Question

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
M=3 SS=16	M=4 SS=12	M=5 SS=20

1). Do these data indicate any significant differences among the three groups. Test with α = .05. Please follow the hypothesis testing process (16 points)

          2). Use Tukey HSD test with α = .05 to determine which groups are significantly different. (8 points)

The value of q can be found in the table below,

	k= number of treatment
df for Error Term	2	3	4
11	3.11	3.82	4.26
12	3.08	3.77	4.20
13	3.06	3.74	4.15
14	3.03	3.70	4.11
15	3.01	3.67	4.08

Answer 1