3. A sports gambler has potentially found a winning strategy to pick racehorses. He thinks that the starting position that a horse begins a race affects its finishing time. He ranks the most recent times of 17 different horses (lower ranks = faster times) and groups them based on their starting position on the track (inside, middle, or outside). Conduct a Kruskal-Wallis test (a = .05) on the data below to determine whether starting position affects the finishing times of the racehorses.

Inside Middle Outside

5 13 2

4 10 12

6 16 7

1 15 17

8 11 9

3 14

No use of excel please. Avoid handwritten explanations and show all calculations.