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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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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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: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
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
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 normally distributed for each diet.

A. I only

B. II only

C. Both I and II

D. Neither I nor II

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Follow-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

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