Central Limit Theorem: When the maximum SAT score was 2400, scores had a mean = 1518 and standard deviation = 325. Assuming the scores are normally distributed, determine the probability of a score exceeding 1600.If 81 SAT scores are randomly selected, find the probability that their mean score exceeds 1600.

Given that: Population Mean, μ=1518 Population Standard deviation, σ=325

Answered: Central Limit Theorem: When the maximum…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Central Limit Theorem: When the maximum SAT score was 2400, scores had a mean = 1518 and standard deviation = 325.

Assuming the scores are normally distributed, determine the probability of a score exceeding 1600.
If 81 SAT scores are randomly selected, find the probability that their mean score exceeds 1600.

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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