A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.19 inch. (a) Determine the minimum sample size required to construct a 99% confidence interval for the population mean. Assume the population standard deviation is 0.5 inch. (b) The sample mean is 27.3 inches. With a sample size of 57, a 99% level of confidence, and a population standard deviation of 0.5 inch, does it seem possible that the population mean could be less than 27.4 inches? Explain.   A 90% confidence level requires a sample size of ?

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