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Name: Suppose that you know that a variable is normally distributed on each
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Description: Suppose that you know that a variable is normally distributed on each of two populations. Further suppose that you want to perform a hypothesis test based on independent random samples to compare the two population means. For each exercise, decide wh

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Suppose that you know that a variable is normally distributed on each of two populations. Further suppose that you want to perform a hypothesis test based on independent random samples to compare the two population means. For each exercise, decide whether you would use the pooled or nonpooled t-test, and give a reason for your answer.

The sample standard deviations are 23.6 and 25.2, and each sample size is 25.

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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It is given that the sample standard deviations are 23.6 and 25.2. It can be observed that there is a very small difference between the two sample standard deviations. Hence it can be assumed that the populations are equal.

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