6.115 Power of the mean blood pressure.

Example 6.20 (pages 327–328) gives a test of a hypothesis about systolic blood pressure of company executives based on a sample size of 72. The hypotheses are

Assume that the population standard deviation is . Consider the test at the 1% level of significance, which implies that it would reject when , where

Is this test sufficiently sensitive to usually detect a company mean blood pressure level of 133 with at least 0.8 power?