Answered: According to the empirical (69-95-99.7)…

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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Question

According to the empirical (69-95-99.7) rule, if a random variable ?z has a standard normal distribution, then approximately 95% of all values fall between ?z‑scores of –2 and 2. Use the standard normal table or software to determine the precise positive value of ?z such that 95% of the area under the standard normal density curve is between −?−z and ?.z. If you use software, you may find this list of manuals useful.

Give the positive value of ? precise to two decimal places.

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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