Data on the weights (lb) 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. OD. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet H n X S Diet H₁ 37 0.78901 lb 0.00432 lb Regular 12 37 0.80854 lb 0.00752 lb
Data on the weights (lb) 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. OD. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet H n X S Diet H₁ 37 0.78901 lb 0.00432 lb Regular 12 37 0.80854 lb 0.00752 lb
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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Data on the weights (lb) 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.
O
H
n
10-11-1₂
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
X
S
Diet
14₁
37
0.78901 lb
0.00432 lb
Regular
1/2
37
0.80854 lb
0.00752 lb
OD. 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).
Transcribed Image Text:O
O
Data on the weights (lb) 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.
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.
H
n
X
S
Diet
11
37
0.78901 lb
0.00432 lb
Regular
12
37
0.80854 lb
0.00752 lb
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.
OB. 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. 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
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