Question

Exercise 12-5 (LO12-1)

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 10 men was 42 minutes per day. The standard deviation was 16 minutes per day. The mean listening time for a sample of 13 women was also 42 minutes, but the standard deviation of the sample was 15 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 ______

Answer 1

Let S1 be the sample standard deviation of men and S1 = 16 and S2 be the sample standard deviation of women and S2 = 15

We want to test here the difference between the variances of Men and women.

Then the test statistic for this test is

  

=1.138