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  1. AP Statistics
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What is a sampling distribution?

The distribution of sample statistics (e.g., sample means) calculated from multiple samples taken from the same population.

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What is a sampling distribution?

The distribution of sample statistics (e.g., sample means) calculated from multiple samples taken from the same population.

What is standard error?

The standard deviation of a sampling distribution; it measures the variability of sample statistics around the population parameter.

Define Central Limit Theorem (CLT).

The CLT states that the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the population distribution's shape.

Define population mean.

The average value of a variable in the entire population.

Define sample mean.

The average value of a variable calculated from a sample of the population.

What is the formula for the standard deviation of the sample mean (standard error)?

σxˉ=σn\sigma_{\bar{x}} = \frac{\sigma}{\sqrt{n}}σxˉ​=n​σ​

What is the formula for the standard error of the sample proportion?

σp^=p(1−p)n\sigma_{\hat{p}} = \sqrt{\frac{p(1-p)}{n}}σp^​​=np(1−p)​​

What is the formula for calculating the mean of the sampling distribution of the sample mean?

μxˉ=μ\mu_{\bar{x}} = \muμxˉ​=μ

What are the differences between standard deviation and standard error?

Standard Deviation: Measures the spread of individual data points in a single sample or population. | Standard Error: Measures the spread of sample statistics (e.g., sample means) in a sampling distribution.