Question

Problem (ii): 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 have a normal distribution. What score would a student need to be considered for Cal Tech Engineering School? (1 point) Problem (iii): A community college has a math placement exam that has a normal distribution. Find the proportion of students who have a score within 1.3 standard deviations of the mean score of the math placement exam. (1 point)

Answer 1

Problem (ii)

Mean=597, standard deviation= 148

We x such that P(Score>x) = 0.125

X value for the given probability= NORM.INV(1-0.125,597,148)= 767.2517

The score required = 767.2517

Problem (iii)

Proportion of students with score within 1.3 standard deviations of the mean score=

P(-1.3<Z<1.3)= P(Z<1.3)- P(Z<-1.3)

= NORM.S.DIST(1.3,TRUE)-NORM.S.DIST(-1.3,TRUE)

= 0.9032- 0.0968= 0.8064