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.

Question

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.

Quizplus · Accepted Answer

The density curve of an F distribution is not symmetric, but it is not necessary to tabulate both upper-and lower-tail critical values because the F distribution is defined only for positive values.

Which of the Following Statements Are Not Necessarily True? A) F1−α,v1,v2=1/Fα,v1,v1F _ { 1 - \alpha , v _ { 1 } , v _ { 2 } } = 1 / F _ { \alpha , v _ { 1 } , v _ { 1 } }F1−α,v1​,v2​​=1/Fα,v1​,v1​​

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