The Wilcoxon signed-rank test does not assume a normal population, but it does require a roughly symmetric population.

Name: The Wilcoxon signed-rank test does not assume a normal population, but it does require a roughly symmetric population.
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The assumption of symmetry is necessary for the Wilcoxon signed-rank test to work correctly, but it does not assume a normal population. The test is a nonparametric test, meaning it does not rely on any assumptions about the underlying distribution of the data.

The Wilcoxon Signed-Rank Test Does Not Assume a Normal Population