The marketers of shampoo products know that customers like

Chapter 9, Problem 148SE

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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 its 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 with a fixed \(\alpha=0.05\), 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.

Equation Transcription:

Text Transcription:

alpha=0.05

n=20

n=50

n=100

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