Which of the following statements is correct regarding the percentile points of the F distribution? A)F_0.10,10,20 = 1/F_0.90,10,20 B)F_0.90,10,20 = 1/F_0.10,20,10 C)F_0.90,10,20 = 1/F_0.90,20,10 D)F_0.10,10,20 = 1/F_0.10,20,10

Question

Quizplus · Accepted Answer

The correct statement regarding the percentile points of the F distribution is that the F value at a certain percentile for a given numerator and denominator degrees of freedom is the reciprocal of the F value at the complementary percentile when the degrees of freedom are reversed. This is accurately represented in option B, where $F_{0.90,10,20} = \frac{1}{F_{0.10,20,10}}$. This property is a result of the relationship between the F-distribution and its inverse under the swapping of degrees of freedom and complementing the percentile level.

Which of the Following Statements Is Correct Regarding the Percentile