Data on the rate at which a volatile liquid will spread across asurface are in the table. Complete parts a through

c.

Time? (minutes)		Mass? (Pounds)
0		6.73
2		5.97
4		5.44
6		4.98
8		4.51
10		3.93
12		3.56
14		3.06
16		2.87
18		2.42
20		2.21
25		1.47
30		1.02
45		0.12
60		0.00

a. Find a 99%confidence interval for the mean mass of all spillswith an elapsed time of 34 minutes. Interpret the result.

What is the confidence? interval?

(____________, _____________),

?(Round to three decimal places as? needed.)

Interpret the result. Choose the correct answer below.

A.We are 99% confident that the interval will contain the meanmass of the spill after

34 minutes.

B.We are 99?% confident that the interval will contain 34

minutes.

C.We are 99% confident that the interval will not contain themean mass of the spill at 34 minutes.

D.We are 99?% confident that the interval will contain the meanmass of the spill before 34 minutes has passed

.b. Find a 99% prediction interval for the mass of a singlespill with an elapsed time of 34 minutes. Interpret the result.

What is the prediction? interval?

(__________ ,_________ )

?(Round to three decimal places as? needed.)

Interpret the result. Choose the correct answer below.

A.We are 99?% confident that the interval will not contain themass of the spill after 34 minutes.

B.We are 99?% confident that the interval will contain the massof the spill before 34 minutes has passed.

C.We are 99?% confident that the interval will contain the massof the spill after 34 minutes.

D.We are 99?% confident that the interval will contain 34minutes

.c. Compare the? intervals, parts a and

b. Which interval is? wider? Will this always be the? case?Explain. Fill in the blanks below.The

?

(confidence, prediction)

interval is wider. This

(will not,will)

always be the case because the error of this interval is

.random error.

twice the error of the other interval.

half the error of the other interval.

the sum of two errors.