Question content area top

Part 1

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).

LOADING...

		Regular Coke	Diet Coke
		0.81917	0.77733
		0.81496	0.77583
		0.81627	0.78963
		0.82111	0.78677
		0.81808	0.78442
		0.8247	0.78613
		0.80618	0.78063
		0.81282	0.78304
		0.81723	0.7852
		0.81102	0.78792
		0.82513	0.78811
		0.82642	0.78264
		9.81309	0.79233
			0.78517
			0.78716
			0.78133

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

C.

H0:12

H1:1>2

D.

H0:12

H1:1>2

Part 2

The test statistic is

(Round to two decimal places asneeded.)

Part 3

TheP-value is .

(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).

<12<

(Round to five decimal places asneeded.)

Part 6

c. Can you explain why cans of regular Coke would weigh more than cans of DietCoke?

A.Cans of regular Coke probably weigh more than cans of Diet Coke due to the extra metal present in a regular Coke can but not a Diet Coke can.

B.Cans of regular Coke probably weigh more than cans of Diet Coke due to Diet Coke cans being only half as large as regular Coke cans.

C.Cans of regular Coke probably weigh more than cans of Diet Coke due to the sugar present in regular Coke but not Diet Coke.

Your answer is correct.

D.There is no reason why they would have different weights.