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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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.

  1. 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.

  2. The chi-square distribution is always right skewed, regardless of the value of the degrees of freedom parameter.
    True.

  3. The chi-square statistic is always positive.
    True because each difference is squared.

  4. 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.

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