A researcher wishes 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.
Diet A Diet B Diet C
________________________________
3 10 8
6 12 3
7 11 2
4 14 5
8
6
_________________________________
Referring to Table 5, if the researcher decided to perform an Analysis of Variance (Anova) F test, the value of the MSW is?
6.5300
8.4100
11.3230
22.6710
Referring to Table 5, if the researcher performed an Analysis of Variance (Anova) to check if there is a difference in the diets (in athletes’ weight gains), the researcher would conclude:
Reject the null hypothesis. There is a difference in the average weight gain of
athletes, following the three special diets, at a level of significance 0.05.
Do not reject the null hypothesis. There is not enough evidence to support the
claim that at least one mean weight is different from the others, at a level of significance 0.05.
The average weight gain of athletes are all significantly different at the level 0.05.
The information is not sufficient to reach a conclusion.
