A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 113, and the sample standard deviation, s, is found to be 10.
(a) Construct a 96% confidence interval about p if the sample size, n, is 12.
(b) Construct a 96% confidence interval about j if the sample size, n, is 24.
(c) Construct a 98% confidence interval about j if the sample size, n, is 12.
(d) Could we have tomputed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?