Identify the rejection region that should be used to test $H _ { 0 } : \sigma _ { 1 } { } ^ { 2 } = \sigma _ { 2 } { } ^ { 2 }$ against $H _ { a } : \sigma _ { 1 } ^ { 2 } \neq \sigma _ { 2 } { } ^ { 2 }$ for $v _ { 1 } = 5 , v _ { 2 } = 8$, and $\alpha = .05$.
A) $F 4.82$
B) $F 6.76$
C) $F 6.63$
D) $F 3.69$

Question

Identify the rejection region that should be used to test $H _ { 0 } : \sigma _ { 1 } { } ^ { 2 } = \sigma _ { 2 } { } ^ { 2 }$ against $H _ { a } : \sigma _ { 1 } ^ { 2 } \neq \sigma _ { 2 } { } ^ { 2 }$ for $v _ { 1 } = 5 , v _ { 2 } = 8$, and $\alpha = .05$.
A) $F > 4.82$
B) $F > 6.76$
C) $F > 6.63$
D) $F > 3.69$

Quizplus · Accepted Answer

The critical value for the F-distribution with $v_1 = 5$ and $v_2 = 8$ at $\alpha = .05$ is 6.63. Therefore, the rejection region is $F > 6.63$.

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