Answered: .Assuming a normal distribution where…

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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1.Assuming a normal distribution where the mean is 14 and the standard deviation is 2.5, find the z-score corresponding to a raw score of x = 12

2.Assuming a normal distribution where the mean is 33 and the standard deviation is 4, Find the z-score corresponding to a raw score of x = 42.

3.Assuming a normal distribution where the mean is 28 and the standard deviation is 3.4, determine the raw score (x value) which corresponds to a z-score of -1.8.

4.Assuming a normal distribution where the mean is 187 and the standard deviation of 21, determine the raw score (x value) which corresponds to a z-score of 2.2.

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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