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 34 minutes per day. The standard deviation of the sample of the 10 men studied was 13 minutes per day. The mean listening time for the 11 women studied was also 34 minutes, but the standard deviation of the sample was 15 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.)

Explanation / Answer

Solution:

mean of men = 27 min per day

stdev = 12 min per day
men =10
mean of women= 27 min
stdev =13
women =11
variation =
t= 27-27/(sqrt(12^2/10 +13^2 /11) = 0

so as t <1.96 hence null is accepted at 90% confidence so there is no variation

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