The Statistic S² Is an Unbiased and Consistent Estimator of σ²

question 138

True/False

The statistic s² is an unbiased and consistent estimator of σ².

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Definitions:

Universal Generalization

A logical inference stating that what is true for all members of a particular group or category.

Quantifier Negation

The process of reversing the scope of a quantifier in a logical expression, such as changing from "all" to "not all."

Existential Generalization

A logical inference rule that allows for the conclusion that at least one member of a domain possesses a property, based on the existence of a specific example with that property.

Universal Instantiation

A logical rule of inference stating that if a property is true for all members of a category, it is true for any specific member of that category.