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 13 men was 30 minutes per day. The standard deviation was 13 minutes per day. The mean listening time for a sample of 11 women was also 30 minutes, but the standard deviation the sample was 14 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. Ho: 012-022 and H₁: 0₁²02² Ho: 02-0₂2 and H₁ 01²-022 Ho: 0₁2022 and Hy: 0₁² 0₂² Ho: 012 5022 and H 0₁²>02² b. State the decision rule. (Round your answer to 2 decimal places.) Reject H₂ F> c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) The test statistic is 43

MATLAB: An Introduction with Applications
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d. Compute the p-value. (Round your answer to 4 decimal places.)
p-value
e. What is your decision regarding H?
Do not reject
Decision
4
Transcribed Image Text:d. Compute the p-value. (Round your answer to 4 decimal places.) p-value e. What is your decision regarding H? Do not reject Decision 4
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 13 men was 30 minutes per day. The standard
deviation was 13 minutes per day. The mean listening time for a sample of 11 women was also 30 minutes, but the standard deviation
the sample was 14 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:
o. State the null and alternate hypotheses.
Ho: 0₁2-022 and H₁: 0₁² #0₂²
Ho: 012022 and H 0₁²-0₂²
Ho: 0₁2022 and Hy: 0₁²0₂²
Ho: 0₁2 s0₂2 and H 01²02²
b. State the decision rule. (Round your answer to 2 decimal places.)
Reject H₂ #F>
c. Compute the value of the test statistic (Round your answer to 2 decimal places.)
The test statistic is
1.16
27
Transcribed Image Text: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 13 men was 30 minutes per day. The standard deviation was 13 minutes per day. The mean listening time for a sample of 11 women was also 30 minutes, but the standard deviation the sample was 14 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: o. State the null and alternate hypotheses. Ho: 0₁2-022 and H₁: 0₁² #0₂² Ho: 012022 and H 0₁²-0₂² Ho: 0₁2022 and Hy: 0₁²0₂² Ho: 0₁2 s0₂2 and H 01²02² b. State the decision rule. (Round your answer to 2 decimal places.) Reject H₂ #F> c. Compute the value of the test statistic (Round your answer to 2 decimal places.) The test statistic is 1.16 27
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