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. 33 0.78446 Ib 0.00434 Ib H2 33 0.81653 lb 0.00742 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? OA. Họ: H "2 O B. Ho: H1 =2 OC. Hg: H =H2 OD. Hg: H *H2 The test statistic, t, is O (Round to two decimal places as needed.) The P-value is O. (Round to three decimal places as needed.) State the conclusion for the test. O A. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean waights that are lower than the mean weight for the regular soda. O B. 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. OC. 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 D. 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.
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. 33 0.78446 Ib 0.00434 Ib H2 33 0.81653 lb 0.00742 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? OA. Họ: H "2 O B. Ho: H1 =2 OC. Hg: H =H2 OD. Hg: H *H2 The test statistic, t, is O (Round to two decimal places as needed.) The P-value is O. (Round to three decimal places as needed.) State the conclusion for the test. O A. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean waights that are lower than the mean weight for the regular soda. O B. 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. OC. 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 D. 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.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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
x
0.78446 Ilb
0.81653 lb
0.00434 Ib
0.00742 Ib
a. Test the claim that the contents of cans of diet soda have weights with a mean that
less than the mean for the regular soda.
What are the null and alternative hypotheses?
O A. Ho: H1 = H2
H,: H <H2
O B. Họ: H1 = H2
H,: H, H2
OC. Ho: H1 =H2
H: H1 >H2
O D. Ho: H, H2
H: 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. Reject the null hypothesis. There is sufficient evidence
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. 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.
OC. Fail to reject the null hypothesis. There
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. 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.
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