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AP Statistics/Unit 5: Sampling Distributions
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Properties of Sampling Distributions

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Arrange the following statements, which describe properties of the sampling distribution of a sample mean and the central limit theorem (CLT), into a logical sequence.

A: The shape of the sampling distribution of the sample mean becomes approximately normal as the sample size increases.
B: The mean of the sampling distribution of the sample mean is equal to the population mean μ\mu.
C: The standard deviation of the sampling distribution of the sample mean is the population standard deviation divided by n\sqrt{n}.
D: Sample means based on larger samples exhibit less variability.

A

A, B, C, D

B

B, A, D, C

C

D, C, B, A

D

A, C, B, D

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