MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text: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 0.01 significance level for both parts.
P
n
b. Construct a confidence interval appropriate for the hypothesis test in part (a).
1014-₂01 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
14
35
0.79738 lb
0.00438 lb
Regular
1/2
35
0.81839 lb
0.00741 lb
O D. 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.
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.
(Round to two decimal places as needed.)
The P-value is (Round to three decimal places as needed.)
State the conclusion for the test.
The test statistic, t, is
C
μ
n
X
S
Diet
14
35
0.79738 lb
0.00438 lb
Regular
1/2
35
0.81839 lb
0.00741 lb
OA. 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. 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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