a. Test the following hypotheses with ? = .05 given

a. Test the following hypotheses with ? = .05 given that x? = 405, s = 100, and n = 1,000.,H0: µ = 400,H1: µ > 400,b. Repeat part (a) assuming that you know that the population standard deviation is ? = 100.,c. Explain why the conclusions produced in parts (a) and (b) are virtually identical.,The following exercises may be answered manually or with the assistance of a computer. The data are stored in files. Assume that the random variable is normally distributed.