5. Sampling Distributions

Sampling Distributions For Sample Means — Quiz

Test your understanding of sampling distributions for sample means with 5 practice questions.

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Practice Questions

Question 1

What is a sampling distribution of a sample mean?

Question 2

If a population has mean $\mu = 50$, what is the mean of the sampling distribution of $\bar{x}$ for samples of size $n$?

Question 3

A population has standard deviation $\sigma = 12$. If samples of size $n = 9$ are taken, what is the standard deviation of the sampling distribution of $\bar{x}$?

Question 4

Why does the sampling distribution of $\bar{x}$ usually become more nearly normal as the sample size increases?

Question 5

A population has mean $\mu = 100$ and standard deviation $\sigma = 20$. For samples of size $n = 25$, what is the standard deviation of $\bar{x}$?
Sampling Distributions For Sample Means Quiz — AP Statistics | A-Warded