AP Statistics Ch 18- Sampling Distributions

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 (Standard deviation of the sampling distribution = population standard deviation / √n = 20 / √25 = 4)

Front

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

Back

It becomes narrower and more normal.

Front

In a sampling context, what does 'n' represent?

Back

The sample size.

Front

What do the symbols μ and σ represent in the context of a sampling distribution?

Back

μ represents the mean of the sampling distribution, and σ represents the standard deviation of the sampling distribution.

Front

What is the difference between the population mean (μ) and the sample mean (x̄)?

Back

μ is the mean of the entire population, while x̄ is the mean of a sample taken from that population.

Front

What is the Central Limit Theorem?

Back

The Central Limit Theorem states that the sampling distribution of the sample mean will be approximately normally distributed if the sample size is sufficiently large, regardless of the shape of the population distribution.

Front

If the population proportion is 0.28, what does phat represent in a sample of 50 students?

Back

phat represents the sample proportion, which is the number of successes (students believing it will snow) divided by the sample size.

Front

What is the formula for the standard error of the mean?

Back

Standard Error (SE) = σ / √n, where σ is the population standard deviation and n is the sample size.

Front

What is the relationship between sample size and the standard error of the mean?

Back

As the sample size increases, the standard error of the mean decreases.

Front

What does a narrower sampling distribution indicate about the sample means?

Back

A narrower sampling distribution indicates that the sample means are closer to the population mean.