Suppose we want to test the following hypotheses regarding a particular population mean: H0: < 1500

Question:

Suppose we want to test the following hypotheses regarding a particular population mean: H0: μ < 1500 hours Ha: μ > 1500 hours Assume sample size is 100 and that the population standard deviation is 50. The significance level is 5%. Build the appropriate test and compute the probability that the test you set up could lead you into making a Type I error if
a. 1500 hrs
b. 1497 hrs
c. 1495 hrs Show that the maximum Type I error probability is equal to .