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 34 minutes per day. The standard deviation was 19 minutes per day. The mean listening time for a sample of 10 women was also 34 minutes, but the standard deviation of the sample was 7 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 ?

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

Answer 1

we will have to do the test of variance

DATA GIVEN BELOW

, , 19 ,  

The alternative hypothesis will be H1: ( Two tailed test) i.e the estimates of   given by samples are homogenous

for this the statistic will be F statistic

F = 7.367

F tabulated for (8,10) df at .02 level of significance for the two tailed test is 2.38

AS

we will have to reject at .02 level of significance for the two tailed test