Answered: IQ is known to be 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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Question

IQ is known to be normally distributed with a mean of 100 and standard deviation of 16. A small school of 64 students has a mean IQ of
105. What is the approximate value of the test statistic associated with this sample mean and what conclusion should be drawn in relation to the overall population?

z = +2.5; reject H0 and conclude that this sample is significantly higher in IQ than the general population

t = -0.27; retain H0 and conclude that the IQ for this sample is not significantly different from the general IQ population

z = +2.0; retain H0 and conclude that the IQ for this sample is not significantly different from the general IQ population

z = +2.5; retain H0 and conclude that the IQ for this sample is not significantly different from the general IQ population

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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