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 (assuming normality):
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
a) Do these date provide sufficient evidence to indicate that the training program was effective? Use aplha = 0.05.
b) Find the p-value for the test.