The mathematics portion of GRE as well as GMAT exams is approximately normally distributed. In current years, GRE mathematics exam scores have averaged 555 with standard deviation 90. The average as well as standard deviation for GMAT mathematics scores is 40 and 9, respectively.
a) A business school sets 690 as the minimum GRE math score for new students. What percentage of students will be denied admission based on this criterion alone? Please include how to find phi via non-graphing calculator (e.g. the answer is 1-P(690
b) What score should the business school set as a comparable standard on the GMAT math test? (again please include the determination of the error function / phi without using a graphing calculator)