10.150 [EX10-150] A group of 17 students participated in an evaluation of a special training session that claimed to improve memory. The students were randomly assigned to two groups:

group A, the test group, and group B, the control group. All 17 students were tested for the ability to remember certain material. Group A was given the special training; group B was not. After 1 month, both groups were tested again, with the results as shown in the following table. Do these data support the alternative hypothesis that the special training is effective at the   0.01 level of significance?

Assume normality.

Group A Students Group B Students Time of Test 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Before 23 22 20 21 23 18 17 20 23 22 20 23 17 21 19 20 20 After 28 29 26 23 31 25 22 26 26 23 25 26 18 21 17 18 20