Statistics Unit 5 Sampling Distributions

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statistic

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Number that describes some characteristic of a sample.

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parameter

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A number that describes some characteristic of a population.

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sampling variability

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The fact that different random samples of the same size from the same population produce different estimates.

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sampling distribution

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The distribution of values taken by a statistic in all possible samples of the same size from the same population.

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unbiased estimator

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A statistic used for estimating a parameter is unbiased if the mean of its sampling distribution is equal to the value of the parameter being estimated.

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sampling distribution of a sample proportion ρ̂

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The distribution of values taken by the sample proportion ρ̂ in all possible samples of the same size from the same population.

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sampling distribution of a sample mean x

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The distribution of values taken by the sample mean x in all possible samples of the same size from the same population.

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central limit theorem (CLT)

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In an SRS of size n from any population with mean µ and finite standard deviation σ, when n is sufficiently large, the sampling distribution of the sample mean x is approximately Normal.