STAT200 Lecture Notes - Lecture 5: Sampling Distribution, Bias Of An Estimator, Statistic
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Sampling distribution of the mean, key to the logic of inference. It is based on the notion of taking many, many samples and making an estimate from each sample: sampling error , parameter numerical descriptive measure of the population, we use greek terms to represent it. We can think of this as homogeneity: the larger the sample size, the more homogenous the population, the, properties of the sampling distribution for the mean smaller the standard error is for our estimator. If a random sample of size n is drawn from a population with the mean my and. Sampling distributions, hypothesis tests and confidence intervals: a major theorem is the central limit theorem, we use two theorems to help us make inferences. If repeated samples of a variable y of the size n are drawn rom a normal distribution, with the mean and variance: the sampling distribution of the mean will be a normal distribution with, mean, variance.