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 11 men was 31 minutes per day. The standard deviation was 18 minutes per day. The mean listening time for a sample of 13 women was also 31 minutes, but the standard deviation of the sample was 12 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?

a.State the null and alternate hypotheses.

H₀: ₁²=₂²andH₁: ₁²₂²

b.State the decision rule.(Round your answer to 2 decimal places.)

c.Compute the value of the test statistic.(Round your answer to 2 decimal places.)

d.Compute thep-value.(Round your answer to 4 decimal places.)

e.What is your decision regardingH₀?

f.Interpret the result.