Randomly selected 16 student cars have ages with a mean of 7.5 years and a standard deviation of 34 years, while randomly selected 19 faculty cars have ages with a mean of 5.5 years a1 a standard deviation 0f3.3 years. 1. Use a 0.01 signicance level to test the claim that student cars are older than faculty cars. (a) The test statistic is _ (b) The critical Value is _ (C) Is there suicient evidence to support the claim that student cars are older than Faculty cats? A. No B. Yes 2. Construct a 99% condence interval estimate ofthe difference {4, {.1}, where 11., is the mean age of student cars and ,u; is the mean age of faculty cars