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? -2.5 -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 O The difference in the means is not significant because a difference of 2 is not very likely. O The difference in the means is not significant because a difference of 2 is very likely. O The difference in the means is significant because a difference of 2 is very likely. O The difference in the means is significant because a difference of 2 is not very likely.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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?
-2.5 -2.0 -1.5 -1.0 -0.5
0.0
0.5
1.0
1.5
2.0
O The difference in the means is not significant because a difference of 2 is not very likely.
O The difference the means is not significant because a difference of 2 is very likely.
O The difference the means is significant because difference of 2 is very likely.
O The difference in the means is significant because a difference of 2 is not very likely.
Transcribed Image Text: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? -2.5 -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 O The difference in the means is not significant because a difference of 2 is not very likely. O The difference the means is not significant because a difference of 2 is very likely. O The difference the means is significant because difference of 2 is very likely. O The difference in the means is significant because a difference of 2 is not very likely.
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