The waiting times (in minutes) of a random sample of 22 people at a bank have a sample standard deviation of 4.6 minutes. Construct a confidence interval for the population variance $\sigma^2$ and the population standard deviation $\sigma$. Use a 95% 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.)
O A. With 95% confidence, you can say that the population variance is between
and
O B. With 5% confidence, you can say that the population variance is greater than
O C. With 5% confidence, you can say that the population variance is less than
O D. With 95% confidence, you can say that the population variance is between
and
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.)
O A. With 5% confidence, you can say that the population standard deviation is less than
minutes.
O B. With 95% confidence, you can say that the population standard deviation is between
and
minutes.
O C. With 5% confidence, you can say that the population standard deviation is greater than
minutes.
O D. With 95% confidence, you can say that the population standard deviation is between
and
minutes.