(A.) 100 students are enrolled in a science class. The average score on the common final exam is 80%, with a standard deviation of 10 percentage points. Using what you know about the class size and the value of the standard deviation, calculate the standard error associated with the 80% mean final score, averaged across the 100 students (you will need to use your answer to part (A) at least once in later parts of this question, so if you do not know how to calculate it, look back through the lecture notes before answering this problem).
(B.) The next year, 100 new students are randomly assigned to one of two teaching methods (the traditional method vs. a new method), with 50 students in each group. The study seeks to test whether a new method significantly improves student scores vs. the standard version of the course. What are the null and alternative hypotheses for this study?
(C.) You take the mean in each group, and calculate the difference in student scores between the two groups. What is the standard error of this difference between the two means?