Differences between two samples are LEAST likely to be statistically significant if the samples are _______ and the standard deviations of the samples are _______.
A) small;small
B) large;large
C) small;large
D) large;small

Question

Quizplus · Accepted Answer

When the samples are small, the differences between the samples are less likely to be statistically significant as the sample size is small. When the standard deviations of the samples are large, it means that the data is spread out and more dispersed, making the differences between the samples more likely to be statistically significant. Therefore, when the samples are small and the standard deviations of the samples are large, the differences between the samples are most likely to be statistically significant. The other options (A, B, D) do not fit this pattern.

Differences Between Two Samples Are LEAST Likely to Be Statistically