Question

Suppose SAT Mathematics scores are normally distributed with a mean of 515515 and a standard deviation of 115115. A university plans to send letters of recognition to students whose scores are in the top 10%10%. What is the minimum score required for a letter of recognition? Round your answer to the nearest whole number, if necessary.

Answer

Answer 1

Let X is SAT mathematics score so

Given that

X~N(mean=515515,SD=115115)

University sends letter of recognition to top 10% of the students.

Let L is minimum score required for letter of recognition

So

P(X>L)=0.1

So now

From.Z table

P(Z>1.2 82)=0.1

So

This gives

L=515515+1.282*115115=663092.43