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 106​, 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 11. ​(b) Construct a 96​% confidence interval about mu if the sample​ size, n, is 24. ​(c) Construct a 99​% confidence interval about mu if the sample​ size, n, is 11. ​(d) Could we have computed the confidence intervals in parts​ (a)-(c) if the population had not been normally​ distributed? LOADING... Click the icon to view the table of areas under the​ t-distribution. ​(a) Construct a 96​% confidence interval about mu if the sample​ size, n, is 11. Lower​ bound: nothing​; Upper​ bound: nothing ​(Use ascending order. Round to one decimal place as​ needed.) ​(b) Construct a 96​% confidence interval about mu if the sample​ size, n, is 24. Lower​ bound: nothing​; Upper​ bound: nothing ​(Use ascending order. Round to one decimal place as​ needed.) How does increasing the sample size affect the margin of​ error, E?

Answer 1