Important inferences about the class of STAT1051 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 Spring 2019 Final Exam is: (78, 84). The mean and median for the Final Exam are 81 and 84. The 95% CI about the mean for the semester grades is: (85, 90). The mean and median for the semester grades are 88 and 89, respectively. The top six scores on the Final Examination are: 100 99 98 97 97 96 The top six semester scores are: 104 103 103 102 101 99Because 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 STAT1051 grading scale:

then the grades in the histogram of the Final Exam Scores can serve as a simple though biased indication of how well one did on the Final Exam in terms of a letter grade.

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 STAT1051 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. In fact, the relation is so strong that it can be exhibited on the first day of class to convince everyone in STAT1051 of the importance of doing the homework from which the quizzes are derived. Notice that, from the equation of the fitted least squares line, one can reckon a semester grade given the current average quiz score.