What is the central limit theorem?
A)It explains that sample means will vary minimally from the population mean.
B)It explains that a sampling distribution of possible sample means is approximately normally distributed,regardless of the shape of the distribution in the population.
C)It explains that if we select a sample at random,then on average we can expect the sample mean to equal the population mean.
D)all of the above

Question

Quizplus · Accepted Answer

The central limit theorem states that regardless of the shape of the population distribution, the sampling distribution of the mean for a sufficiently large sample size will be approximately normally distributed. Therefore, B is the correct answer option. A and C are partly true but do not fully capture the essence of the central limit theorem.

What Is the Central Limit Theorem