AP Statistics Ch 18 Sampling Distrns MU

Front

What is the shape of the sampling distribution if the population distribution is strongly right-skewed and the sample size is large (n = 49)?

Back

Approximately Bell Shaped because the Central Limit Theorem tells us it will be.

Front

What is a distribution showing the sample means of all samples of size n of a population called?

Back

Sampling Distribution

Front

If the population mean (μ) is 794, the population standard deviation (σ) is 48, and the sample size (n) is 64, what are μ_x-bar and σ_x-bar?

Back

μ_x-bar = 794, σ_x-bar = 6

Front

What is the sufficiently large condition for sample size in statistics?

Back

Our sample size n should be 30 for means and np & nq must be greater than or equal to 10 for proportions.

Front

What is the probability that the mean of a sample of 40 potato chip bags, with a mean weight of 10.5 ounces and a standard deviation of 3 ounces, is less than 10 ounces?

Back

P = .1459

Front

What does the Central Limit Theorem state about the sampling distribution of the sample mean?

Back

As the sample size increases, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Front

Define 'Sampling Distribution'.

Back

A sampling distribution is the probability distribution of a statistic (like the sample mean) obtained from a large number of samples drawn from a specific population.

Front

What is the formula for the standard deviation of the sampling distribution (σ_x-bar)?

Back

σ_x-bar = σ / √n, where σ is the population standard deviation and n is the sample size.

Front

What is the mean of the sampling distribution (μ_x-bar)?

Back

μ_x-bar = μ, where μ is the population mean.

Front

What is the significance of the sample size in determining the shape of the sampling distribution?

Back

Larger sample sizes lead to a sampling distribution that is more normally distributed, even if the population distribution is not.