In a test of weight loss programs, 186 subjects were divided such that 31 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 0.025 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 MS F crit P-value 1.5004 0.191842 2.637633 F 255.292 5 6125.386 6380.678 51.05849 180 34.02992 185 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 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 less than the significance level.

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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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In a test of weight loss programs, 186 subjects were divided such that 31 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 0.025 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 F crit
df
51.05849
180 34.02992
185
MS
255.292
6125.386
6380,678
5
1.5004 0.191842 2.637633
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 greater 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 less than the significance level.
Transcribed Image Text:In a test of weight loss programs, 186 subjects were divided such that 31 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 0.025 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 F crit df 51.05849 180 34.02992 185 MS 255.292 6125.386 6380,678 5 1.5004 0.191842 2.637633 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 greater 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 less than the significance level.
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