A theorem that allows us to use the normal probability distribution to approximate the sampling distribution of sample means and sample proportions whenever the sample size is large is known as the a. approximation theorem b. normal probability theorem c. central limit theorem d central normality theorem

Question

Mathematics

Sloane Bennett

22 November, 12:51

A theorem that allows us to use the normal probability distribution to approximate the sampling distribution of sample means and sample proportions whenever the sample size is large is known as the a. approximation theorem b. normal probability theorem c. central limit theorem d central normality theorem

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Answers (1)

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Kelsey Harrison · Answer 1

c. central limit theorem

Step-by-step explanation:

It is the central limit theorem that estabilishes that the sampling distribution of sample means and sample proportions whenever the sample size is large tends toward a normal distribution, even if the original variables are not normally distributed.

So, the correct answer is:

c. central limit theorem