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To determine whether a metal lathe that produces machine bearings is properly adjusted, a sample of 36 bearings is collected and the diameter of each is measured. Assume the standard deviation of the...

To determine whether a metal lathe that produces machine bearings is properly adjusted, a sample of 36 bearings is collected and the diameter of each is measured. Assume the standard deviation of the diameter of the machine bearing is stable and equal to 0.001 inch. What is the probability that the mean diameter "x bar" of the sample will lie within 0.0001 inch of the process mean?

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