Please help me with the solution to the problem

A soccer ball manufacturer wants to estimate the mean circumference of minisoccer balls within 0.05 inch. Assume the population of circumferences is normally distributed. (a) Determine the minimum sample size required to construct a 90% condence interval for the population mean. Assume the population standard deviation is 0.25 inch. (b) Repeat part (a) using a population standard deviation of 0.35 inch. (c) Which standard deviation requires a larger sample size? Explain. (a) The minimum sample size with a population standard deviation of 0.25 inch is balls. (Round up to the nearest integer.) (b) The minimum sample size with a population standard deviation of 0.35 inch is balls. (Round up to the nearest integer.) (c}A population standard deviation of Y inch requires a larger sample size because greater variability in the population requires a sample size to ensure the desired accuracy