The waiting times (in minutes) of a random sample of 20 people at a bank have a sample standard deviation of 3.1 minutes. Construct a confidence interval for the population variance $\sigma^2$ and the population standard deviation $\sigma$. Use a 99% level of confidence. Assume the sample is from a normally distributed population.
What is the confidence interval for the population variance $\sigma^2$?
(Round to one decimal place as needed.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to one decimal place as needed.)
A. With 99% confidence, you can say that the population variance is between $\square$ and $\square$.
B. With 1% confidence, you can say that the population variance is between $\square$ and $\square$.
C. With 99% confidence, you can say that the population variance is greater than $\square$.
D. With 1% confidence, you can say that the population variance is less than $\square$.
What is the confidence interval for the population standard deviation $\sigma$?
(Round to one decimal place as needed.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to one decimal place as needed.)
A. With 99% confidence, you can say that the population standard deviation is between $\square$ and $\square$.
B. With 99% confidence, you can say that the population standard deviation is less than $\square$.