If GMAT scores for applicants at Oxnard Graduate School of Business are N(500,50)then the top 5 percent of the applicants would have a score of at least (choose the nearest integer):
A) 575.
B) 582.
C) 601.
D) 608

Question

Quizplus · Accepted Answer

To find the score that corresponds to the top 5% of applicants, we need to find the z-score that corresponds to the 95th percentile, which is approximately 1.645 (found using a standard normal distribution table or calculator).

We can then use the formula: 
z = (x - μ)/σ
where z is the z-score, x is the score we want to find, μ is the mean (500), and σ is the standard deviation (50).

Substituting the values, we get: 
1.645 = (x - 500) / 50

Solving for x: 
x = 1.645 * 50 + 500 = 582.25

Rounding to the nearest integer gives us a score of 582, which is closest to choice B.

If GMAT Scores for Applicants at Oxnard Graduate School of Business