Statistical Sciences 1024A/B Lecture Notes - Lecture 11: Simple Random Sample, Bias Of An Estimator, Randomness

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Take a random sample from a larger population. Make inferences about the population from the sample. We tend to trust inferences because although each individual measurement is uncertain, we know how things should act in the long run. A parameter is a number that describes some aspect of the population. A statistic is a number that is computed from the sample o: the statistic is often used to estimate the unknown parameter. Population: the entire group of individuals in which we are interested but can"t usually assess directly. A parameter is a number describing a characteristic of the population. Sample: the part of the population we actually examine and for which we do have data. A statistic is a number describing a characteristic of a sample. We often use a statistic to estimate an unknown population parameter. Suppose the parameter is the population mean . Take a random sample and measure the sample average.

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