# Scholastic Aptitude Test (SAT)

The scores of students taking the Scholastic Aptitude Test (SAT) are normally distributed with a mean u = 1035 and a standard deviation o = 131.

a) Determine the probability that a simple random sample of 15 students would earn an average score of 1000 or less.

b) Determine the probability that a simple random sample of 50 students would earn an average score of 1080 or greater.

c) Determine the probability that a simple random sample of 75 students would earn an average score between 1020 and 1060.

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:04 pm ad1c9bdddfhttps://brainmass.com/statistics/probability/scholastic-aptitude-test-sat-27367

#### Solution Summary

The scores of students taking the Scholastic Aptitude Test (SAT) are normally distributed with a mean u = 1035 and a standard deviation o = 131.

a) Determine the probability that a simple random sample of 15 students would earn an average score of 1000 or less.

b) Determine the probability that a simple random sample of 50 students would earn an average score of 1080 or greater.

c) Determine the probability that a simple random sample of 75 students would earn an average score between 1020 and 1060.