Which of the following characteristics is true regarding the F distribution?
A) The distribution is negatively skewed.
B) The values of the distribution range from negative infinity to infinity.
C) The distribution is the probability distribution of the ratio of two independent chi-square variables.
D) The shape of the

Question

Which of the following characteristics is true regarding the F distribution?
A) The distribution is negatively skewed. 
B) The values of the distribution range from negative infinity to infinity. 
C) The distribution is the probability distribution of the ratio of two independent chi-square variables. 
D) The shape of the

Quizplus · Accepted Answer

The F distribution is the probability distribution of the ratio of two independent chi-square variables. Therefore, choice C is true regarding the F distribution. The F distribution is not negatively skewed (choice A is false). The values of the F distribution do range from 0 to positive infinity, but not from negative infinity to infinity (choice B is partially true, but incomplete and therefore false). The shape of the F distribution varies depending on the degrees of freedom of the numerator and denominator chi-square variables, so choice D is too vague to be either true or false.

Which of the Following Characteristics Is True Regarding the F