Which of the following is guaranteed by the central limit theorem? a. The sampli

Question

Which of the following is guaranteed by the central limit theorem?

a. The sampling distribution of certain classes of statistics will always be normally distributed regardless of the shape of the parent population.

b. As sample size increases, the sampling distribution of x-bar will more closely approximate the normal curve when the sampled population has a nonnormal shape.

c. The sampling distribution of x-bar is always normally distributed.

d. The sampling distribution of x-bar will always have the same shape as the sampled population.

Explanation / Answer

Option B

The central limit theorem guarantees that as sample size increases, the sampling distribution of x-bar will more closely approximate the normal curve when the sampled population has a nonnormal shape

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