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One of the events at the 2022 Winter Olympic Games was the Skeleton. In this sport, athletes slide down a 1615 m frozen track lying

One of the events at the 2022 Winter Olympic Games was the Skeleton. In this sport, athletes slide down a 1615 m frozen track lying face down and head-first on a sled. In the competition, each athlete completes 4 separate runs called heats. The final scores are the sum of all 4 heat times. A sports science research team was interested in determining whether there is a significant mean difference in run time (seconds) between the 4 different heats. To answer this question, they recorded the run times of 15 athletes across all 4 of their competition heats. Use the data below to answer this research question at the 5% level of significance.

Athelete Heat1 (seconds) Heat2 (Seconds) Heat3 (seconds) Heat4 (seconds)
ID 1 60.369 60.072 59.992 59.873
ID 2 60.23 59.7 59.81 59.197
ID 3 60.531 60.347 59.95 59.431
ID 4 60.227 60.12 60.062 59.337
ID 5 59.901 59.432 60.044 59.781
ID 6 59.792 60.307 60.071 59.849
ID 7 59.886 59.845 60.057 60.008
ID 8 61.045 60.064 60.271 59.988
ID 9 60.633 60.278 59.445 60.334
ID 10 60.075 60.565 59.831 60.971
ID 11 60.403 60.079 60.193 60.195
ID 12 60.404 59.488 60.283 60.697
ID 13 60.452 60.064 59.647 60.263
ID 14 60.297 59.989 59.791 59.454
ID 15 59.972 60.163 59.758 60.494

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