Question

Natalie wants to go to graduate school, so she has to take the GRE (a standardized test). The average GRE score is 303 with a standard deviation of 8.5. She knows that she must score in the top 2.5% to even be considered at an Ivy League university. Her non-Ivy universities of choice will consider students in the top 16%. Draw the distribution and label the cut-scores of each university type. What score must she surpass to be considered by each?

Answer 1

The population information of the GRE score is

for Ivy League university:

Let X be the score above which lies 2.5% of the population data

finding the Z critical value for 0.025

hence the cut score is 319.66

for non-ivy universities:

Let X be the score above which lies 16% of the population data

finding the Z critical value for 0.16

hence the cut score is 311.45