Which of the Following Statements Are Not True?
A) an F

Multiple Choice

Which of the following statements are not true?

A) An F distribution arises in connection with a ratio in which there is one number of degrees of freedom associated with the numerator $\left( v _ { 1 } \right)$
And another number of degrees of freedom associated with the denominator $\left( v _ { 2 } \right)$
)
B) For single-factor ANOVA, a value of the test statistic F = MSTr/MSE that is greatly smaller than 1, casts considerable doubt on $H _ { o }$
)
C) The unbiasedness of MSE in single-factor ANOVA is a consequence of $E \left( S _ { i} ^ { 2 } \right) = \sigma ^ { 2 }$
(the common population variance) whether $H _ { o }$
Is true or false.
D) In a single-factor ANOVA problem, the F critical value that captures upper-tail area .05 under the F curve with $v _ { 1 } = 6 \text { and } v _ { 2 } = 4 \text { is } 6.16$
E) All of the above statements are true.