Answer to Question #57326 in Statistics and Probability for Bob

Question

Test scores of ten individuals before and after a training program are shown below.

Individual - Score After Program - Score Before Program
1 - 57 - 59
2 - 62 - 57
3 - 60 - 60
4 - 63 - 66
5 - 69 - 68
6 - 63 - 59
7 - 74 - 72
8 - 56 - 52
9 - 64 - 58
10 - 64 - 63

What is the sum of positive signed ranks (T+)?

The mean µT is?

The value of σT is?

At α = 0.05, what can be concluded about the effectiveness of the training program?

At α = 0.2, what can be concluded about the effectiveness of the training program?