As the sample size increases, which of the following are true: I) the sample mea

Question

As the sample size increases, which of the following are true: I) the sample mean tends to fall closer to the population mean II) the sampling distribution of the sample mean approximates the population distribution III) the standard error decreases Select one: A. I only B. both I and III C. II only D. all of these E. III only

Which of the following are true: I) the population distribution is approximately normal for large enough n II) the sampling distribution of is approximately normal for any n III) regardless of the population distribution, the mean of the sampling distribution of equals the population mean Select one: A. II only B. I only C. III only D. all of these E. none of these

Explanation / Answer

III) the standard error decreases as  sample size increases, so E

II) the sampling distribution of is approximately normal for any n So A. II only

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