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[Solution Library] In a previous example, a company medical director failed to find significant evidence that the mean blood pressure of a population of

Question: In a previous example, a company medical director failed to find significant evidence that the mean blood pressure of a population of executives differed from the national mean µ = 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 σ = 15, the z statistic is

\[z=\frac{\bar{X}-128}{15/\sqrt{72}}\]

The two-sided test rejects H 0 : µ = 128 at the 5% level of significance when | z | ≥ 1.96.

  1. Find the power of the test against the alternative µ = 134.
  2. Find the power of the test against µ = 122. Can the test be relied on to detect a mean that differs from 128 by 6?
  3. If the alternative were farther from H 0 , say µ = 136, would the power be higher or lower than the values calculated in (a) and (b)?

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Solution: The downloadable solution consists of 4 pages
Deliverable: Word Document


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