the soda is summarized to the right. Assume that the two samples are indepe 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. ... A b. Construct a confidence interval appropriate for the hypothesis test in part (a). P n lb ₁-₂ lb (Round to three decimal places as needed.) Does the confidence interval support the conclusion found with the hypothesis test? X S 11 35 0.79738 lb 0.00438 lb 12 35 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. 0.81839 lb 0.00741 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
icon
Related questions
Question
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: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.
←
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.
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.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman