Question

Cal Tech Engineering School only considers students in the top 12.5% based on their quantitative GRE scores. The national average GRE score for the quantitative portion for all students taking the exam between July 1, 2001 and June 30, 2004 is 597 with a standard deviation of 148. Assume that GRE scores are normally distributed. What score would a student need to be considered for Cal Tech Engineering School?

Answer 1

Z socre for 12.5% in excel is

=NORM.S.INV(0.125)

=-1.15034938

since its top 12.5%

z=1.15034938

z=x-mean/standard dev

x=z*standard dev+mean

x=1.15034938*148+597

= 767.2517

=767.25

use belwo R code to get curve

library(tigerstats)
qnormGC(0.125,region="above",mean=597,sd=148,graph=TRUE)

score would a student need to be considered for Cal Tech Engineering School is 767.25