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 32 minutes per day. The standard deviation was 19 minutes per day. The mean listening time for a sample of 16 women was also 32 minutes, but the standard deviation of the sample was 9 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? Required: a. State the null and alternate hypotheses. multiple choice

• H₀: ₁² =₂² and H₁: ₁² ₂²
• H₀: ₁² =₂² and H₁: ₁² =₂²
• H₀: ₁² ₂² and H₁: ₁² ₂²
• H₀: ₁² ₂² and H₁: ₁² >₂²

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 the p-value. (Round your answer to 4 decimal places.) e. What is your decision regarding H₀? f. Interpret the result.