ata on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple andom samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Compiete parts (a) and (b) below. Use a 0.05 significance level for Diet Regular P2 oth parts. 26 0.78370 0.81002 ib 0.00434 0.00745b Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? OB. Ho P "P2 OA. Ho P1= P2 H H 2 OD. Ho P2 OC. Ho: H =P2 The test statistic, t is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. e mean weights that are lower than the mean weight for the regular soda OA. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is not sufficient evidence to support the olaim that the cans of diet soda have OC. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lowerhan the mean weight for the reguiar soda tare lower than the mean weight for the regular soda OG Fail to reject the null hypothesis. There is not sufficient evidence to support the claim hat the cans of diet soda have mean weghts b. Construct a confidence interval appropriate for the hypothesis test in part (a) (Round to three decimal places as needed.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple
random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for
both parts.
Diet
Regular
26
0.78379 lb
0.81002 ib
0.00434 b
0.00745 ib
a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda.
What are the null and alternative hypotheses?
O A. Ho: H1 = p2
H: H1 H2
OB. Ho P 2
H: 2
O C. Ho: H 2
H1: 41 <H2
OD. Ho *2
H: H2
The test statistic, t, is (Round to two decimal places as needed.)
The P-value is (Round to three decimal places as needed.)
State the conclusion for the test.
OB. Reject the null hypothesis. There is not sufficient evidence to support the olaim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.
O C. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda
O Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.
O A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.
b. Construct a confidence interval appropriate for the hypothesis test in part (a).
(Round to three decimal places as needed.
Transcribed Image Text:Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Diet Regular 26 0.78379 lb 0.81002 ib 0.00434 b 0.00745 ib a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? O A. Ho: H1 = p2 H: H1 H2 OB. Ho P 2 H: 2 O C. Ho: H 2 H1: 41 <H2 OD. Ho *2 H: H2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. OB. Reject the null hypothesis. There is not sufficient evidence to support the olaim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. O C. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda O Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. O A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. b. Construct a confidence interval appropriate for the hypothesis test in part (a). (Round to three decimal places as needed.
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