MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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5

Can weights
Regular Coke
0.81917
Diet Coke
0.77726
0.77576
0.78956
0.81495
0.81627
0.82111
0.81808
0.78681
0.78436
0.82471
0.80623
0.78611
0.78058
0.78301
0.81278
0.81720
0.78522
0.78786
0.81098
0.82514
0.82642
0.78805
0.78256
0.79232
0.78519
0.78718
0.78132
Listed in the accompanying table are weights (Ib) 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).
E Click the icon to view the data table of can weights.
a. Use a 0.05 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.
O A. Ho: H1 SH2
O B. Ho: H1 = 42
H: H1 > H2
O D. Ho H1 *H2
OC. Ho H1 = H2
대< H H
The test statistic is O (Round to two decimal places as needed.)
The P-value is (Round to three decimal places as needed)
State the conclusion for the test.
expand button
Transcribed Image Text:Can weights Regular Coke 0.81917 Diet Coke 0.77726 0.77576 0.78956 0.81495 0.81627 0.82111 0.81808 0.78681 0.78436 0.82471 0.80623 0.78611 0.78058 0.78301 0.81278 0.81720 0.78522 0.78786 0.81098 0.82514 0.82642 0.78805 0.78256 0.79232 0.78519 0.78718 0.78132 Listed in the accompanying table are weights (Ib) 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). E Click the icon to view the data table of can weights. a. Use a 0.05 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. O A. Ho: H1 SH2 O B. Ho: H1 = 42 H: H1 > H2 O D. Ho H1 *H2 OC. Ho H1 = H2 대< H H The test statistic is O (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed) State the conclusion for the test.
O A. 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
O 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.
OC. 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.
O D. 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.)
c. Can you explain why cans of regular Coke would weigh more than cans of Diet Coke?
O A. 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.
O B. 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.
Oc. Cans of regular Coke probably weigh more than cans of Diet Coke due to the sugar present in regular Coke but
not Diet Coke.
O D. There is no reason why they would have different weights.
expand button
Transcribed Image Text:O A. 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 O 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. OC. 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. O D. 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.) c. Can you explain why cans of regular Coke would weigh more than cans of Diet Coke? O A. 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. O B. 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. Oc. Cans of regular Coke probably weigh more than cans of Diet Coke due to the sugar present in regular Coke but not Diet Coke. O D. There is no reason why they would have different weights.
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