Does the life-extending drug affect average lifetime? Which difference(s) in pop

Question

Does the life-extending drug affect average lifetime? Which difference(s) in population means is/are statistically significant?

A. Mean for HFD is statistically significantly lower than HFD-L, and mean for HFD-L is statistically significantly lower than mean for HFD-H

B. Mean for HFD is not statistically significantly lower than HFD-L, but mean for HFD-L is statistically significantly lower than mean for HFD-H

C. Mean for HFD is statistically significantly lower than HFD-L, but mean for HFD-L is not statistically significantly lower than mean for HFD-H

D. Mean for HFD is not statistically significantly lower than HFD-L and mean for HFD-L is not statistically significantly lower than mean for HFD-H, but mean for HFD is statistically significantly lower than mean for HFD-H

E. Mean for HFD is not statistically significantly lower than HFD-L and mean for HFD-L is not statistically significantly lower than mean for HFD-H, and mean for HFD is not statistically significantly lower than mean for HFD-H: all three are indistinguishable

n a 2011 study, 318 mice were divided at random and placed into one of three groups HFD: fed a high-fat diet with no amount of a proposed life-extending drug HFD-L: fed a high-fat diet mixed with a "low" dose of a proposed life-extending drug HFD-H: fed a high-fat diet mixed with a "high" dose of a proposed life-extending drug The lifetime of each mouse (in days) was recorded. The results were as follows: HFD: n 106, average lifetime-94.6793 days, SD 21.7175 days HFD-L: n 106, average lifetime- days 98.8962 days, SD = 22.6459 = .HFD-H: n 106, average lifetime 111.4057 days, SD 18.6449 days

Explanation / Answer

C. Mean for HFD is statistically significantly lower than HFD-L, but mean for HFD-L is not statistically significantly lower than mean for HFD-H

option c is correct

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