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

Short Answer

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 $s _ { 2 } ^ { 2 } > s _ { 1 } ^ { 2 }$ .
A) $F > 3.01$
B) $F > 2.59$
C) $| \mathrm { F } | > 2.34$
D) $| \mathrm { F } | > 2.59$ 9 Identify the rejection region that should be used to test $H _ { 0 } : \sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 }$ against $H _ { \mathrm { a } } : \sigma _ { 1 } ^ { 2 } \approx \sigma _ { 2 } ^ { 2 }$ for $v _ { 1 } = 5 , v _ { 2 } = 8$ , and $\alpha = .05$ .
A) $F > 4.82$
B) $F > 3.69$
C) $F > 6.76$
D) $F > 6.63$ 10 Identify the rejection region that should be used to test $H _ { 0 } : \sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 }$ against $H _ { a } : \sigma _ { 1 } { } ^ { 2 } > \sigma _ { 2 } ^ { 2 }$ for $v _ { 1 } = 10$ , v $v _ { 2 } = 29$ , and $\alpha = .10$ .
A) $F > 1.83$
B) $F > 2.18$
C) $F > 2.53$
D) $F > 3.00$