Differences between two sample averages are most likely to be statistically significant if

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Quizplus · Accepted Answer

The larger the difference between the sample averages, the more likely the difference is to be statistically significant. This is because the larger the difference, the less likely it is to occur by chance. Standard deviations do not necessarily affect the significance of the difference between sample averages, and it is actually more advantageous to have small standard deviations. Samples drawn from the same population may or may not have significant differences, depending on the variability within the population. The comparison between sample means and medians is not relevant in determining the significance of the difference between sample averages.

Differences Between Two Sample Averages Are Most Likely to Be