A new teaching method for a calculus class is being evaluated. A set of 80 students is formed into 40 pairs, where the two-pair members have roughly equal mathematics test scores. The pairs are then randomly split.
With one member being assigned to section A where the standard teaching method is used and with one member being assigned to section B where the new teaching method is tried. At the end of the course all the students take the same exam and their scores are shown in DS 9.2.4. Analyze the data and present your conclusions regarding how the new teaching method compares with the standard approach. Why is this a paired experiment? Why was it decided to perform a paired experiment rather than an unpaired experiment?