Acknowledgments
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Recall that when deciding whether to reject or fail to reject the null hypothesis, you must determine a significance level that corresponds to  . Thus, if , you reject the null hypothesis. In this case, a test with a significance of .10 requires that . Therefore, since 14.0309 is greater than 4.605, we reject the null hypothesis which assumes that this distribution is normal. Since the test statistic was considerably higher than any of the  values, I am confident that the distribution of Stetson baseball players’ grade point averages is not normal. However, it appears that the sample of grade point averages is approximately a uniform distribution. The high standard deviation has spread the data to where there is no significant peak around the mean.
CHAPTER 5 CONCLUSIONS
After doing some preliminary analysis, I understand that this may not be feasible. Therefore, I am also interested in examining any correlations between the various variables and being able to create regression models to describe the correlation. I also plan to compare variable averages among different sports and among males and females. In order to do this comparing of means, analysis of variance is needed. The analysis of variance uses hypothesis testing to compare the means of at least two normal distributions. It is a method that I plan to study further in the fall. REFERENCES [1] M. H. DeGroot and M. J. Schervish, Probability and Statistics: Third Edition. Addison Wesley, Boston, MA, 2002. [2] J. L. Devore, Probability and Statistics for Engineering and the Sciences: Sixth Edition. Thomson Learning, Inc, Belmont, CA, 2004. [3] R. V. Hogg and E. A. Tanis, Probability and Statistical Inference: Sixth Edition. Prentice Hall, Upper Saddle River, NJ, 2001. [4] I. Miller and M. Miller, John E. Freund’s Mathematical Statistics with Applications: Seventh Edition. Pearson Prentice Hall, Upper Saddle River, NJ, 2004. [5] The Normal Distribution, April 5, 2005. http://www.stat.yale.edu/Courses/1997-98/101/normal.htm [6] “Normal Distribution,” Wikipedia, March 31, 2005. April 5, 2005. http://en.wikipedia.org/wiki/Normal_distribution [7] Student-Athlete Handbook 2004-2005, February 6, 2005. http://www.stetson.edu/athletics/home/extras/handbook.pdf [8] Stetson University Bulletin Archives, March 30, 2005. http://www.stetson.edu/other/bulletin/archives.php BIOGRAPHICAL SKETCH April Coates is a junior at Stetson University. She is majoring in mathematics with a minor education. Her activities here at Stetson include Delta Kappa Pi, the QED math club, Fellowship of Christian Athletes, Resident Assistant, Teacher’s Assistant, math tutoring, and intramurals. She enjoys working out, playing sports, going to the beach, and taking road trips. Upon graduation, she is undecided between attending graduate school and starting a career as a teacher. Download 3.57 Mb. Share with your friends:
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