CH6 Notes

# CH6 Notes - Estimation of Parameters A point estimator is a...

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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. 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. We estimate the parameter, μ with the confidence interval

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CH6 Notes - Estimation of Parameters A point estimator is a...

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