A developmental psychologist is examining problem solving ability for grade school children. Random samples of 5-year-old, 6-year-old, and 7-year-old children are obtained. Each child is given a standardized problem solving task, and the psychologist records the number of errors. Test whether there are any significant differences among the three age groups; use the .05 level of significance. If significant, use the Protected t-test to determine which groups are different. In addition to the above instructions, present the results of your calculations in an ANOVA Summary Table.

The data are as follows:

5-year-olds: 5, 4, 6 M=5 SS=2

6-year-olds: 6, 4, 2 M=4 SS=8

7-year-olds: 0, 1, 2 M=1 SS=2