In a test ot weight loss programs, 160 subjects were divided such that 40 subjec

Question

In a test ot weight loss programs, 160 subjects were divided such that 40 subjects followed each of 4 diets. Each was weighed a year after s significance level to test the claim that the mean weight loss is the same for the different diets. Source of Variation Between Groups F P-value F Within Groups 435.743 3 145.24772 46248 0003967 2662569 4899.378 156 31.40627 Total 5335.121 159 Should the null hypothesis that all the diets have the same mean weight loss be rejected? O A. No, 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. Yes, because the P-value is less than the significance level. O D. Yes, because the P-value is greater than the significance level Click to select your answer

Explanation / Answer

Answer

C. Yes, beacuse the P-value is less than the significance level.

Explanation:

Signficance level, = 0.05

Decision rule: Reject the null hypothesis, if the p-value is less than the significance level 0.05.

Here p-value = 0.003967

Clearly the p-value is less than 0.05. Hence we reject the null hypothesis.

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