Answered: nsider a population with 1,600 values…

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

Consider a population with 1,600 values which exhibits a normal distribution. Assume that the mean is 41 and the standard deviation is 8.

What proportion of the data values is less than 37?

What population value corresponds the 80% percentile, the value which 80% of the population is smaller than? (answer to the nearest 0.01)

How many of the data values are larger than 40?

How many of the data values are between 37 and 53?

(answer to the nearest integer)

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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