Consider the following null and alternative hypotheses:

H0: = 120

H1: > 120

A random sample of 81 observations taken from this population generated a sample mean of 123.5.

The population standard deviation is 15.

A.If the test is made at a 2.5% significance level, would you reject H0? by using the critical-value approach please explain how you did each of the five steps.

B.What is the probability of making a Type I error in part A? FYI - (number answer not a definition)

C.Using the p-value approach to the problem would you reject H0 when = .01? How about when = .05? (please explain how you did each of the four steps)

Thanks!