MAT 2379 Lecture Notes - Lecture 8: Sample Size Determination, Canadian Wildlife Federation, Central Limit Theorem

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The goal of the statistical inference is to draw conclusions about an unknown parameter which describes a feature of the population (given by a measurement. X). the observed value of an estimator of a population parameter is called a point estimate. For example, the sample mean x = 35 is a point estimate of the population mean . In this chapter, we introduce the method of estimation by confidence intervals, for estimating the unknown parameter. This method produces an interval of possible values that includes the unknown parameter with a high probability. Our conclusions will be based on the observed values x1,,xn of the measurement x for a particular sample drawn from the population. Note that x1,,xn can be regarded as the observed values which correspond to some random measurements x1,,xn. The measurements x1,,xn are independent and have the same distribution as x. A point estimator for the population mean is the theoretical quantity:

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