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 men was 31 minutes per day. The standard deviation of the sample of the 10 men studied was 8 minutes per day. The mean listening time for the 11 women studied was also 31 minutes, but the standard deviation of the sample was 14 minutes. At the .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________ . Decision Do not reject. H 0.01

Explanation / Answer

The statistical software output for this problem is:

Two sample variance 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:

So,

Test statistic = 3.063

Do not reject

Ratio Num. DF Den. DF Sample Ratio F-Stat P-value 12/22 10 9 3.0625 3.0625 0.107

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