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 9.7 and standard deviation 2.1. For applicants who actually entered medical school, the mean score was 10.2 and the standard deviation was 1.4.

What percent of those who entered medical school had scores between 9 and 11?

Answer 1

Given the scores of all the applicants on the biological sciences of the MCAT were approximately normal distributed.

Mean score = 10.2 and standard deviation =1.4

P(9<x<11)= P(z₁ < Z < z₂)

P(9 <x< 11) =P( -0.857<Z<0.571) = P(Z<0.571)-P(Z<-0.857) = 0.7160 - 0.1957 = 0.5203

Percent of those who entered medical school had scores between 9 and 11 is 52.03%

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