A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.15 inch. ​(a) Determine the minimum sample size required to construct a 99​% confidence interval for the...

A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within

inch.

​(a) Determine the minimum sample size required to construct a

confidence interval for the population mean. Assume the population standard deviation is

inch.

​(b) The sample mean is

inches. With a sample size of

a

level of​ confidence, and a population standard deviation of

​inch, does it seem possible that the population mean could be less than

​inches? Explain.