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 108​, 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 12. ​(c) Construct a 90​% 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?

Answer 1

Explanation:

A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x​, is found to be 108​, 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 12. ​(c) Construct a 90​% 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?