The Weighted Average of the Variances $S _ { 1 } ^ { 2 } \text { and } S _ { 2 } ^ { 2 }$

question 30

Essay

The weighted average of the variances $S _ { 1 } ^ { 2 } \text { and } S _ { 2 } ^ { 2 }$ of two independent samples is referred to as the __________ of $\sigma ^ { 2 }$ (the common variance of the two population variances), and is denoted by __________.

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Definitions:

Homeostatic Mechanism

Biological processes that maintain the internal conditions of an organism within narrow limits despite changes in external environments.

Protein Production

The biological process in which cells build proteins based on the genetic instructions encoded in DNA.

Catabolic

A metabolic pathway that breaks down molecules into smaller units, releasing energy in the process.

Evolution of Life

The process by which different kinds of living organisms are thought to have developed and diversified from earlier forms during the history of the earth.