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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 13 men was 30 minutes per day. The standard deviation was 13 minutes per day. The mean listening time for a sample of 11 women was also 30 minutes, but the standard deviation of the sample was 14 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?

The test statistic is:

Decision: do not reject or reject. H0:σ21=σ22.

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