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 and variance 2. We take a sample of n=36 trucks, and compute X = 55 (sample mean) and s2 = 49 (thqe sample variance).

a. Create a 95% confidence interval for . b. Create a 99% confidence interval for .

c. Compare your intervals from part a. and b. in terms of interval length. Why do they differ? d. Interest lies in if is greater than 50. Using your 95% confidence interval, in a sentence or two explain how you could answer if > 50.