M and 3. You are in charge of a delivery company that has a large fleet of delivery truck. The distance a truck travels in a day follows unknown distribution with an unknown mean/expectation variance oº. We take a sample of n=36 trucks, and compute X = 55 (sample mean) and s2 49 (the sample variance). a. Create a 95% confidence interval for u. a b. Create a 99% confidence interval for u. а c. Compare your intervals from part a. and b. in terms of interval length. Why do they differ? d. Interest lies in if u is greater than 50. Using your 95% confidence interval, in a sentence or two р explain how you could answer if u > 50. e. Interest lies in if u is greater than 50. Write out the null and alternative hypothesis that would address this question of interest.