Chi-Square Distributions and Goodness of Fit
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buttons.Chi Square Distribution
Answers
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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).
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The mean of a Chi Square distribution is its degrees of freedom.
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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.
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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.