Determine if the statements below are true or false. For each false statement, suggest an alternative wording to make it a true statement.The chi-square distribution, just like the normal distribution, has two parameters, mean and standard deviation.False, there is only one parameter, degrees of freedom.The chi-square distribution is always right skewed, regardless of the value of the degrees of freedom parameter.True.The chi-square statistic is always positive.True because each difference is squared.As the degrees of freedom increases, the shape of the chi-square distribution becomes more skewed.False, it becomes less skewed and more normal as the degrees of freedom increases.

1. False, the Chi-square distribution has only one parameter which is the degree of freedom. The chi-square distribution has a mean equal to the degree of freedom and a variance equal to two times the degree of freedom. But the parameter of the chi-square distribution is the degree of freedom.2. True, the chi-square distribution is right-skewed but its shape depends on the degree of freedom.When the degree of freedom becomes greater than 90, the distribution approaches the normal distribution. 3. True, the chi-square statistic is always positive.This is because while calculating the chi-square statistic the difference of observed and expected frequency is squared which makes the statistic positive. 4. False.As the degree of freedom increases, the shape of the distribution approaches a normal distribution. The chi-square distribution is always right skewed but as the degree of freedom increases, the degree of skewness decreases which means it becomes less skewed. The distribution approaches a normal distribution.

Answered: Determine if the statements below are…

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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Determine if the statements below are true or false. For each false statement, suggest an alternative wording to make it a true statement.

The chi-square distribution, just like the normal distribution, has two parameters, mean and standard deviation.
False, there is only one parameter, degrees of freedom.
The chi-square distribution is always right skewed, regardless of the value of the degrees of freedom parameter.
True.
The chi-square statistic is always positive.
True because each difference is squared.
As the degrees of freedom increases, the shape of the chi-square distribution becomes more skewed.
False, it becomes less skewed and more normal as the degrees of freedom increases.

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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