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

A) the difference between the samples is large.
B) the standard deviations of the samples are large.
C) both samples are drawn from the same population.
D) the sample means are larger than the sample medians.

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.