Question: 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? (? is the process standard deviation), what is the Type II error for detecting this mean shift by using this control chart?

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