.(20 points) A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.1 inch. (a) Determine the minimum sample size required to construct a 95% confidence

interval for the population mean. Assume the population standard deviation is 0.25 inch. (c) Which standard deviation requires a larger sample size? Explain. (b) Repeat part (a) using a population standard deviation of 0.3 inch.