Question

As part of a​ survey, a marketing representative asks a random sample of 28 business owners how much they would be willing to pay for a website for their company. She finds that the sample standard deviation is ​$3300. Assume the sample is taken from a normally distributed population. Construct 99​% confidence intervals for​ (a) the population variance and​ (b) the population standard deviation σ. Interpret the results.

​(a) The confidence interval for the population variance is. ​(Round to the nearest integer as​ needed.)

Interpret the results. Select the correct choice below and fill in the answer​ box(es) to complete your choice.

​(Round to the nearest integer as​ needed.)

A.With 99​% ​confidence, you can say that the population variance is greater

than   .

B.With 1​% ​confidence, you can say that the population variance is between   and .

C.With 99​% ​confidence, you can say that the population variance is between   and   .

D.With 1​% ​confidence, you can say that the population variance is less than .

​(b) The confidence interval for the population standard deviation is . ​(Round to the nearest integer as​ needed.)

Interpret the results. Select the correct choice below and fill in the answer​ box(es) to complete your choice. ​(Round to the nearest integer as​ needed.)

A.With 99​% confidence, you can say that the population standard deviation is less than $ .

B.With 1​% confidence, you can say that the population standard deviation is greater than $.

C.With 99​% confidence, you can say that the population standard deviation is between ​$ and ​$ .

D.With 1​% ​confidence, you can say that the population standard deviation is between ​$ and ​$ .

Answer 1

the confidence interval for the population variance is

answer with steps given below