A simple random sample of size n is drawn from a population thatis normally distributed. The sample​ mean, x overbar​, is found tobe 115​, and the sample standard​ deviation, s, is found to be 10.​(a) Construct a 96​% confidence interval about mu if the sample​size, n, is 12. ​(b) Construct a 96​% confidence interval about muif the sample​ size, n, is 21. ​(c) Construct a 98​% confidenceinterval about mu if the sample​ size, n, is 12. ​(d) Could we havecomputed the confidence intervals in parts​ (a)-(c) if thepopulation had not been normally​ distributed?
