Properties of Sampling Distributions
Rank the following statements in the logical sequence that describes the central limit theorem (CLT) and its implications for the sampling distribution of the mean:
A: The sampling distribution of the sample mean approaches normality as the sample size increases.
B: The sample mean has a mean equal to the population mean $$\mu$$.
C: The standard deviation of the sample mean is equal to the population standard deviation divided by $$\sqrt{n}$$.
D: Averages based on larger samples exhibit less variability than individual observations.
Express your answer as an ordering of the statement labels (for example, “A, B, C, D”).
A
A, C, B, D
B
A, B, C, D
C
B, A, D, C
D
D, C, B, A
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