Does the life-extending drug to seem to have an effect, or do all three groups h

Question

Does the life-extending drug to seem to have an effect, or do all three groups have the same distribution? Perform the appropriate ANOVA test, and choose the value closest to the value of the F statistic:

A. 0.12

B. 4

C. 9

D. 18

E. 157.5

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

for above test:

here test stat F =18.065

hence option D is correct

i ni Xi Si^2 ni*(Xi- grand mean)^2 (ni-1)*Si^2 HFD 106 94.6793 471.650 5165.990 49523.230 HFD-L 106 98.8962 512.837 809.925 53847.863 HFD-H 106 111.4057 347.632 10066.912 36501.391 Weighted mean 101.660 16042.828 139872.483 SSG SSE Source of variation SS df MS F treatment 16042.828 2 8021.414 18.065 error 139872.483 315 444.040 total 155915.311 317

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