In a test of weight loss programs, 240 subjects were divided such that 40 subjects followed each of 6 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 P-value 100.97810 3.1483 0.009036 2.252620 df MS F F crit 504.891 5 7505.281 8010.172 234 32.07385 239 Total Should the null hypothesis that all the diets have the same mean weight loss be rejected? O A. Yes, because the P-value is less than the significance level. O B. 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, 240 subjects were divided such that 40 subjects followed each of 6 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
F crit
2.252620
df
MS
F
P-value
504.891
100.97810 3.1483
0.009036
Between Groups
Within Groups
5
7505.281
234 32.07385
Total
8010.172
239
Should the null hypothesis that all the diets have the same mean weight loss be rejected?
A. Yes, because the P-value
less than the significance level.
O B. No, because the P-value is less than the significance level.
O C. No, because the P-value is greater than the significance level.
O D. Yes, because the P-value is greater than the significance level.
Transcribed Image Text:In a test of weight loss programs, 240 subjects were divided such that 40 subjects followed each of 6 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 F crit 2.252620 df MS F P-value 504.891 100.97810 3.1483 0.009036 Between Groups Within Groups 5 7505.281 234 32.07385 Total 8010.172 239 Should the null hypothesis that all the diets have the same mean weight loss be rejected? A. Yes, because the P-value less than the significance level. O B. No, because the P-value is less than the significance level. O C. 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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