Specify the appropriate rejection region for testing $\mathrm { H } _ { 0 } : \sigma { } _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 }$ in the given situation.
-$\mathrm { H } _ { \mathrm { a } } : \sigma _ { 1 } ^ { 2 } \neq \sigma _ { 2 } ^ { 2 } ; \alpha = 0.10 , \mathrm { n } _ { 1 } = 10 , \mathrm { n } _ { 2 } = 16$
Assume that $\mathrm { s } _ { 2 } ^ { 2 } \mathrm { s } _ { 1 } ^ { 2 }$.

A) $F 3.01$
B) $F 2.59$
C) $| F | 2.59$
D) $| F | 2.34$

Question

Specify the appropriate rejection region for testing $\mathrm { H } _ { 0 } : \sigma { } _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 }$ in the given situation.
-$\mathrm { H } _ { \mathrm { a } } : \sigma _ { 1 } ^ { 2 } \neq \sigma _ { 2 } ^ { 2 } ; \alpha = 0.10 , \mathrm { n } _ { 1 } = 10 , \mathrm { n } _ { 2 } = 16$
Assume that $\mathrm { s } _ { 2 } ^ { 2 } > \mathrm { s } _ { 1 } ^ { 2 }$.

A) $F > 3.01$
B) $F > 2.59$
C) $| F | > 2.59$
D) $| F | > 2.34$

Quizplus · Accepted Answer

The rejection region for a two-tailed F-test at $\alpha = 0.10$ with $n_1 - 1 = 9$ and $n_2 - 1 = 15$ degrees of freedom is $F > 3.01$.

Specify the Appropriate Rejection Region for Testing H0:σ12=σ22\mathrm { H } _ { 0 } : \sigma { } _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 }H0​:σ12​=σ22​

Specify the Appropriate Rejection Region for Testing $\mathrm { H } _ { 0 } : \sigma { } _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 }$