A large number of applicants for admission to graduate study in business are given an aptitude test. Scores are normally distributed with a mean of 460 and standard deviation of 80. What fraction of applicants would you expect to have scores of 600 or above?
A)0.0401
B)0.4599
C)0.5401
D)0.0852

Question

Quizplus · Accepted Answer

To find the fraction of applicants with scores of 600 or above, we calculate the z-score and then look up the corresponding area under the normal distribution curve. The z-score is calculated as (X - μ) / σ = (600 - 460) / 80 = 1.75. Looking up the z-score of 1.75 in a standard normal distribution table or using a calculator, we find that the area to the right (which represents the fraction of applicants scoring 600 or above) is approximately 0.0401.

A Large Number of Applicants for Admission to Graduate Study