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 H2 27 0.80737 Ib 0.00751 Ib 27 0.78717 Ib 0.00435 lb O A. Ho: H1* H2 O B. Ho: H1 = H2 H: H1 H2 O D. 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. 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. Fail to reiect the null hvnothesis There is not sufficient evidence to sunnort the claim that the cans of diet soda have mean weinhts that are Inwer than the mean weinht for the reaular 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 H2 27 0.80737 Ib 0.00751 Ib 27 0.78717 Ib 0.00435 lb O A. Ho: H1* H2 O B. Ho: H1 = H2 H: H1 H2 O D. 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. 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. Fail to reiect the null hvnothesis There is not sufficient evidence to sunnort the claim that the cans of diet soda have mean weinhts that are Inwer than the mean weinht for the reaular soda
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
H2
27
27
0.78717 Ib
0.00435 Ib
0.80737 Ib
0.00751 Ib
O A. Ho: H1* H2
O B. Ho: H1 = H2
OC. Ho: H1 = H2
O D. Ho: H1 = H2
H1: H1> H2
Zt > TH : TH
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 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.
Fail to reiect the null hynothesis There is not sufficient evidence to sunnort the claim that the cans of diet soda have mean weights that are lower than the mean weinht for the reqular soda
Transcribed Image Text:b. Construct a confidence interval appropriate for the hypothesis test in part (a).
| Ib<µ1 - H2 <D lb
(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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