A small difference between means may not be statistically significant with a small sample, but it could reach statistical significance with a large sample because:
A) the overlap between distributions grows as sample size increases.
B) as N increases, the standard error gets smaller, reflecting less variability in sample means, which allows greater sensitivity to detect small but significant differences.
C) as N increases, distributions get more heterogeneous, allowing small differences to be detected.
D) the difference between means gets larger as sample size increases.

Question

Quizplus · Accepted Answer

As the sample size increases, the standard error of the mean decreases, reflecting less variability in the sample mean, which increases the power to detect small but significant differences.

A Small Difference Between Means May Not Be Statistically Significant