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.The top 2.5 percent of the applicants would have a score of at least (choose the nearest integer)
A)606
B)617
C)600
D)646

Question

Quizplus · Accepted Answer

We need to find the score that corresponds to the top 2.5% of the distribution. Using a z-table or calculator, we can find the z-score that corresponds to this percentile is approximately 1.96.

z = (x - mu) / sigma

1.96 = (x - 460) / 80

Solving for x, we get:

x = 617.

Therefore, the nearest integer to a score at least as high as the top 2.5% of applicants is 617, so the answer is B.

A Large Number of Applicants for Admission to Graduate Study