AP Statistics Sampling Distributions

Front

What happens to the shape of a sampling distribution of sample means as n increases?

Back

It becomes narrower and more normal.

Front

What is the standard deviation of the sampling distribution if the population standard deviation is 20 and the sample size is 25?

Back

4

Front

What do the symbols μ and σ represent in statistics?

Back

μ represents the mean and σ represents the standard deviation.

Front

What is the standard deviation of a population with a standard deviation of 20?

Back

20

Front

What is the standard deviation of the sampling distribution if the population mean is 200 and the sample size is 25?

Back

4

Front

What is the relationship between sample size and the shape of the sampling distribution?

Back

As sample size increases, the sampling distribution becomes more normal.

Front

What is the mean of the sampling distribution if the population mean is 200?

Back

200

Front

What is the formula for the standard deviation of the sampling distribution?

Back

σ/√n, where σ is the population standard deviation and n is the sample size.

Front

What does a bimodal distribution look like?

Back

A distribution with two different modes or peaks.

Front

What is the Central Limit Theorem?

Back

The theorem states that the sampling distribution of the sample mean will be normally distributed if the sample size is sufficiently large.