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 0.01 significance level for both parts. --- lb

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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9.2 Q5
←
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 0.01 significance level for both parts.
Diet
Regular
H1
1₂
33
33
X 0.78026 lb 0.80919 lb
S 0.00448 lb 0.00757 lb
μ
n
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.
b. Construct a confidence interval appropriate for the hypothesis test in part (a).
Ib<H₁-H₂<lb
(Round to three decimal places as needed.)
4
Transcribed Image Text:← 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 0.01 significance level for both parts. Diet Regular H1 1₂ 33 33 X 0.78026 lb 0.80919 lb S 0.00448 lb 0.00757 lb μ n 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. b. Construct a confidence interval appropriate for the hypothesis test in part (a). Ib<H₁-H₂<lb (Round to three decimal places as needed.) 4
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