Your GPA and Detentions

Abstract

The study began with a question. We wanted to know if there is a difference between boys and girls GPA as well as in school discipline (measured by number of detentions per month). We used a class roster and minitab to randomly select 100 boys and 100 girls for the study. The large sample size was used to create replication which would help get rid of unwanted bias. After randomly sampling through minitab with a random number generator surveys where sent out to the students. We received the surveys back, and put the numbers into minitab. We performed two two sample T tests to see if there was a difference between the mean GPA for boys and girls and the mean number of detentions received by boys and girls. We checked if the assumptions where met, and we found that we were. Our sample size was over 30 so the central limit theorem applies. Also the two samples are independent, a person being a boy does not affect another person being a girl. Upon doing both tests we found that the P value was much larger than alpha. For aplha we selected .05. We failed to reject the null hypothesis in both cases. Because we failed to reject in both cases we found that there is not sufficient evidence to say that the mean number of detentions and the mean GPA is different for boys and girls.