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.
a. Do these data indicate any significant differences among the three groups? Test with
α = .05 Conduct a one way ANOVA.

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.
a. Do these data indicate any significant differences among the three groups? Test with
α = .05 Conduct a one way ANOVA.

anonymous · Answer

No Sugar      Small dose       Large dose 
    5                    3                    6 
    3                    3                    8
    1                    7                    5
    1                    4                    2
    5                    3                    4
T= 15              T=20              T=25
SS=16              SS=12             SS=20      G=60 
                                                              EX^2=298

anonymous · Answer

Here are the results of my test:
Source:     DF:  SS:    MS:   Test Stat, F:  Critical F:  P-Value:  
Treatment:  2    10,00  5,00  1,25           3,88529      0,321277  
Error:      12   48,00  4,00                                        
Total:      14   58,00    

as P-value>0.05 indicates there is no sufficient evidence to warrant rejection of the null hypothesis that the means are equal