Arbitron Media Research Incorporated 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 30 minutes per day. The standard deviation was 13 minutes per day. The mean listening time for a sample of 18 women was also 30 minutes, but the standard deviation of the sample was 13 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?
Arbitron Media Research Incorporated 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 30 minutes per day. The standard deviation was 13 minutes per day. The mean listening time for a sample of 18 women was also 30 minutes, but the standard deviation of the sample was 13 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?
a. State the null and alternate hypotheses.
multiple choice
-
H0: σ12 = σ22 and H1: σ12 ≠ σ22
-
H0: σ12 = σ22 and H1: σ12 = σ22
-
H0: σ12 ≠ σ22 and H1: σ12 ≠ σ22
-
H0: σ12 ≤ σ22 and H1: σ12 > σ22
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.
Trending now
This is a popular solution!
Step by step
Solved in 7 steps with 1 images
