The following are the numbers of defective parts produced in a shift by 10 workers before and after going through a very rigorous training program:
Worker 1 2 3 4 5 6 7 8 9 10
Before 15 12 16 14 18 12 13 17 10 16
After 8 5 10 5 14 4 6 6 3 12
Assuming normality:
a) Do these data provide sufficient evidence to indicate that the the training program was effective? Use alpha=0.05
b) Find the p-value for the test.