Question: A high school offers two identical math classes at 1pm, taught by two different teachers (Mr. A and Mr. B). The class material (lecture notes, study aids, test questions, etc) are identical for the two sections of the course. The students were assigned to these two classes randomly, and the students’ grades are normally distributed. The high school principal is interested in testing the consistency of the grading performed by each teacher. She collects the marks recorded for the class midterm, and discovers that in Mr. A’s class of 31 students, the average grade was 68% and the standard deviation was 16%. In Mr. B’s class of 30 students, the average grade was 70% with a standard deviation of 14%. Conduct a hypothesis test (α = 0.05) to determine if there is a significant difference in the variance between the grades submitted by the two teachers.