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Which of the following statements is NOT true concerning sample size and corresponding characteristics of the sampling distribution for a sample mean?

A

For very small sample sizes, the shape of the sampling distribution will generally match the shape of the population distribution.

B

For very large sample sizes, the shape of the sampling distribution will always be approximately normal.

C

For very small sample sizes, the sampling distribution will have a smaller spread around the mean than for very large sample sizes.

D

For very large sample sizes, the center of the sampling distribution will be at the population mean.

E

Regardless of sample size, the sampling distribution may contain a few outliers.

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