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). Click the icon to view the data table of can weights. a. Use a 0.10 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 alternative hypotheses? Assume that population 1 consists of regular Coke and population 2 consists of Diet Coke. A. Ho: H1 H2 H₁₁₂ OC. Ho HH2 H₁₁₂ The test statistic is 16.16. (Round to two decimal places as needed.) The P-value is 0.000. (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: H₁₂ H₁: H₁₂ OD. Ho: H1 H2 OA. Fail to 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. OB. Reject the null hypothesis. There is not 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. c. 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. OD. Fail to reject the null hypothesis. There is not 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. Construct the confidence interval appropriate for the hypothesis test in part (a). ☐ (Round to five decimal places as needed.) Can weights Regular Coke Diet Coke D 0.81917 0.77732 0.81499 0.77582 0.81625 0.78964 0.82107 0.78675 0.81806 0.78438 0.82468 0.78607 0.80620 0.78058 0.81280 0.78297 0.81723 0.78524 0.81096 0.78788 0.82505 0.78811 0.82641 0.78262 0.79230 0.78517 0.78717 0.78127

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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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).
Click the icon to view the data table of can weights.
a. Use a 0.10 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 alternative hypotheses? Assume that population 1 consists of regular Coke and population 2 consists of Diet Coke.
A. Ho: H1 H2
H₁₁₂
OC. Ho HH2
H₁₁₂
The test statistic is 16.16. (Round to two decimal places as needed.)
The P-value is 0.000. (Round to three decimal places as needed.)
State the conclusion for the test.
OB. Ho: H₁₂
H₁: H₁₂
OD. Ho: H1 H2
OA. Fail to 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.
OB. Reject the null hypothesis. There is not 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.
c. 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.
OD. Fail to reject the null hypothesis. There is not 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. Construct the confidence interval appropriate for the hypothesis test in part (a).
☐
(Round to five decimal places as needed.)
Transcribed Image Text: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). Click the icon to view the data table of can weights. a. Use a 0.10 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 alternative hypotheses? Assume that population 1 consists of regular Coke and population 2 consists of Diet Coke. A. Ho: H1 H2 H₁₁₂ OC. Ho HH2 H₁₁₂ The test statistic is 16.16. (Round to two decimal places as needed.) The P-value is 0.000. (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: H₁₂ H₁: H₁₂ OD. Ho: H1 H2 OA. Fail to 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. OB. Reject the null hypothesis. There is not 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. c. 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. OD. Fail to reject the null hypothesis. There is not 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. Construct the confidence interval appropriate for the hypothesis test in part (a). ☐ (Round to five decimal places as needed.)
Can weights
Regular Coke
Diet Coke
D
0.81917
0.77732
0.81499
0.77582
0.81625
0.78964
0.82107
0.78675
0.81806
0.78438
0.82468
0.78607
0.80620
0.78058
0.81280
0.78297
0.81723
0.78524
0.81096
0.78788
0.82505
0.78811
0.82641
0.78262
0.79230
0.78517
0.78717
0.78127
Transcribed Image Text:Can weights Regular Coke Diet Coke D 0.81917 0.77732 0.81499 0.77582 0.81625 0.78964 0.82107 0.78675 0.81806 0.78438 0.82468 0.78607 0.80620 0.78058 0.81280 0.78297 0.81723 0.78524 0.81096 0.78788 0.82505 0.78811 0.82641 0.78262 0.79230 0.78517 0.78717 0.78127
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