Given $v _ { 1 } = 9$ and $v _ { 2 } = 5$, find $P ( F 6.68 )$.
A) $0.025$
B) $0.10$
C) $0.01$
D) $0.05$

Question

Given $v _ { 1 } = 9$ and $v _ { 2 } = 5$, find $P ( F > 6.68 )$.
A) $0.025$
B) $0.10$
C) $0.01$
D) $0.05$

Quizplus · Accepted Answer

Given $v_1 = 9$ and $v_2 = 5$, and looking for $P(F > 6.68)$, we use the F-distribution table. The closest value to 6.68 for 9 and 5 degrees of freedom is not directly listed, but the probability for values greater than a high F-ratio typically falls into the lower tail probabilities such as 0.025 or 0.01. Given the options, 0.025 is the most appropriate choice, as it is a common critical value for F-distributions in statistical tests, indicating a 2.5% probability in the tail.

Given v1=9v _ { 1 } = 9v1​=9 And v2=5v _ { 2 } = 5v2​=5

Given $v _ { 1 } = 9$ And $v _ { 2 } = 5$