10. The appropriate p-value to know whether the mean weight loss differs among the three diets is A. 0.0129 B. 0.7671 C. 0.000716 D. 0.683
10. The appropriate p-value to know whether the mean weight loss differs among the three diets is A. 0.0129 B. 0.7671 C. 0.000716 D. 0.683
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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Question
Transcribed Image Text:For numbers 8 to 10: An experiment is conducted with 3 diets, and 4 randomly assigned subjects per diet. Weight loss (Y) is observed from pre-diet at 6 months.
Positive values of Y imply the subject has lost weight since the trial began. You are given the following data. (Note: the researcher used 5% level of significance)
diet = Diet1
Shapiro-Wilk normality test
data: weight loss
W = 0.99291, p-value = 0.9719
diet = Diet2
Kruskal-Wallis rank sum test
Shapiro-Wilk normality test
data: weight loss
W = 0.94466, p-value = 0.683
Bartlett test of homogeneity of variances
data: weight loss by diet
Bartlett's K-squared = 0.53026, df = 2, p-value = 0.7671
data: weight loss by diet
Kruskal-Wallis chi-squared = 8.7002, df = 2, p-value = 0.01291
diet = Diet3
diet
Shapiro-Wilk normality test
data: weight loss
W = 0.92708, p-value = 0.5774
Analysis of Variance Table
Response: weight loss
Df SS MS
2
Residuals 9
168
84.00
42 4.67
F value Pr(>F)
18
0.000716
Transcribed Image Text:10. The appropriate p-value to know whether the mean weight loss differs among the three diets is
A. 0.0129
B. 0.7671
C. 0.000716
D. 0.683
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Follow-up Question
Which of the following is/are TRUE at 5% level of significance?
I. We can assume independence of errors since the subjects were randomly assigned to one of the three diets.
II. We have sufficient evidence to say that the data are not
A. I only
B. II only
C. Both I and II
D. Neither I nor II
Solution
by Bartleby ExpertFollow-up Question
In testing whether the variances among treatments are equal at 5% level of significance, we have _____ evidence to say that the variances are NOT equal (p-value= _____).
A. suffcient, 0.01291
B. sufficient, 0.000716
C. insufficient, 0.53026
D. insufficient, 0.7671
Solution
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