Question: For Exercise 12 on page 634, test the significant difference between the sample means of Diet A, Diet B and Diet C.

(HINT: Start with H₀ :

H₁ : At least one of means is different (claim)

Now test, since the p-value on the printout is less than α = 0.05 you reject the null hypothesis. Then use Scheffé test critical value= (k-1)C.V. where C.V is the critical value to be found using α, dfN and dfD from Table H, to determine exactly between which means there is a significant difference. Example 12-3 gives you a hint).

A researcher wished to see whether there is any difference in the weight gains of athletes following one of three special diets. Athletes are randomly assigned to three groups and placed on the diet for 6 weeks. The weight gains (in pounds) are shown here. At a=0.05,m can the researcher conclude theat there is a difference in the diets?

Diet A Diet B Diet C