In a test of weight loss programs, 175 subjects were divided such that 35subjects followed each of 5 diets. Each was weighed a year after starting the diet and the results are in the ANOVA table below. Use a 0.025significance level to test the claim that the mean weight loss is the same for the different diets.Source of VariationSSdfMSFP-valueF critBetween Groups466.5634116.640723.75180.0059492.861906Within Groups5285.17617031.08927 Total5751.739174 Should the null hypothesis that all the diets have the same mean weight loss be rejected? A.Yes,because the P-value isgreater thanthe significance level. B.No,because the P-value isless thanthe significance level. C.Yes,because the P-value isless thanthe significance level. D.No,because the P-value isgreater thanthe significance level.

Given, Level of significance = 0.025 p-value = 0.005949

Answered: In a test of weight loss programs, 175…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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In a test of weight loss programs, 175 subjects were divided such that 35
subjects followed each of 5 diets. Each was weighed a year after starting the diet and the results are in the ANOVA table below. Use a 0.025
significance level to test the claim that the mean weight loss is the same for the different diets.

Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	466.563	4	116.64072	3.7518	0.005949	2.861906
Within Groups	5285.176	170	31.08927
Total	5751.739	174

Should the null hypothesis that all the diets have the same mean weight loss be rejected?

Yes,

because the P-value is

greater than

the significance level.

No,

because the P-value is

less than

the significance level.

Yes,

because the P-value is

less than

the significance level.

No,

because the P-value is

greater than

the significance level.

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