At Los Angeles School of Business the average score a studen

At Los Angeles School of Business the average score a student must make on an entrance exam is 142 points with a standard deviation of 16 points. If the school can only accept the top 15% of the applications what is the cutoff score one must make to get into the school?

Solution

P( Z > z ) = 0.15

using table swe have that z = 1.03

1.03 = (x-142) / 16

x = 158.48