For a new process with which the production personnel have little experience, neither the standard deviation nor

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For a new process with which the production personnel have little experience, neither the standard deviation nor the mean of the process is known. Twenty different simple random samples, each with n = 50, are to be drawn from the process, and a 90% confidence interval for the mean is to be constructed for each sample. What is the probability that at least 2 of the confidence intervals will not contain the population mean?
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