A simple random sample of size n is drawn from a population thatis normally distributed. The sample​ mean, x overbar​, is found tobe 112​, and the sample standard​ deviation, s, is found to be 10.​(a) Construct a 95​% confidence interval about mu if the sample​size, n, is 23. ​(b) Construct a 95​% confidence interval about muif the sample​ size, n, is 16. ​(c) Construct a 90​% confidenceinterval about mu if the sample​ size, n, is 23. ​(d) Could we havecomputed the confidence intervals in parts​ (a)-(c) if thepopulation had not been normally​ distributed?
