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 $120 and a sample of 23 automobiles 2 years old showed a sample standard deviation for annual repair costs of $100. let 4 year old automobiles be represented by population 1.state the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles.