Question: A quality control engineer is interested in the mean length of sheet insulation being cut automatically by machine. The desired mean length of the insulation

A quality control engineer is interested in the mean length of sheet insulation being cut automatically by machine. The desired mean length of the insulation is 15 feet. It is known that the standard deviation in the cutting length is 0.2 feet. A sample of 60 cut sheets yields a mean length of 15.14 feet. This sample will be used to obtain a 99% confidence interval for the mean length cut by machine. Suppose the engineer had decided to estimate the mean length to within 0.05 with 99% confidence. Then the sample size would be

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