High School

Which of the following values of the chi-square distribution cannot occur?

A. 100.0
B. 38.4
C. 0.61
D. -2.45

Answer :

Final answer:

The chi-square distribution cannot have negative values. Therefore, of the given options, -2.45 cannot occur in a chi-square distribution.

Explanation:

The question is about chi-square distribution, a fundamental concept in statistics. Specifically, it asks which of the following values of the chi-square distribution cannot occur: a) 100.0, b) 38.4, c) 0.61, d) -2.45. By definition, the chi-square distribution is a special case of the gamma distribution, a two-parameter family of continuous probability distributions. The chi-square distribution is always positive in its domain, meaning it doesn't extend into the negatives. As such, negative values of chi-square, such as -2.45, cannot occur. Therefore, the answer is d) -2.45.

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