Diameters, in mm, were measured for eight specimens of a certain type of ball bearing. The results

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Diameters, in mm, were measured for eight specimens of a certain type of ball bearing. The results were

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Assume the diameters are normally distributed.

a. Find a 98% prediction interval for the diameter of a single ball bearing.

b. Find a tolerance interval for the diameter that contains 99% of the ball bearings with 95% confidence.

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