Question

what is the primary consideration regarding sample sizes and the central limit theorem?

Answer 1

Answer :

Central limit theorem (CLT) is used in the study of probability theory , the CLT states that the distribution of sample means approximates a normal distribution ( it is bell curve) as the sample size becomes larger , assuming that all samples are identical in sizes and regardless of the population distribution shape .

As a genearal rule , sample sizes equal to or greater than 30 are deemed sufficient for the CLT to hold .

meaning that the distribution of the sample means is fairly normally distributed . Therefore the more samples one takes the more the graphed results take the shape of a normal distribution .

that means as larger the sample sizes it it more likely go to the normal distribution .

in probabily theory , or testing CLT is more important .