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AP Statistics Project

AP Statistics Project. Question. Are boys in Lincoln faster at running the 100 meter dash than boys in Omaha?. Data. Gathered times from random meets between the years 2004 and 2012 Boys 100 M dash 30 Lincoln runners times 30 Omaha runners times. Conditions.

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AP Statistics Project

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Presentation Transcript

  1. AP Statistics Project

  2. Question • Are boys in Lincoln faster at running the 100 meter dash than boys in Omaha?

  3. Data • Gathered times from random meets between the years 2004 and 2012 • Boys 100 M dash • 30 Lincoln runners times • 30 Omaha runners times

  4. Conditions • Independent- Runners times are independent of one another • Random- Random meets from the last 8 years • 10% Condition- 30 is less than 10% of all runners • Group Independence- Lincoln and Omaha are independent of one another

  5. Nearly Normal

  6. Nearly Normal OmahaTimes- Boys 100 M

  7. Hypothesis • HO: µL-µO = 0 No difference in runners times • HA: : µL-µO > 0 Omaha runners are faster

  8. Mechanics • 2 Sample T- Test Inpt: data List1:L1 List2:L2 Freq1:1 Freq2:1 µ1 >µ2 Pooled: No • t=3.117 • p=.00142 • df=57078

  9. Conclusion • Due to low p-value, we reject the null. • Given that there is no difference between Lincoln and Omaha’s times, .142% of the time Lincoln will be slower due to natural variability. • Evidence suggests that Lincoln times are slower than Omaha times in the boys 100 m.

  10. Mechanics • 2 Sample T-Interval Inpt: data List1:L1 List2:L2 Freq1:1 Freq2:1 C-Level:.95 Pooled:No • (.0567, .260) • df=57.78

  11. Conclusion • We are 95% confident that the average runners times are between 5.67% and 26% slower.

  12. Bibliography • Isite.lps.org

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