Example 2 in this Chapter tested whether the average fat lost from 1 year of die

Question

Example 2 in this Chapter tested whether the average fat lost from 1 year of dieting versus 1 year of exercise could be equivalent. The study also measured lean body weight (muscle) lost or gained If muscle weight change is compared for men who diet only and men who exercise would only, would we have reason to set up a one-sided or two-sided test? The p-value for the one-sided test is 0.004. What would it have been for a two-sided test? Is there evidence that men who exercise only don't lose as much muscle weight? Answer yes or no.

Explanation / Answer

1) 2-sided test .since we want to check if there is difference in muscle weight change ,

it is bidirectional , hence 2-sided

2) p-value for 1-sided test= 0.004

for 2 -side test p-value is 2 times = 2*0.004 = 0.008

3)since p-value is less than alpha = 0.01 or 0.05

we reject the null hypothesis

so yes .

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