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 8 men was 34 minutes per day. The standard deviation was 19 minutes per day. The mean listening time for a sample of 10 women was also 34 minutes, but the standard deviation of the sample was 7 minutes. At the 0.02 significance level, can we conclude that there is a difference in the variation in the listening times for men and women? (Round your answer to 3 decimal places.) The test statistic is .Decision: H0:σ21=σ22.

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Asked Dec 9, 2019
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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 8 men was 34 minutes per day. The standard deviation was 19 minutes per day. The mean listening time for a sample of 10 women was also 34 minutes, but the standard deviation of the sample was 7 minutes. At the 0.02 significance level, can we conclude that there is a difference in the variation in the listening times for men and women? (Round your answer to 3 decimal places.)

 

The test statistic is .


Decision: H0:σ21=σ22.

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Expert Answer

Step 1

The provided information are:

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For men: Sample size(n) = 8 Sample standard deviation ( s, ) = 19 For women: Sample size(n, ) =10 Sample standard deviation (s,) = 7

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Step 2

The null and alternative hypotheses are:

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Н. Н, :а +о,

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Step 3

The value of the test statisti...

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19 =. 72 = 7.367

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Hypothesis Testing

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