Answered: Jebediah scores 890 on the mathematics…

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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Jebediah scores 890 on the mathematics part of the SAT exam. The distribution of SAT scores in the population is normal, with a mean and a standard deviation (μ = 500, σ = 100). Jane takes the American College Testing (ACT) mathematics test and scores 27. ACT scores are normally distributed with a mean and standard deviation (μ = 18, σ = 6). Find the standardized scores for both students. Assuming that both tests measure the same kind of ability (math achievement), who has the higher score?

Please do not round. Use all available values in calculations.

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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