A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, ​x-bar, is found to be 110​, and the sample standard​ deviation, s, is found to be 10. (a) Construct a 96​% confidence interval about μ if the sample​ size, n, is 17.
(b) Construct a 96​% confidence interval about μ if the sample​ size, n, is 28.
​(c) Construct a ​98% confidence interval about μ if the sample​ size, n, is 17.
​(d) Could we have computed the confidence intervals in parts​ (a)-(c) if the population had not been normally​ distributed?