Sampling_dist_week_5 - Sampling distributions Parameter...

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Sampling distributionsParameterStatisticEstimatorPoint estimatorCommonly used parameters and their estimatorsSampling distributionCentral limit theoremUse of central limit theorem
Parameter, statistic, estimator, pointestimatorNumerical descriptive measures of apopulationare calledparametersAstatisticis a function of the observations in a randomsampleAnestimatoris a statistic that specifies how to use the sampledata to estimate an unknown parameter of the populationApoint estimatorgives a single number as an estimate of theunknown parameter value
Commonly used parameters andestimatorsAll the estimators presented in this table arepoint estimatorsA realization for an estimator is called anestimateNotation forestimators
Sampling distributionA random variable coming from a population follows aprobability distributionand has astandard deviationA function of random variables (estimator) follows asamplingdistributionand has a standard deviation called thestandarderror.EXAMPLE (SAMPLING DISTRIBUTION OF THE MEAN)Let X be the height of a person in the statistics course that provided the dataa)

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