In a test of weight loss programs, 200 subjects were divided such that 40 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 MS F P-value F crit 0.004046 2.852020 Between Groups Within Groups Total df 523.501 4 130.87535 3.9688 6430.330 195 32.97605 6953.831 199 ... Should the null hypothesis that all the diets have the same mean weight loss be rejected? OA. Yes, because the P-value is less than the significance level. OB. No, because the P-value is less than the significance level. OC. No, because the P-value is greater than the significance level. O D. Yes, because the P-value is greater than the significance level.

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In a test of weight loss programs, 200 subjects were divided such that 40 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
df
MS
F
P-value
F crit
2.852020
Between Groups
SS
523.501
6430.330
6953.831
Within Groups
4 130.87535 3.9688 0.004046
195 32.97605
199
Total
Should the null hypothesis that all the diets have the same mean weight loss be rejected?
OA. Yes, because the P-value is less than the significance level.
OB. No, because the P-value is less than the significance level.
OC. No, because the P-value is greater than the significance level.
OD. Yes, because the P-value is greater than the significance level.
Transcribed Image Text:In a test of weight loss programs, 200 subjects were divided such that 40 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 df MS F P-value F crit 2.852020 Between Groups SS 523.501 6430.330 6953.831 Within Groups 4 130.87535 3.9688 0.004046 195 32.97605 199 Total Should the null hypothesis that all the diets have the same mean weight loss be rejected? OA. Yes, because the P-value is less than the significance level. OB. No, because the P-value is less than the significance level. OC. No, because the P-value is greater than the significance level. OD. Yes, because the P-value is greater than the significance level.
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