Which of the following characteristics is true with regard to the F distribution? A)The F₍_df_1,_df₂₎ distribution is negatively skewed. B)The values of the F₍_df_1,_df₂₎ distribution range from negative infinity to infinity. C)The F₍_df_1,_df₂₎ distribution is the probability distribution of the ratio of two independent chi-square variables. D)The shape of the F₍_df_1,_df₂₎ distribution is independent of the degrees of freedom.

Question

Quizplus · Accepted Answer

The F distribution is the probability distribution of the ratio of two independent chi-square variables, hence it is true that the F₍_df_1,_df₂₎ distribution is the probability distribution of the ratio of two independent chi-square variables. The other options are false as the F distribution is not negatively skewed (A), its values range from 0 to positive infinity (B), and its shape is dependent on the degrees of freedom (D).

Which of the Following Characteristics Is True with Regard to the F