Question: A process is normally distributed with standard deviation 12. Samples of size 4 are taken. Suppose that you wish to test the hypothesis that

A process is normally distributed with standard deviation 12. Samples of size 4 are taken. Suppose that you wish to test the hypothesis that μ = 500 at α = .05 in a left-tailed test.
(a) What is the risk if the true mean is 495? If the true mean is 490? If the true mean is 485? If the true mean is 480?
(b) Calculate the power for each of the preceding values of and sketch a power curve.
(c) Repeat the previous exercises using n = 16.

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