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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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