Question

The combined SAT scores for the students at a local high school are normally distributed with a mean of 1456 and a standard deviation of 304. The local college includes a minimum score of 1851 in its admission requirements.

What percentage of students from this school earn scores that fail to satisfy the admission requirement?

Answer 1

The combined SAT scores for the students at a local high school are normally distributed with a mean of 1456 and a standard deviation of 304. The local college includes a minimum score of 1851 in its admission requirements.

What percentage of students from this school earn scores that fail to satisfy the admission requirement?

z = (x-µ)/σ

z value for 1851, z = (1851-1456)/304 = 1.30

P( x < 1851) = P( z < 1.30) = 0.9032 ( from standard normal distribution)

percentage of students from this school earn scores that fail to satisfy the admission requirement =90.32%