## Chi-Square Distributions and Goodness of Fit

### 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 ) being 9 or higher is .0293.