In a test of weight loss programs, 111 subjects were divided such that 37 subjects followed each of 3 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 Between Groups Within Groups Total df F F crit P-value 2 25.38918 0.8127 0.446353 3.080387 MS 50.778 3373.977 108 31.24053 3424.755 110 Should the null hypothesis that all the diets have the same mean weight loss be rejected? O A. Yes, because the P-value is greater than the significance level. O B. No, because the P-value is greater than the significance level. OC. No, because the P-value is less than the significance level. O D. Yes, because the P-value is less than the significance level.

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In a test of weight loss programs, 111 subjects were divided such that 37 subjects followed each of 3 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
Between Groups
Within Groups
Total
P-value
25.38918 0.8127 0.446353
F crit
3.080387
df
MS
F
50.778
3373.977
3424.755
2
108 31.24053
110
Should the null hypothesis that all the diets have the same mean weight loss be rejected?
O A. Yes, because the P-value is greater than the significance level.
O B. No, because the P-value is greater than the significance level.
OC. No, because the P-value is less than the significance level.
O D. Yes, because the P-value is less than the significance level.
Transcribed Image Text:In a test of weight loss programs, 111 subjects were divided such that 37 subjects followed each of 3 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 Between Groups Within Groups Total P-value 25.38918 0.8127 0.446353 F crit 3.080387 df MS F 50.778 3373.977 3424.755 2 108 31.24053 110 Should the null hypothesis that all the diets have the same mean weight loss be rejected? O A. Yes, because the P-value is greater than the significance level. O B. No, because the P-value is greater than the significance level. OC. No, because the P-value is less than the significance level. O D. Yes, because the P-value is less than the significance level.
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