Important inferences about the class of STAT1111 can be made by inspecting the following histograms. Note the symmetry of the distribution of the Final Exam Scores. The distribution is centered on the class median.The 95% CI about the mean for the Fall 2016 Final Exam is: (78, 88). The mean and median for the Final Exam are 82 and 88. The 95% CI about the mean for the semester grades is: (86, 92). The mean and median for the semester grades are 89 and 92, respectively. The top six scores on the Final Examination are: 105 101 98 96 96 96 The top six semester scores are: 106 106 103 102 101 100
Because the quiz average, Mid-term Exam, and Final Exam carry different weights in computing the final semester grade, letter grades are not applied to them. But suppose the Final Exam were to be graded according to the STAT1111 grading scale:
A noteworthy relationship can be observed in the plot of the Semester Scores and the average Quiz score. The plot shows that a linear relationship exits between Semester Scores and the average Quiz score. We learned in STAT1111 that by means of the method of least squares, it is possible to test the hypothesis that the slope equals zero versus the alternative that it does not equal zero. The F statistic, as you might imagine, is very large. In other words, there is evidently an inherent relation between doing the quizzes well and getting a good semester grade.