A medical doctor states that the mean age of his patients Is 47 years. A random sample of 50 of his patients was selected and their age was recorded. The ages were inputted into MINITAB for analysis. Exhibit 1 below shows the results of an analysis carried out on the data obtained: Exhibit 1 Test of mu = 47 vs mu not = 47 The assumed sigma I 18.0 Variable N Mean StDev SE Mean Z P Age 50 45.6 18.1 2.6 " " (a) State the null and the alternative hypotheses for this test. (bi Calculate the missing 7.. value "'2 to) Determine the missing P value '*". Interpret your answer for the P value. (d) Explain the term 'isvel of significance'. (e) It you were the student conducting this test. what would you conclude and why? a. Test the following hypotheses with a = .05 given that f = 405,: =100, and n = 1,000. H0: 11 = 400 Hi: p > 400 b. Repeat part (a) assuming that you know that the population standard deviation is a = 100. c. Explain why the conclusions produced in parts (a) and (b) are virtually identical