A simple random sample of size n is drawn from a population thatis normally distributed. The sample​ mean, x overbar​, is found tobe 109​, and the sample standard​ deviation, s, is found to be10.
​(a) Construct a 98​% confidence interval about mu if thesample​ size, n, is 18.
​(b) Construct a 98​% confidence interval about mu if thesample​ size, n, is 25. ​
(c) Construct a 99​% confidence interval about mu if the sample​size, n, is 18.
​(d) Could we have computed the confidence intervals in parts​(a)-(c) if the population had not been normally​ distributed?