Sampling dist week 5 - Sampling distributions Parameter...

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Sampling distributions Parameter Statistic Estimator Point estimator Commonly used parameters and their estimators Sampling distribution Central limit theorem Use of central limit theorem
Parameter, statistic, estimator, point estimator Numerical descriptive measures of apopulationare called parameters Astatisticis a function of the observations in a randomsample Anestimatoris a statistic that specifies how to use the sample data to estimate an unknown parameter of the population Apoint estimatorgives a single number as an estimate of the unknown parameter value
Commonly used parameters and estimators All the estimators presented in this table arepoint estimators A realization for an estimator is called anestimateNotation for estimators
Sampling distribution A random variable coming from a population follows a probability distributionand has astandard deviation A function of random variables (estimator) follows asampling distributionand has a standard deviation called thestandard error. EXAMPLE (SAMPLING DISTRIBUTION OF THE MEAN) Let X be the height of a person in the statistics course that provided the data a)

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