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 distribution is independent of the degrees of freedom.

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 distribution is independent of the degrees of freedom.

Quizplus · Accepted Answer

The F distribution is the probability distribution of the ratio of two independent chi-square variables, and it is positively skewed. The values of the F distribution range from 0 to positive infinity, since the ratio of two positive numbers cannot be negative. The shape of the F distribution depends on the degrees of freedom of the numerator and denominator chi-square variables. Therefore, only choice C is true regarding the F distribution.

Which of the Following Characteristics Is True Regarding the F