A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 108, and the sample standard deviation, s, is found to be 12.
(a) Construct a 96% confidence interval about p if the sample size, n, is 27.
(b) Construct a 96% confidence interval about u if the sample size, n, is 15.
(c) Construct a 90% confidence interval about p if the sample size, n, is 27.
(d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not
been normally distributed?