Olympic swimmers are seeded according to their previous 12-month performances with faster swimmers going into the later heats. The last 24 swimmers, however, are distributed among the last three heats more evenly. So we should see large differences in times of heats one€“five but not among the last three heats. The data of times from heats five€“seven are in seconds for the 100m swim. NA indicates that the swimmer did not swim. Is there a statistically significant difference in the mean time of swimmers in heats 6 and 7 and the mean time of swimmers in heat 5?

Is there evidence to suggest that the means of the heats differ for slower swimmers in heat five and the faster swimmers in heat seven? What about the means of the two sets of elite swimmers in heats six and seven? Use α = 0.05.

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Time Heat Time Heat 49.02 48.67 6 49.49 5 49.18 49.6 49.2 5 49.78 5 NA 49.95 5 48.54 50.08 5 48.67 NA 48.93 NA 5 48.93 48.19 48.97 48.29 49.03 48.54 6. 49.29 48.6