Question

In the table, below, the number of correctly remembered words are listed for both tests (see #1, above). Based on these results, calculate the appropriate test for these data (assume a = .05) to determine if the memory enhancement training program produces better recall. Be sure to state the calculated and critical values of the statistic for this test. Would you reject or fail to reject the null hypothesis in this situation? Why? Show your work and include all formulas that you're using!

Student; Score 1; Score 2

1; 24 ; 26

2 ; 17; 24

3 ; 32 ; 31

4 ; 14 ; 17

5 ; 16 ; 17

6 ; 22 ; 25

7 ; 26 ; 25

8 ; 19; 24

9 ; 19 ; 22

10 ; 22; 23

11 ; 21; 26

12 ; 25; 28

13; 16 ; 19

14 ; 24 ; 23

15 ; 18 ; 22

Answer 1

Let us denote the difference

d = score before - score after

To test whether if the memory enhancement training program produces better recall,

Conclusion in problem context :

There is sufficient evidence to support the claim that  the memory enhancement training program produces better recall.