Almost all medical schools in the United States require applicants to take the M

Question

Almost all medical schools in the United States require applicants to take the Medical College Admission Test (MCAT). On one exam the scores of all applicants on the biological sciences part of the MCAT were approximately Normal with mean 9.3 and standard deviation 2.3 for applicants who actually entered medical school, the mean score was 10.2 and the standard deviation was 1.5 What percent of all applicants has scores higher than 13? What percent of those who entered medical school has scores between 8 and 12?

Explanation / Answer

a) P(X>13)=1-P(X<13)=

use NORMDIST(13,9.3,2.3,true) in excel

P(X>13)=1-0.9461=0.0538

So 5.384%

b) P(8<x<12)= NORMDIST(12,10.2,1.5,TRUE) -NORMDIST(8,10.2,1.5,TRUE)

=0.88493-0.071233=0.81369

So 81.39%

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