A Small Difference Between Means May Not Be Statistically Significant

Multiple Choice

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.