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.

MATLAB: An Introduction with Applications
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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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