The Central Limit theorem states that the distribution of differences is
A) always based on a pair of samples
B) always based on a single sample
C) a parameter
D) approximately normal in shape

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that the distribution of sample means or differences will be approximately normal in shape, regardless of the shape of the underlying population, as long as the sample size is sufficiently large (typically at least 30). Therefore, choice D is the correct answer. The other options are incorrect because the Central Limit Theorem applies to sample distributions, not population parameters or individual samples.

The Central Limit Theorem States That the Distribution of Differences