In its 2016 Auto Reliability Survey, Consumer Reports asked subscribers to report their maintenance and repair costs. Most individuals are aware of the fact 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 26 automobiles years old showed a sample standard deviation for annual repair costs of $170 and a sample of 25 automobiles 2 years old showed a sample standard deviation for annual repair costs of $100.

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Chapter1: Combinatorial Analysis
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In its 2016 Auto Reliability Survey, Consumer Reports asked subscribers to report their maintenance and repair costs. Most individuals are aware of the fact 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 26 automobiles 4 years old showed a sample standard deviation for annual repair costs of $170 and a sample of 25 automobiles 2 years old showed a sample
standard deviation for annual repair costs of $100.
a. State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles. Let 4 year old automobiles be represented
by population 1.
Ho : o
- Select your answer -
Ha : o?
- Select your answer -
b. At a 0.01 level of significance, what is your conclusion?
Calculate the value of the test statistic (to 2 decimals).
The p-value is
- Select your answer -
Use Table 4 of Appendix B.
- Select your answer - v that 4 year old automobiles have a larger variance in annual repair costs compared to 2 year old automobiles.
Transcribed Image Text:In its 2016 Auto Reliability Survey, Consumer Reports asked subscribers to report their maintenance and repair costs. Most individuals are aware of the fact 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 26 automobiles 4 years old showed a sample standard deviation for annual repair costs of $170 and a sample of 25 automobiles 2 years old showed a sample standard deviation for annual repair costs of $100. a. State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles. Let 4 year old automobiles be represented by population 1. Ho : o - Select your answer - Ha : o? - Select your answer - b. At a 0.01 level of significance, what is your conclusion? Calculate the value of the test statistic (to 2 decimals). The p-value is - Select your answer - Use Table 4 of Appendix B. - Select your answer - v that 4 year old automobiles have a larger variance in annual repair costs compared to 2 year old automobiles.
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