randomly select and measure the contents of

10

bottles of cough syrup. The results (in fluid ounces) are shown to the right.

4.211	4.294	4.253	4.248	4.184
4.213	4.268	4.242	4.229	4.234

Assume the sample is taken from a normally distributed population. Construct

95%

confidence intervals for (a) the population variance

2

and (b) the population standard deviation

.

Interpret the results.

Question content area bottom

Part 1

(a) The confidence interval for the population variance is

(enter your response here,enter your response here).

(Round to six decimal places 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 six decimal place as needed.)

A.

With

95%

confidence, it can be said that the population variance is

less

than

enter your response here.

B.

With

95%

confidence, it can be said that the population variance is

betweenenter your response here

and

enter your response here.

C.

With

5%

confidence, it can be said that the population variance is between

enter your response here

and

enter your response here.

D.

With

5%

confidence, it can be said that the population variance is

greater

than

enter your response here.

Part 3

(b) The confidence interval for the population standard deviation is

(enter your response here,enter your response here).

(Round to four decimal places 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 four decimal place as needed.)

A.

With

5%

confidence, you can say that the population standard deviation is

less

than

enter your response here

inches.

B.

With

5%

confidence, you can say that the population standard deviation is between

enter your response here

and

enter your response here

inches.

C.

With

95%

confidence, you can say that the population standard deviation is

greater

than

enter your response here

inches.

D.

With

95%

confidence, you can say that the population standard deviation is between

enter your response here

and

enter your response here

inches.