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What is the type I error for x-bar control charts with 0.001 probability limit and sample size of 4? Assume the mean shift is 1.5

What is the type I error for x-bar control charts with 0.001 probability limit and sample size of 4? Assume the mean shift is 1.5 sigma (sigma is the process standard deviation, that is, the standard deviation of individual observations), what is the type II error under this mean shift?

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