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

question 9

Short Answer

Specify the appropriate rejection region for testing
$\mathrm { H } _ { 0 : } : \sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 }$ in the given situation.
- $$\mathrm { H } _ { \mathrm { a } } : \sigma _ { 1 } ^ { 2 } > \sigma _ { 2 } ^ { 2 } ; \alpha = 0.01 , \mathrm { n } _ { 1 } = 10 , \mathrm { n } _ { 2 } = 21$$
A) $\mathrm { F } > 3.46$
B) $\mathrm { F } > 4.81$
C) $\mathrm { F } > 2.84$
D) $| \mathrm { F } | > 3.46$

• A) \(\mathrm { F } > 3.46\)
• B) \(\mathrm { F } > 4.81\)
• C) \(\mathrm { F } > 2.84\)
• D) \(| \mathrm { F } | > 3.46\)

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Definitions:

Pay Bonus

An additional financial reward given to employees on top of their regular salary, often based on performance.

Inductive Sequence

A methodological approach in reasoning or presentation that moves from specific observations or instances to a generalized conclusion or theory.

Deductive Sequence

A logical structure in communication where the conclusion is presented first, followed by supporting evidence.

Bonus Scheme

A systematic approach to provide additional compensation to employees beyond their usual salary, often tied to performance or company profits.