In: Statistics and Probability
2. Downs & Abwender (2002) evaluated soccer players and swimmers to determine whether routine blows to the head experienced by soccer players produced long-term neurological deficits. Neurological tests were administered to mature soccer players and swimmers, see the following data: Swimmers: 10, 8, 7, 9, 13, 7 Soccer Players: 7, 4, 9, 3, 7, 6
Perform the appropriate test by hand and evaluate if neurological test scores were significantly different between the soccer players and the swimmers.
First we need to find the mean and SD of data:. Following table shows the calculations:
X1 | (X1-mean)^2 | X2 | (X2-mean)^2 | |
10 | 1 | 7 | 1 | |
8 | 1 | 4 | 4 | |
7 | 4 | 9 | 9 | |
9 | 0 | 3 | 9 | |
13 | 16 | 7 | 1 | |
7 | 4 | 6 | 0 | |
Total | 54 | 26 | 36 | 24 |
Sample size
Mean:
Standard deviation:
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Conclusion: We can conclude that neurological test scores were significantly different between the soccer players and the swimmers.