The scores on a college entrance exam have an approximate normal distribution with mean, μ = 68 points and a standard deviation, σ = 13 points. a. About 68% of the exam scores lie between what two values? These values are:The z-scores are ________________, respectively.About 95% of the exam scores lie between what two values? These values are: The z-scores are________________, respectively.About 99.7% of the exam scores lie between what two values? These values are: The z-scores are ________________, respectively.

Here, μ = 68 and σ = 13. Empirical rule: According to empirical rule, 99.7% of data lies within…

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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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The scores on a college entrance exam have an approximate normal distribution with mean, μ = 68 points and a standard deviation, σ = 13 points. a. About 68% of the exam scores lie between what two values? These values are:

The z-scores are ________________, respectively.

About 95% of the exam scores lie between what two values? These values are:

The z-scores are________________, respectively.

About 99.7% of the exam scores lie between what two values? These values are:

The z-scores are ________________, respectively.

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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