The waiting times (in minutes) of a random sample of
22
people at a bank have a sample standard deviation of
4.4
minutes. Construct a confidence interval for the population variance
sigma squared
and the population standard deviation
sigma.
Use a
99 %
level of confidence. Assume the sample is from a normally distributed population.
Question content area bottom
Part 1
What is the confidence interval for the population variance
sigma squared?
(enter your response here,enter your response here)
(Round to one decimal place as needed.)
Part 2
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
less
than
enter your response here.
B.
With
1%
confidence, you can say that the population variance is
greater
than
enter your response here.
C.
With
1%
confidence, you can say that the population variance is between
enter your response here
and
enter your response here.
D.
With
99 %
confidence, you can say that the population variance is between
enter your response here
and
enter your response here.
Part 3
What is the confidence interval for the population standard deviation
sigma?
(enter your response here,enter your response here)
(Round to one decimal place as needed.)
Part 4
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
enter your response here
and
enter your response here
minutes.
B.
With
1%
confidence, you can say that the population standard deviation is
less
than
enter your response here
minutes.
C.
With
99%
confidence, you can say that the population standard deviation is
greater
than
enter your response here
minutes.
D.
With
1%
confidence, you can say that the population standard deviation is between
enter your response here
minutes and
enter your response here
minutes.