In two separate studies, the actual difference between the m

In two separate studies, the actual difference between the means of a treated group and an untreated group is 3 points. However, in one study, the σM1 − M2 is very large and so the 3 points is not found to be significant. In the other study, the σM1 − M2 is very small and so the 3 points is found to be significant. What might have caused this big difference in the σM1 − M2 for the two studies?

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