# Probability Using Normal Distribution of SAT Scores

25. The College Board American College Testing Program reported a population mean SAT score of µ 1020 (The World Almanac 2003). Assume that the population standard deviation is 100.

a. What is the probability that a random sample of 75 students will provide a sample mean SAT score within 10 of the population mean?

b. What is the probability a random sample of 75 students will provide a sample mean SAT score within 20 of the population mean?

https://brainmass.com/statistics/normal-distribution/probability-normal-distribution-sat-scores-155445

#### Solution Preview

See the attached file.

25. The College Board American College Testing Program reported a population mean SAT score of µ 1020 (The World Almanac 2003). Assume that the population standard deviation is 100.

a. What is the probability that a random sample of 75 students will provide a sample mean SAT score within 10 of the population mean?

Mean within 10 of the population mean

Mean= M = 1020

Standard deviation =s = 100 ...

#### Solution Summary

Probability calculations have been done using Normal Distribution in the solution.