Answered: In the results from an experiment the…

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

In the results from an experiment the estimated variance within groups (WG) , based on 27 degrees of freedom, is 233, while the estimated variance between the groups (BG), based on 3 degrees of freedom, is 1521. Is there evidence at the 1% level of significance that the difference in conditions between the groups has an effect on the results? The data have been plotted on normal probability paper, showing reasonable agreement with normal distributions.

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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