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Statistics Project - Ghsa Sports

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Conclusion

INTRODUCTION

This project was a statistical study to determine whether there was an association between the amounts of participation in GHSA sports and if they had an effect on a student’s weighted grade point average. To attain this information we formulated Non-biased questions regarding the amount of sports the student played and the student’s current cumulative grade point average. The questions we asked the students was to list their year of schooling, the amount of GHSA sports they participate in, and their weighted grade point average on the sliding 4.0 scale. Sports in this study was simply defined as any activity that is permissible by the Georgia High School Sports Association (GHSA) standards and holds championships for said event. Grade point average was calculated using the traditional sliding 4.0 scale with weighted values. Weighted values are simply adjusted grades using five and ten point increments based on the rigor of the course. Teachers in Ola High School were then randomly assigned values 1-50, and our Ti-84 selected 10 classrooms randomly from 1-50. All data collection was done during the fourth period block to ensure that a student was not sampled more than once. The sample size created from our stratified random sample was 171 students. The inference test we used to formulate our answer is a Chi-Square association test or more formally known a Chi-Square test for independence.

Hypothesis

Ho: There is no association between the levels of GHSA sports participation and a student’s weighted grade point average.

Ha: There is an association between the levels of GHSA sports participation and a student’s weighted grade point average.

Conditions

All conditions necessary to perform a Chi-Square test of independence were met. Randomness was met when

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