Which of the Following Statements Are Not Necessarily True?
A) $F _ { 1 - \alpha , v _ { 1 } , v _ { 2 } } = 1 / F _ { \alpha , v _ { 1 } , v _ { 1 } }$

Multiple Choice

Which of the following statements are not necessarily true?

A) The density curve of an F distribution is not symmetric, so it would be necessary that both upper-and lower-tail critical values must be tabulated.
B) $F _ { 1 - \alpha , v _ { 1 } , v _ { 2 } } = 1 / F _ { \alpha , v _ { 1 } , v _ { 1 } }$
C) There is an important connection between an F distribution and independent chi-squared random variables.
D) A random variable that has an F distribution cannot assume a negative value.
E) All of the above statements are true.