Most individuals are aware of the fact that the average annual repair cost for an automobiledepends on the age of the automobile. A researcher is interested in finding outwhether the variance of the...

Most individuals are aware of the fact that the average annual repair cost for an automobiledepends on the age of the automobile. A researcher is interested in finding outwhether 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 forannual repair costs of $170 and a sample of 25 automobiles 2 years old showed a samplestandard deviation for annual repair costs of $100.a. State the null and alternative versions of the research hypothesis that the variance inannual repair costs is larger for the older automobiles.b. At a .01 level of significance, what is your conclusion? What is the p-value? Discussthe reasonableness of your findings.