The marketers of shampoo products know that customers like their product to have a lot

Chapter 9, Problem 9-128

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The marketers of shampoo products know that customers like their product to have a lot of foam. A manufacturer of shampoo claims that the foam height of his product exceeds 200 millimeters. It is known from prior experience that the standard deviation of foam height is 8 millimeters. For each of the following sample sizes, and a fixed 0.05, find the power of the test if the true mean is 204 millimeters. (a) n 20 (b) n 50 (c) n 100 (d) Does the power of the test increase or decrease as the sample size increases? Explain your answer.

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