  # 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? (Round your answer to 3 decimal places.)The test statistic is .Decision: (Click to select) Reject Do not reject H0:σ21=σ22.H0:σ12=σ22.

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 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? (Round your answer to 3 decimal places.)

The test statistic is .

Decision: (Click to select) Reject Do not reject H0:σ21=σ22.H0:σ12=σ22.

check_circleExpert Solution
Step 1

The hypotheses are given below:

Null hypothesis: H0:σ21=σ22

Alternative hypothesis: Ha:σ12≠σ22.

Test statistic:

Step 2

Thus, the test statistic is 4.457.

p-value:

The degrees of freedom for numerator and denominator is given below:

Step 3

The p-value is obtained be using the Excel function “=F.DIST.RT(x-value, degree of freedom f...

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### Hypothesis Testing 