A tennis ball manufacturer wants to estimate the mean circumference of tennis balls within 0.05 inch. Assume

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A tennis ball manufacturer wants to estimate the mean circumference of tennis balls within 0.05 inch. Assume the population of circumferences is normally distributed. 

(a) Determine the minimum sample size required to construct a 99% confidence interval for the population mean. Assume the population standard deviation is 0.10 inch.

(b) The sample mean is 8.3 inches. With a sample size of 34, a 99% level of confidence, and a population standard deviation of 0.10 inch, does it seem possible that the population mean could be exactly 8.258 inches? Explain.

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