A simple random sample of size n is drawn from a population that is normally distributed. The samplemean, x overbar , is found to be 114, and the sample standarddeviation, s, is found to be 10.

(a) Construct a 90% confidence interval about if the samplesize, n, is 15. round one decimal place

(b) Construct a 90% confidence interval about if the samplesize, n, is 20.

(c) Construct a 96% confidence interval about if the samplesize, n, is 15

(d) Could we have computed the confidence intervals in parts(a)-(c) if the population had not been normallydistributed?