Erin wants to know if warming up will help runners sprint faster. Twenty-six track and field athletes volunteered to participate in her study. She randomly assigns 13 athletes to warm-up for 10 minutes. All 26 participants sprint the same distance. She calculates the mean for each group and determines that the mean for the warm-up group was 10.9 seconds, and the mean for the other group was 12.9 seconds. To test the difference of means she re-randomized the data 54 times, and the differences are plotted in the dot plot below. What can Erin conclude from her study?
The difference in the means is not significant because a difference of 2 is not very likely. The difference in the means is not significant because a difference of 2 is very likely. The difference in the means is significant because a difference of 2 is very likely. The difference in the means is significant because a difference of 2 is not very likely.
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