Answered: SAT math scores follow a normal…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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SAT math scores follow a normal distribution with an approximate μ=500 and σ=100. Also, ACT math scores follow a normal distribution with an approximate μ=21 and σ=4.7. You are an admissions officer at a university and have room to admit one more student for the upcoming year. Paul scored 622 on the SAT math exam, and Ann scored 27 on the ACT math exam. If you were going to base your decision solely on their performances on the exams, which student should you admit? Explain.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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