Listed in the accompanying table are weights(lb) of samples of the contents of cans of regular Coke and Diet Coke. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts(a) to(c).

Regular Coke	Diet Coke
0.81921	0.77729
0.81496	0.77576
0.81627	0.78962
0.82112	0.78675
0.81807	0.7844
0.82472	0.7861
0.80618	0.78059
0.81277	0.78298
0.8172	0.78515
0.81104	0.78789
0.82507	0.78812
0.82641	0.78262
	0.79225
	0.78516
	0.78722
	0.78132

Click the icon to view the data table of can weights.

Question content area bottom

Part 1

a. Use a

0.01

significance level to test the claim that the contents of cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.

What are the null and alternativehypotheses? Assume that population 1 consists of regular Coke and population 2 consists of Diet Coke.

A.

H0:

1=2

H1:

12

B.

H0:

1=2

H1:

1>2

Your answer is correct.

C.

H0:

12

H1:

1>2

D.

H0:

12

H1:

1>2

Part 2

The test statistic is

16.08(Round to two decimal places asneeded.)

Part 3

TheP-value is

00.

(Round to three decimal places asneeded.)

Part 4

State the conclusion for the test.

A.

Reject

the null hypothesis. There

isnot

sufficient evidence to support the claim that cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.

B.

Reject

the null hypothesis. There

is

sufficient evidence to support the claim that cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.

Your answer is correct.

C.

Failtoreject

the null hypothesis. There

is

sufficient evidence to support the claim that cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.

D.

Failtoreject

the null hypothesis. There

isnot

sufficient evidence to support the claim that cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.

Part 5

b. Construct the confidence interval appropriate for the hypothesis test in part(a).

enter your response here<12

(Round to five decimal places asneeded.)