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In a Normal Approximation to the Wilcoxon Rank Sum Test

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In a normal approximation to the Wilcoxon rank sum test, the standardized test statistic is calculated as z = 1.96. For a two-tail test, the p-value of the test is 0.025.


Definitions:

Even Number

An integer that is divisible by 2 without leaving a remainder.

Observations

Data points collected during a study or experiment, representing individual instances or occurrences of the variables being studied.

Variance

A measure of the dispersion or spread of a set of data points around their mean value; it quantifies how much the data points differ from the mean.

Standard Deviation

An indicator of the range or spread of a collection of numbers, showing how far the values diverge from the average.

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