As a general rule, if the sample is large, the difference between the groups is large, and the range of scores within a group is small, then:

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When the sample size is large, the difference between groups is significant, and the variability within groups is low, it increases the likelihood that any observed differences are not due to random chance, thus making the results more likely to be statistically significant.

As a General Rule, If the Sample Is Large, the Difference