Methods of statistical inference for chapter 6

# Methods of statistical inference for chapter 6 - Estimation...

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Estimation of Parameters A point estimator is a rule or formula that tells us how to calculate a numerical estimate based on the measurements contained in a sample. The single number that results from the calculation is called a point estimate. An interval estimator is a formula that tells us how to use sample data to calculate an interval that estimates a population parameter. We want to estimate the parameter, μ. We use the _ sample mean x as our point estimate and we need the distribution of the sample mean to determine the interval. Distribution of Sample Mean _ The expected value, E(x) = μ and the standard error _ _ SE(x) = σ/ √n.

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If the sample comes from a normal distribution then the distribution of the sample mean is normal. If the sample comes from a non-normal distribution the distribution of the sample mean approaches a normal distribution as the sample size increases, due to the Central Limit Theorem.
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