Two Independent Samples of Sizes M and N and Variances ${ S } _ { 1 } ^ { 2 } \text { and } S _ { 2 } ^ { 2 }$

question 49

Essay

Two independent samples of sizes m and n and variances ${ S } _ { 1 } ^ { 2 } \text { and } S _ { 2 } ^ { 2 }$ are selected at random from two normal distributions with variances $σ _ { 1 } ^ { 2 } \text { and } σ _ { 2 } ^ { 2 } \text {. }$ In testing $H _ { o } : σ _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 } \text { versus } H _ { o} : σ _ { 1 } ^ { 2 } \neq \sigma _ { 2 } ^ { 2 } \text {, }$ where the test statistic value is $f = s _ { 1 } ^ { 2 } / s _ { 2 } ^ { 2 } ,$ the rejection region for a level .05 test is either $f \geq$$\underline{\quad\quad}$ or $f \leq$$\underline{\quad\quad}$

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Definitions:

Ego Identity

Erikson’s term for a firm sense of who one is and what one stands for.

Ego

The part of the psyche that mediates between the conscious, the unconscious, and the reality to maintain a sense of personal identity and control.

Moral Principle

A fundamental belief or value that guides behavior and decision-making based on notions of right and wrong.

Cross-Cultural Research

A research methodology that studies human behavior across different cultures to understand the impact of culture on behavior.