Question

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?

Group of answer choices

a)The sample size must be at least 30.
b)The population size must be at least 30.
c)The population from which we are sampling must be normally distributed.
d)The population from which we are sampling must not be normally distributed.

Answer 1

The central limit theorem can be used when the sample size is sufficiently large.

Step-by-step explanation:

The necessary condition for the central limit theorem to be used is that the sample size must be sufficiently large.

In some sources, it is stated that the sample size must be at least 30. However, this is just a general guideline.

As the sample size increases, the sampling distribution of the sample mean will approach normality, regardless of the distribution of the population from which the samples were drawn.