A student from region A scored 400 on a standardized math test with a mean of 350 and a standard deviation of 35. A student from region B scored 67 on a standardized math test with a mean of 62 and a standard deviation of 5. Both are being considered for a scholarship at the same university. a) How can the university decide which candidate is the better student? b) What assumptions must the university make? c) Apply the method in part a), and determine which candidate is the better student. Give a reason for your