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The Value of the Test Statistic for the Hypothesis Test

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The value of the test statistic for the hypothesis test of the population variance,σ2 is computed as The value of the test statistic for the hypothesis test of the population variance,σ<sup>2</sup> is computed as   . .


Definitions:

Nonzero Differences

Refers to the differences between paired observations that are not equal to zero, often considered in statistical tests like the Wilcoxon Signed-Rank Test.

Paired Sample

Two related samples or sets of data collected from the same group of subjects, used in experiments to analyze differences under varying conditions.

Two-Sample T-Test

A statistical test used to compare the means of two independent samples to determine if they come from populations with equal means.

Wilcoxon Signed Rank Test

A nonparametric statistical test used to compare two related samples, matched samples, or repeated measurements on a single sample to assess whether their population mean ranks differ.

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