Question

Suppose SAT Writing scores are normally distributed with a mean of 497 and a standard deviation of 109 . A university plans to award scholarships to students whose scores are in the top 2% . What is the minimum score required for the scholarship? Round your answer to the nearest whole number, if necessary.

Answer 1

Explanation:

2%=

그

700 = 20200

so the area between of minimum score and the

mean is 0.5000-0.0200 = 0,4800

The corresponding 2-value is

2 = 2.05b

≥ = X-T

S

メニメ+を<

{standardized}

= 497+2,056X109

=497+224.010

=721.104

~ 721

so the minimum score is 721