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-The central limit theorem tells us that as the sample size gets larger,
A)the mean of the sampling distribution becomes equal to the population mean.
B)the standard error of the mean decreases in size.
C)the closer the sample means will be to the population mean.
D)the sample statistics clusters away from the population parameter.

Question

Quizplus · Accepted Answer

The central limit theorem states that as the sample size gets larger, the mean of the sampling distribution becomes equal to the population mean (A), the standard error of the mean decreases in size (B), and the sample means will be closer to the population mean (C). Option D is incorrect, as the sampling distribution statistic should closely reflect the population parameter as the sample size grows larger.