Which of the following statements are not true about the F distribution with parameters $v _ { 1 } \text { and } v _ { 2 } \text { ? }$
A) The parameter $v _ { 1 }$
Is called the number of numerator degrees of freedom.
B) The parameter $v _ { 2 }$
Is called the number of denominator degrees of freedom.
C) A random variable that has an F distribution can assume a negative value; depends on the values of $v _ { 1 } \text { and } v _ { 2 }$
D) All of the above statements are true.
E) None of the above statements are true.

Question

Quizplus · Accepted Answer

The F distribution is always non-negative because it is the ratio of two chi-squared distributions (each scaled by their degrees of freedom), which means it cannot assume negative values regardless of the values of $v_1$ and $v_2$.

Which of the Following Statements Are Not True About the F