Answered: Suppose you have a normally distributed…

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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Suppose you have a normally distributed population with the mean equal to µ and the standard deviation equal to σ. You are interested in probability values with respect to a certain value of interest, X. If your Z value for this test is equal to 2.5, which of the following is true about your X value of interest?

It is 2.5 standard deviations above µ.
It is 2.5 standard deviations below µ
It is 5 units above µ.
It is 2.5 units below µ.

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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