A psychologist would like to examine the effects of sugar consumption on the activity level of preschool children. Three samples of children are...

A psychologist would like to examine the effects of sugar consumption on the activity level of preschool children. Three samples of children are selected with n = 5 in each sample. One group gets no sugar, one group gets a small dose, and the third group gets a large dose. The psychologist records the activity level for each child. The data from this experiment are presented below. 

                                No sugar     Small dose     Large dose    

           5                  3                   6

           3                  3                   8

           1                  7                   5     G = 60

           1                  4                   2     ΣX2 = 298

           5                  3                   4         

       T = 15         T = 20           T = 25

       SS = 16      SS = 12         SS = 20

a. Fill in the ANOVA table below:

Source   SS             df                 MS     F

Between                        

Within        

Total 

b. Do these data indicate any significant differences among the three groups? Test with α = .05.

Fcritical =      _____________

Decision = _____________

c. Compute η2 , the percentage of variance accounted for by the treatment. 

 η2  = ______________