Exercise 12-5 (Static) (LO12-1) 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 10 men was 35 minutes per day. The standard deviation was 10 minutes per day. The mean listening time for a sample of 13 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. 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.
Exercise 12-5 (Static) (LO12-1) 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 10 men was 35 minutes per day. The standard deviation was 10 minutes per day. The mean listening time for a sample of 13 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. 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Question
Exercise 12-5 (Static) (LO12-1)
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 10 men was 35 minutes per day. The standard deviation was 10 minutes per day. The mean listening time for a sample of 13 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.
-
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.
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