Question

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 0.05 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 385.575 4 96.39379 3.0367 0.018895 2.424815 Within Groups 5396.300 170 31.74294 Total 5781.875 174 Should the null hypothesis that all the diets have the same mean weight loss be rejected? A. No, because the P-value is greater than the significance level. B. No, because the P-value is less than the significance level. C. Yes, because the P-value is less than the significance level. D. Yes, because the P-value is greater than the significance level.

          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 0.05 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 385.575 4 96.39379 3.0367 0.018895 2.424815
Within Groups 5396.300 170 31.74294
Total 5781.875 174
Should the null hypothesis that all the diets have the same mean weight loss be rejected?
A. No, because the P-value is greater than the significance level.
B. No, because the P-value is less than the significance level.
C. Yes, because the P-value is less than the significance level.
D. Yes, because the P-value is greater than the significance level.

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 0.05 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 385.575 4 96.39379 3.0367 0.018895 2.424815
Within Groups 5396.300 170 31.74294
Total 5781.875 174
Should the null hypothesis that all the diets have the same mean weight loss be rejected?
A. No, because the P-value is greater than the significance level.
B. No, because the P-value is less than the significance level.
C. Yes, because the P-value is less than the significance level.
D. Yes, because the P-value is greater than the significance level.

Added by Stephen K.

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