Question

question 6
which statement is correct about the f - distribution?
a is the same as the z distribution
b is the same as the t distribution
c cannot be negative
d cannot be positive

Explanation:

The F - distribution is a ratio of two chi - square distributions divided by their respective degrees of freedom. Since variances (which are involved in the construction of the F - statistic) are non - negative, the F - distribution values are non - negative. The z - distribution and t - distribution have different properties and are not the same as the F - distribution.

Answer:

C. Cannot be negative