A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, , is found to be 115, and the sample standard deviation, s, is found to be 10 (a) Construct a 96% confidence interval about y if the sample size, n, is 22. (b) Construct a 96% confidence interval about u if the sample size, n, is 14. (c) Construct a 95% confidence interval about u if the sample size, n, is 22. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed