3. The School of Graduate Studies is troubled by our failure to reject the null hypothesis in the previous question . It believes that the population mean score for math grad students on this quiz is 2 points higher than that of 4th-year math majors. It points to the difference in our sample mean scores being greater than 2. (a) Assuming that the SGS is correct, compute the power of our test. (b) What number of students from each group should be randomly asked to write the quiz to give our test a power of 75%