Question

A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x​, is found to be 110​, and the sample standard​ deviation, s, is found to be 10. ​

(a) Construct a 98​% confidence interval about mu if the sample​ size, n, is 23.

(Use ascending order. Round to one decimal place as​ needed.)

Lower​ bound: ____

​Upper​ bound:____

​(b) Construct a 98​% confidence interval about mu if the sample​ size, n, is 16.

Lower​ bound: ____

​Upper​ bound:____

​(c) Construct a 96​% confidence interval about mu if the sample​ size, n, is 23. ​

Lower​ bound: ____

​Upper​ bound:____

(d) Could we have computed the confidence intervals in parts​ (a)-(c) if the population had not been normally​ distributed? ​

Answer 1