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6. Most individuals are aware that the average annual repair cost for an automobile depends on the age of the automobile. A researcher is interested in finding out whether the variance of the annual repair costs also increases with the age of the automobile. A sample of 29 automobiles that were four years old showed a sample standard deviation for annual repair costs of $270 and a sample of 26 automobiles that were two years old showed a sample standard deviation for annual repair costs of $230. a. State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles. b. At a 0.01 level of significance, what is your conclusion? What is the p- value? Discuss the reasonableness of your findings.

6. Most individuals are aware that the average annual repair cost for an automobile depends on the age of the automobile. A researcher is interested in finding out whether the variance of the annual repair costs also increases with the age of the automobile. A sample of 29 automobiles that were four years old showed a sample standard deviation for annual repair costs of $270 and a sample of 26 automobiles that were two years old showed a sample standard deviation for annual repair costs of $230. a. State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles. b. At a 0.01 level of significance, what is your conclusion? What is the p- value? Discuss the reasonableness of your findings.

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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6. Most individuals are aware that the average annual repair cost for an automobile depends on the age of the automobile. A researcher is interested in finding out whether the variance of the annual repair costs also increases with the age of the automobile. A sample of 29 automobiles that were four years old showed a sample standard deviation for annual repair costs of $270 and a sample of 26 automobiles that were two years old showed a sample standard deviation for annual repair costs of $230. a. State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles. b. At a 0.01 level of significance, what is your conclusion? What is the p- value? Discuss the reasonableness of your findings.
Transcribed Image Text:6. Most individuals are aware that the average annual repair cost for an automobile depends on the age of the automobile. A researcher is interested in finding out whether the variance of the annual repair costs also increases with the age of the automobile. A sample of 29 automobiles that were four years old showed a sample standard deviation for annual repair costs of $270 and a sample of 26 automobiles that were two years old showed a sample standard deviation for annual repair costs of $230. a. State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles. b. At a 0.01 level of significance, what is your conclusion? What is the p- value? Discuss the reasonableness of your findings.
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