The Central Limit Theorem states that the sampling distribution of the sample mean is approximately normal under certain conditions. Which of the following is a necessary condition
For the Central Limit Theorem to be used?
A)The population from which we are sampling must be normally distributed.
B)The population size must be large .
C)The sample size must be large .
D)The population from which we are sampling must not be normally distributed.

Question

Quizplus · Accepted Answer

The Central Limit Theorem applies regardless of the population's distribution shape, provided the sample size is sufficiently large (usually n ≥ 30 is considered large enough). This means that the sample mean will be approximately normally distributed if the sample size is large, even if the population itself is not normally distributed.

The Central Limit Theorem States That the Sampling Distribution of the Sample