Question

You have been hired as an admissions evaluator for a large national university. Their guidelines state that students who scored in the top 10.2% of test takers on either test, based on their composite score, should be automatically passed to the next step for being considered for admission. Additionally, any student scoring in the top 4.09% in Math or English on either test also gets automatically passed to the next step. Because you have taken statistics, your supervisor has asked you to write up a set of guidelines that other evaluators will use to quickly look at hundreds of applications to determine if they automatically get moved along in the process.

Answer 1

P(z<Z) table :

for composite scores :

top 10.2% : P(z>Z) = 0.102

P(z<Z) = 1-0.102 = 0.898

find z form the table :

z = 1.27

therefore,

for composite score the student's score must be atleast 1.27 standard deviatons more than the mean score

for Math or English scores on either test :

top 4.09% : P(z>Z) = 0.0409

P(z<Z) = 1-0.0409 = 0.9591

find z form the table :

z = 1.74

therefore,

for Math or English scores on either test the student's score must be atleast 1.74 standard deviatons more than the mean score

Guidelines that evaluators use to quickly look at applications : 1. For composite score the student's score must be atleast 1.27 standard deviatons more than the mean score 2. For Math or English scores on either test the student's score must be atleast 1.74 standard deviatons more than the mean score

(please UPVOTE)