In a test of weight loss programs, 124 subjects were divided such that 31 subjec

Question

In a test of weight loss programs, 124 subjects were divided such that 31 subjects followed each of 4 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 F Pvalu F 227.191 3 75.73019 2.2917 0.081630 2.680168 3965.450 120 33.04542 4192.641 123 Should the null hypothesis that all the diets have the same mean weight loss be rejected? A. No, because the P-value is less than the significance level. O B. No, because the P-value is greater than the significance level. ° C. Yes, because the P-value is less than the significance level. O D. Yes, because the P-value is greater than the significance level.

Explanation / Answer

As the p-value here is 0.081630 > 0.05 which is the level of significance, therefore the test is insignificant here and we cannot reject the null hypothesis here.

Therefore No, because the p-value is greater than the significance level.

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