## 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

#### Questions

**Question 1 out of 4.**

Imagine that you sample 12 scores from a standard normal distribution, square each score, and sum the squares. How many degrees of freedom does the Chi Square distribution that corresponds to this sum have?

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**Question 2 out of 4.**

What is the mean of a Chi Square distribution with 8 degrees of freedom?

______________**Question 3 out of 4.**

Which Chi Square distribution looks the most like a normal distribution?

- A Chi Square distribution with 0
- A Chi Square distribution with 1
- A Chi Square distribution with 2
- A Chi Square distribution with 10

**Question 4 out of 4.**

Imagine that you sample 3 scores from a standard normal distribution, square each score, and sum the squares. What is the probability that the sum of these 3 squares will be 9 or higher?

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