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 = 6 in each sample. One group gets no...

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 = 6 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.

a.  Clearly state the findings of your analysis.  Report p-value.

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

c.  Test for the homogeneity of variance assumption.

No sugar      Small dose      Large dose

5                   7                    5

3                   3                    8

6                   6                    7     G = 93

5                   7                    6     ΣX² = 535

2                   6                    7

3                   4                    3

T = 24          T = 33         T =?

SS = 12        SS = 13.5     SS =?