A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 111, and the sample standard deviation, s, is found to be 8. (a) Construct a 99% confidence interval about y if the sample size, n, is 26. (b) Construct a 99% confidence interval about y if the sample size, n, is 17. (c) Construct a 98% confidence interval about y if the sample size, n, is 26. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed