Carter wants to know if warming up will help runners sprint faster. Thirty track and field athletes volunteered to participate in his study. He randomly assigns 15 athletes to warm-up for 10 minutes. All 30 participants sprint the same distance. She calculates the mean for each group and determines that the mean for the warm-up group was 10.7 seconds and the mean for the other group was 11.7 seconds. To test the difference of means, he re-randomized the data 220 times and the differences are plotted in the dot plot below. What can Carter conclude from his study?
Choices 1) The difference in the means is significant because a difference of 1 is very likely. 2) The difference in the means is significant because a difference of 1 is not very likely. 3) The difference in the means is not significant because a difference of 1 is very likely. 4) The difference in the means is not significant because a difference of 1 is not very likely.
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