Find the power. In Example 15.7 (page 373), a company medical director failedto find

Chapter 0, Problem 16.51

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Find the power. In Example 15.7 (page 373), a company medical director failedto find significant evidence that the mean blood pressure of a population ofexecutives differed from the national mean = 128. The medical director now wonders if the test used would detect an important difference if one were present.For the SRS of size 72 from a population with standard deviation = 15, thez statistic isz = x 12815/72The two-sided test rejects H0: = 128 at the 5% level of significance when|z| 1.96.(a) Find the power of the test against the alternative = 134.(b) Find the power of the test against = 122. Can the test be relied on todetect a mean that differs from 128 by 6?(c) If the alternative were farther from H0, say = 136, would the power behigher or lower than the values calculated in (a) and (b)?

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