Assuming normality, solve Prob. 6 by a suitable test.

Data from Prob. 6

Thirty new employees were grouped into 15 pairs of similar intelligence and experience and were then instructed in data processing by an old method (A) applied to one (randomly selected) person of each pair, and by a new presumably better method (B) applied to the other person of each pair. Test for equality of methods against the alternative that (B) is better than (A), using the following scores obtained after the end of the training period.

A 60 70 80 85 75 40 70 45 95 80 90 60 80 75 65 B 65 85 85 80 95 65 100 60 90 85 100 75 90 60 80