Downs and Abwender (2002) evaluated soccer players and swimmers to determine whether the routine blows to the head experienced by soccer players produced long-term neurological deficits. In the study, neurological tests were administered to mature soccer players and swimmers and the results indicated significant differences. In a similar study, a researcher obtained the following data.
Swimmers __________ Soccer players
10 ................................. 7
8 ................................... 4
7 ................................... 9
9 ................................... 3
13 .................................. 7
7 ....................................
6 ....................................
12 ...................................
a. Are the neurological test scores significantly lower for the soccer players than for the swimmers in the control group? Use a one-tailed test with α = .05.
b. Compute the value of r2 (percentage of variance accounted for) for these data.