Answered: How can the normal distribution be used…

Name: How can the normal distribution be used to test hypothesis about popul
Uploaded: 2024-03-20T07:07:12.000Z
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Description: How can the normal distribution be used to test hypothesis about populations? Also, how might you summarize that you can use this logic to test a hypothesis such as caffeine improves memory and the caffeine study that I reference in my lectures?

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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How can the normal distribution be used to test hypothesis about populations? Also, how might you summarize that you can use this logic to test a hypothesis such as caffeine improves memory and the caffeine study that I reference in my lectures?

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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Step 1

To test a hypothesis such as caffeine improves memory in the caffeine study:

In this case, two independent samples can be taken from two different populations, like, one from the population who uses caffeine and other who does not use caffeine. The sample needs to be large enough so that it can a representative of the population. When the sample size is large enough, the sampling distribution will also be nearly normal and then it can be determined by mean and the standard deviation.

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