STAT-1401 Lecture Notes - Lecture 6: Statistic, Sampling Distribution, Statistical Parameter

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Sampling distribution of the sample mean x . Applications of the sampling distribution of the sample mean x . Sampling distribution of the sample proportion p . Applications of the sampling distribution sample proportion of p . A parameter is a population characteristic, such as the population mean. A statistic is a sample characteristic, such as the sample mean. A point estimate of the population mean is the sample mean, calculated from the random sample data. Note : x is based on a subset of the population is the population parameter and x is the sample mean or statistic. In statistics, sampling error or estimation error is the error caused by observing a sample instead of the whole population. As we already know, we use a sample to estimate population characteristics. Suppose the parameter is the population mean . Take a random sample and measure the sample average x to estimate .

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