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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 9 men was 33 minutes per day. The standard deviation was 7 minutes per day. The mean listening time for a sample of 21 women was also 33 minutes, but the standard deviation of the sample was 18 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?

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 9 men was 33 minutes per day. The standard deviation was 7 minutes per day. The mean listening time for a sample of 21 women was also 33 minutes, but the standard deviation of the sample was 18 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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
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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 9 men was 33 minutes per day. The standard deviation was 7 minutes per day. The mean listening time for a sample of 21 women was also 33 minutes, but the standard deviation of the sample was 18 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.

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