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 35 minutes per day. The standard deviation was 10 minutes per day. The mean listening time for a sample of 12 women was also 35 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. (choose one)

A) H₀: ₁²=₂²andH₁: ₁²₂²

B) H₀: ₁²=₂²andH₁: ₁²=₂²

C) H₀: ₁²₂²andH₁: ₁²₂²

D) H₀: ₁²₂²andH₁: ₁²>₂²

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

Reject H0 where F > _______

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? (choose one)

Decision: (Reject, Do not reject) H0.

f.Interpret the result. (choose the appropriate phrase for the statement)

We can conclude that there is (a difference, no difference) in the variation in the listening times for men and women.