When the sample sizes of both groups are 10 or greater,the shape of the sampling distribution of R_j approximates a normal distribution,which allows us to convert the R statistic to a z score.

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When the sample sizes of both groups are 10 or greater, the central limit theorem states that the sampling distribution of R_j, which is the distribution of the R statistic, approaches a normal distribution. Therefore, we can convert the R statistic to a z-score, allowing us to make inferences about the population parameters.

When the Sample Sizes of Both Groups Are 10 or Greater,the