Chi-Square Distributions and Goodness of Fit

Read these sections, which discuss chi-square distributions and how to test the goodness of fit. While these sections are optional, studying them may help you if you wish to take the Saylor Direct Credit exam for this course.

Chi Square Distribution

Answers

1 out of 4

The degrees of freedom of the Chi Square distribution are equal to the number of standard normal deviates being summed (which is 12 in this case).


2 out of 4

The mean of a Chi Square distribution is its degrees of freedom.


3 out of 4

As the degrees of freedom of a Chi Square distribution increase, the Chi Square distribution begins to look more and more like a normal distribution. Thus, out of these choices, a Chi Square distribution with 10 df would look the most similar to a normal distribution.


4 out of 4

Because three scores are sampled, the answer can be found using the Chi Square distribution with three degrees of freedom. A Chi Square calculator can be used to find that the probability of a Chi Square (with 3 df) being 9 or higher is .0293.