Question

Anders wants to attend an elite paleontology school. Applicants are given an admissions test on which scores normally distributed with the mean of 72 and the standard deviation of 7. If only the top 4% of applicants are accepted, what score does Anders need to earn?

Answer 1

Solution:
Given in the question
Applicants are given an admissions test on which scores normally distributed with
Mean() = 72
Standard deviation() = 7
If only the top 4% of applicants are accepted, lets assume required Score to attend an elite paleontology school is X
So P-value = 0.96, From Z-table we found Z-score = 1.75
So Score to attend an elite paleontology school is X can be calculated as
X = + Z-score* = 72 + 1.75*7 = 72 + 12.25 = 84.25
So Andrers needs 84.25 to attend an elite paleontology school.