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A researcher is investigating the effectiveness of a new medication for lowering

ID: 3238181 • Letter: A

Question

A researcher is investigating the effectiveness of a new medication for lowering blood pressure for individuals with systolic pressure greater than 140. For this population, systolic scores average mu = 160 with a standard deviation of alpha = 20, and the scores form a normal-shaped distribution. The researcher plans to select a sample of n = 25 individuals, and measure their systolic blood pressure after they take the medication for 60 days. If the researcher uses a two-tailed test with alpha = .05, a. What is the power of the test if the medication has a 5-point effect?

Explanation / Answer

The critical boundary, z = -1.96, corresponds to M = 152.16.

With a 5-point effect, this mean is located at z = -0.71 and the power is 0.2389 or 23.89%.

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