The Wilcoxon signed-rank test is less powerful than a one-sample test of a mean when the population is actually normal.

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The Wilcoxon signed-rank test is a non-parametric test and is used when the data does not follow a normal distribution. In contrast, the one-sample test of a mean is a parametric test and assumes that the data follows a normal distribution. If the population is actually normal, the one-sample test would be more powerful than the Wilcoxon signed-rank test.

The Wilcoxon Signed-Rank Test Is Less Powerful Than a One-Sample