The Central Limit Theorem is important in statistics because

a) for a large n, it says the population is approximately normal.

b) for any population, it says the sampling distribution of the sample mean is approximately normal, regardless of the sample size

c) for a large n, it says the sampling distribution of the sample mean is approximately normal, regardless of the shape of the population

d) for any sized sample, it says the sampling distribution of the sample mean is approximately normal.

Question

Damian Bauer

Mathematics

28 May, 18:08

The Central Limit Theorem is important in statistics because

a) for a large n, it says the population is approximately normal.

b) for any population, it says the sampling distribution of the sample mean is approximately normal, regardless of the sample size

c) for a large n, it says the sampling distribution of the sample mean is approximately normal, regardless of the shape of the population

d) for any sized sample, it says the sampling distribution of the sample mean is approximately normal.

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Answers (1)

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Brianna Todd · Answer 1

c) for a large n, it says the sampling distribution of the sample mean is approximately normal, regardless of the shape of the population

Step-by-step explanation:

The central limit theorem tells us that if we have a large sample size, the distribution made up of the sample means will have an approximately normal shape. It does not matter what the shape of the population is, as long as the sample size is large enough.