Part 1 of 6

A simple random sample of size n is drawn from a population that is normally distributed. The samplemean, x, is found to be 115, and the sample standarddeviation, s, is found to be 10.

(a) Construct an 80% confidence interval about if the samplesize, n, is 16.

(b) Construct an 80% confidence interval about if the samplesize, n, is 24.

(c) Construct a 95% confidence interval about if the samplesize, n, is 16.

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

view the table of areas under thet-distribution.