The diameter of a certain shaft is normally distributed with a mean expected to be 2.79 cm and a standard deviation of 0.01 cm. The specification limits are 2.77 ± 0.03. a) If 1000 shafts are produced, how many can we expect will be unacceptable? b) If the sample mean for 1000 shafts is 2.786 cm, what are the 99% confidence limits for the true mean diameter? c) What is the probability that a single diameter measurement will deviate from the true mean by at least 0.02 cm? d) Estimate the required size

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