Arbitron Media Research Inc. conducted a study of the iPod listening habits of m

Question

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 39 minutes per day. The standard deviation was 12 minutes per day. The mean listening time for a sample of 10 women was also 39 minutes, but the standard deviation of the sample was 16 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? (Round your answer to 3 decimal places.) The test statistic is H_0: sigma^2_1 = sigma^2_2.

Explanation / Answer

The statistical software output for this problem is:

Two sample variance summary hypothesis test:
12 : Variance of population 1
22 : Variance of population 2
12/22 : Ratio of two variances
H0 : 12/22 = 1
HA : 12/22 1

Hypothesis test results:

Hence,

Test statistic = 1.778

Decision: Do not reject

Ratio Num. DF Den. DF Sample Ratio F-Stat P-value 12/22 9 7 1.7777778 1.7777778 0.4604

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