A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.18 inch. (a) Determine the minimum sample size required to construct a 99% confidence interval for the population mean. Assume the population standard deviation is 0.6 inch. (b) The sample mean is 27.8 inches. With a sample size of 84, a 99% level of confidence, and a population standard deviation of 0.6 inch, does it seem possible that the population mean could be less than 27.9 inches? Explain. Click here to view page 1 of the Standard Normal Table. Click here to view page 2 of the Standard Normal Table. (a) The minimum sample size required to construct 99% confidence interval is soccer balls. (Round up to the nearest whole number.)

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