a simple random sample of size n is drawn from a population that is normally distributed. the sample​ mean, ​, is found to be ​, and the sample standard​ deviation, s, is found to be . ​(a) construct ​% confidence interval about if the sample​ size, n, is . ​(b) construct ​% confidence interval about if the sample​ size, n, is . ​(c) construct ​% confidence interval about if the sample​ size, n, is . ​(d) could we have computed the confidence intervals in parts​ (a)-(c) if the population had not been normally​ distributed?