Question

Suppose SAT Writing scores are normally distributed with a mean of 498 and a standard deviation of 108. A university plans to award scholarships to students whose scores are in the top 4%. What is the minimum score required for the scholarship? Round your answer to the nearest whole number, if necessary.

Answer 1

Answer: 687

Step-by-step explanation:

normally distributed

μ = 498

σ = 108

Top 4%

P(X > a) = 0.04

P(Z > a-498/108) = 0.04

Using the table attached, for the top 4%:

0.50 - 0.04 = 0.46

a-498/108 = 1.75

a-498 = 189

a = 687

The minimum score for the scholarship is 687.