Different tests are required to test the differences between the means of two samples depending upon whether or not the two samples are independent or are paired.

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This is true. If the two samples are independent, a two-sample t-test or a Welch's t-test may be used to test the difference between their means. If the two samples are paired, a paired t-test or a Wilcoxon signed-rank test may be used.

Different Tests Are Required to Test the Differences Between the Means