A trainer designed a new training program for building muscle strength and increase the underlying strength and power qualities in elite athletes in an attempt to improve athletic performance. Twenty athletes were randomly selected and they were divided into 10 pairs, each pair having equal personal strength. One member of each pair was randomly selected to receive the new muscle-strength training. Then all of the athletes were given a test to measure their muscle strength

(1-10 RM). Test results are summarized as follows:

Pair 1 2 3 4 5 6 7 8 9 10 With Training 6 5 7 5 9 6 4 4 7 9 Without Training 4 5 6 3 7 5 5 4 6 8 Pair 11 12 13 14 15 16 17 18 19 20 With Training 8 7 5 6 4 7 9 10 7 5 Without Training 7 8 6 6 3 6 8 9 8 5 At a 5% significance level, can the trainer conclude that there is a difference in the average muscle strength between the athletes with or without the training?

Comment on your findings.