Central Command (CentCom) intends to evaluate the average time it takes new Marine trainees to successfully complete a proposed preliminary physical fitness test. CentCom wants the average time (μ) not to exceed 800 minutes. You plan to set up a hypothesis test to test the following hypotheses H0: μ > 800 minutes Ha: μ < 800 minutes using a significance level of .05. Sample size (n) is 36 and the population standard deviation (σ) is 60 minutes. How likely is it that the test you set up would lead you to fail to reject the null hypothesis if the population mean is actually
a. 770 minutes?
b. 790 minutes?