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In a test of weight loss programs, 144 subjects were divided such that 36 subjec

ID: 3255354 • Letter: I

Question

In a test of weight loss programs, 144 subjects were divided such that 36 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. 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. B. Yes, because the P-value is less than the significance level. C. Yes, because the P-value is greater than the significance level. D. No, because the P-value is greater than the significance level.

Explanation / Answer

Null hypothesis is rejected when p value < significant level OR test statistics value > Critical value.

Here p value > significant level , AND

F test statistics value < F critical value.

So we cannot reject null hypothesis.

Option D) is correct.

No, because the P-value is greater than significant level.

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