Chi-Square Distributions and Goodness of Fit

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 $df$
• A Chi Square distribution with 1 $df$
• A Chi Square distribution with 2 $df$
• A Chi Square distribution with 10 $df$

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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