Chi-Square Distributions and Goodness of Fit

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.