2. A psychologist is examining the educational advantages of a preschool program. A sample of 24 grade 4 children is obtained. Half of these children had attended preschool and the others had not. The psychologist records the scholastic achievement score for each child and obtained the following data:
Preschool.
9 7 7
8 6 9
9 7 8
6 8 9
No Preschool
5 8 6
7 5 6
7 5 5
7 8 5
Do these data indicate that participation in a preschool program gives children a significant advantage in scholastic achievement? Test with α = .01.
Show all your work. Full marks will not be given unless all steps and all calculations are shown. For all hypothesis tests, include all steps. Remember to provide concluding statements in the proper format.
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