Question

Consider the test H0: μ <=100 vs H1: μ >100 Suppose that a sample of size 36 has a sample mean of 105. (i) Determine the p-value of this outcome if the population standard deviation is known to be 15. (ii) Based on the p-value obtained in (i) above for what values of α you would Reject H0 (a) 0.01, (b) 0.02 (c) 0.06. You are not expected to perform the test all over again for each value of α; instead conclude based on outcome of (i) above.