Question

A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x overbar​, is found to be 107​, 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 18. ​

(b) Construct a 96​% confidence interval about mu if the sample​ size, n, is 22. ​

(c) Construct a 98​% 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?

Answer 1