3. The commissioner of major league baseball would like to estimate the diameter of baseballs that are used in major league play. The manufacturer has specified that the baseballs should have a population mean diameter of 7.30 inches and a standard deviation of 0.04 inches. A random sample of 25 baseballs selected from a shipment indicates a sample average of 7.31 inches. Set up a 95% confidence interval estimate of the true average diameter of the baseballs in this shipment.

1. What if the confidence interval was changed to 99%, would the confidence interval change and if so, how?
2. What if the sample size were increased to 100, would the confidence interval change and if so, how?

What would be the best way to reduce the confidence interval? Discuss.