Question

# The combined SAT scores for the students at a local high school are normally distributed with...

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?

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%