The samples we used were males and females from the North Olmsted track teams.  We obtained the samples by randomly selecting ten female athletes and eight male athletes.  We selected more females than males because the girl’s track team is larger than the boy’s track team; the girl’s track team has 74 athletes and the boy’s track team has 48 athletes.

            To obtain the random samples, we entered the name of each athlete into a spread sheet for each team.  We then assigned a number to each name.  To get the names of the athletes we would survey, we randomly selected ten names for the female team and eight names for the male team.  We then asked each person what their GPA is, with assurances that it is an anonymous survey to reduce response bias.  We did not hand out a survey, after we obtained the names of the athletes we were going to survey we went up to them ourselves and asked them the question.

       The Girl's track team had a mean of 3.05 with a standard deviation of 0.756.  The sample size was ten and we got a p-value of 0.649 for a normality test.  The Boy's track team had a mean of 3.38 with a standard deviation of 0.756.  The sample size was eight and the p-value was 0.719 for a normality  test.  We found that the results are normally distributed.