The Central Limit Theorem implies that
A)the population will be approximately normal if n ≥ 30.
B)repeated samples must be taken to obtain normality.
C)the distribution of the mean is approximately normal for large n.
D)the mean follows the same distribution as the population.

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that for a large sample size (n), the distribution of sample means will be approximately normal, even if the population distribution is not normal. This makes choice C the correct answer. Options A, B, and D do not accurately represent the implications of the Central Limit Theorem.

The Central Limit Theorem Implies That