A class has 2n (a large number) students. The students are separated into two groups A and B, each with n students. Group A students take exam A and earn iid scores X1,..., Xn. Group B students take exam B, earning iid scores Y1,..., Yn. The two exams are similar but different; however, the exams were designed so that a student's score X on exam A or Y on exam B have the same expected value and variance σ2 = 100. For each exam, we form the sample mean statistic

Based on the statistic D = MA - MB, use the central limit theorem to design a significance test at significance level α = 0.05 for the hypothesis H0 that a student's score on the two exams has the same expected value μ and variance σ2 = 100. What is the rejection region if n = 100? Make sure to specify any additional assumptions that you need to make; however, try to make as few additional assumptions as possible.

Ma= 72