Question: A sewing machine uses ball bearings that are targeted to have a diameter of 0.75 inch. The lower and upper specifications limits under which the ball bearing can operate are 0.74 inch and 0.76 inch. Past experience has indicated that the actual diameter of the ball bearings is approx normally distributed with a mean of 0.753incha and a standard deviation of 0.004 inch. If a random sample of 25 ball bearings is selected, what is the probability that the sample mean will be above the upper specification limit (0.76)

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