Question

Consider two ${\chi }^2$curves with degrees of freedom $12$and $20$respectively. which one more closely resembles a normal curve? Explain your answer.

Short answer

A $20$degrees of freedom of ${\chi }^2$-curve is more closely resembles a normal curve than a$12$degrees of freedom of ${\chi }^2$-curve.

Step-by-step solution

Step 1. Given information

Consider two${\chi }^2$curves with degrees of freedom$12$and$20$respectively.

Step 2. Explanation for the answer:

We know that, the ${\chi }^2$curves look increasingly like normal curves, when the number of degrees of freedom becomes larger. So, a$20$degrees of freedom of ${\chi }^2$-curve is more closely resembles a normal curve than a $12$degrees of freedom of a ${\chi }^2$curve.