and H₁: σ₁² = σ₂²

c) H₀: σ₁² ≠ σ₂² and H₁: σ₁² ≠ σ₂²

d) H₀: σ₁² ≤ σ₂² and H₁: σ₁² > σ₂²

^{b. State the decision rule. (Round your answer to 2 decimal places.)}

^{Reject H0 where F>}

^{c. Compute the value of the test statistic. (Round your answer to 2 decimal places.)}

^{d. Compute the p-value. (Round your answer to 4 decimal places.)}

^{e. What is your decision regarding H₀?}

^{f. Interpret the result.}

^{We can conclude that there is ________ in the variation in the listening times for man and women.}

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