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Arbitron Media Research Inc. conducted a study of the iPod listening habits of men and women....

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 9 men was 43 minutes per day. The standard deviation was 21 minutes per day. The mean listening time for a sample of 8 women was also 43 minutes, but the standard deviation of the sample was 13 minutes. Use a two-tailed test and at 0.10 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?

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Answer #1

Test statisic for testing about difference in variations

= (Variance of Sample 1) / (Variance of Sample 2)

= 212 / 132

= 2.609

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