K 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. J n X S Diet 14 33 0.78375 lb 0.00445 lb Regular 1/₂ 33 0.81257 lb 0.00747 lb 4 OA. 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. OB. 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 moan wainht for the ranular enda
K 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. J n X S Diet 14 33 0.78375 lb 0.00445 lb Regular 1/₂ 33 0.81257 lb 0.00747 lb 4 OA. 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. OB. 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 moan wainht for the ranular enda
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:list
1
on 2
on 3
ion 4
K
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.)
(Round to three decimal places as needed.)
The P-value is
State the conclusion for the test.
C
μ
n
X
S
Diet
14
33
0.78375 lb
0.00445 lb
Regular
1₂
33
0.81257 lb
0.00747 lb
4
OA. 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.
OB. 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 moan wainht for the regular enda
Transcribed Image Text:list
11
n 2
(1
on 3
on 4
K
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.
cixs
Diet
141
33
0.78375 lb
0.00445 lb
Regular
1₂
33
0.81257 lb
0.00747 lb
D. Reject the nui nypoiesis. There is not suicient evidence to support the claim that the cars oi diel soua nave mean weignis inal are lower than me
mean weight for the regular soda.
b. Construct a confidence interval appropriate for the hypothesis test in part (a).
Ib<H₁-H₂<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
4
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