The Study

Our study was established to answer the questions:

We obtained our samples by census of the runners in North Olmsted High School Track team for both males and females.  We defined runners as all athletes excluding field athletes (in order to avoid influential outliers). The sample included 30 males and 36 females.  The population of interest was the Northeast Ohio High School Track team runners.  Because our study only required measurements and time records, we did not use a survey.

To analyze the relationship between height and time for a 400 meter sprint, we used a model utility test for simple linear regression.

 

High School Boys Track Team

Ho: B = 0

Ha: B ≠ 0

α = 0.05

Because the sample was 30, the Central Limit theorem applies and the distribution can be assumed to be normal.  Our sample was a convenient sample of all Northeast Ohio High School Boys Track Team runners.  The High School Boys Track Team runners were the representative sample.

T = -0.317

p-value with 28 degrees of freedom = 0.75359

Because the p-value is less than alpha, we cannot reject H-knot at the 0.05 level of significance.  Thus there is insufficient evidence that there is a useful relationship between height and time for a 400 meter sprint for runners on the boys North Olmsted High School Track Team.

 

High School Girls Track Team

Ho: B = 0

Ha: B ≠ 0

α = 0.05

Because the sample was 36, the Central Limit theorem applies and the distribution can be assumed to be normal.  Our sample was a convenient sample of all Northeast Ohio High School Girls Track Team runners.  The High School Girls Track Team runners were the representative sample.

T = 0.34398

p-value with 34 degrees of freedom = 0.73298

Because the p-value is less than alpha, we cannot reject H-knot at the 0.05 level of significance.  Thus there is insufficient evidence that there is a useful relationship between height and time for a 400 meter sprint for runners on the girls North Olmsted High School Track Team.