State null and alternative versions of research hypothesis

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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.

b) At a .01 level of significance, what is your conclusion? What is the p- value? Discuss the reasonableness of your findings.

Reference no: EM132852930

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