Question

Suppose act mathematics scores are normally distributed with a mean of 21 and a standard deviation of 5.3. a university plans to send letters of recognition to students whose scores are in the top 7%. what is the minimum score required for a letter of recognition?

Answer 1

z from (-oo, +0.525) = 0.700.
 Therefore, any score greater than 0.525 sd from the mean will be acceptable.
21 + 5.3(0.525) = 21 + 2.7825 = 23.7825 would be the minimum.
The minimun score required for a letter of recognition is 23.7825.
The answer in this question is 23.7825