Diet Regular 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 0.01 significance level for both parts. H2 26 26 0.78133 lb 0.80017 Ib 0.00438 Ib 0.00747 lb 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 B. Ho H1 = H2 H, H> H2 O A. Ho: H1 =H2 O D. Ho H1 =H2 O C. Ho H1 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. O A. 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

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Diet
Regular
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 0.01
significance level for both parts.
H2
26
26
0.80017 Ib
0.78133 lb
0.00438 lb
0.00747 lb
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 B. Ho H1 = H2
H, H> H2
O A. Ho: H1 =H2
O D. Ho: H1 =H2
OC. Ho H1 #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.
O A. 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.
(?
Transcribed Image Text:Diet Regular 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 0.01 significance level for both parts. H2 26 26 0.80017 Ib 0.78133 lb 0.00438 lb 0.00747 lb 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 B. Ho H1 = H2 H, H> H2 O A. Ho: H1 =H2 O D. Ho: H1 =H2 OC. Ho H1 #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. O A. 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. (?
Regular
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 0.01
significance level for both parts.
Diet
26
0.80017 lb
0.00747 lb
26
0.78133 lb
X
0.00438 Ib
O A. 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 B. 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.
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 D. 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.
b. Construct a confidence interval appropriate for the hypothesis test in part (a).
(Round to three decimal places as needed.)
Does the confidence interval support the conclusion found with the hypothesis test?
because the confidence interval contains
Transcribed Image Text:Regular 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 0.01 significance level for both parts. Diet 26 0.80017 lb 0.00747 lb 26 0.78133 lb X 0.00438 Ib O A. 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 B. 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. 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 D. 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. b. Construct a confidence interval appropriate for the hypothesis test in part (a). (Round to three decimal places as needed.) Does the confidence interval support the conclusion found with the hypothesis test? because the confidence interval contains
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