SOAN 2120 Lecture Notes - Lecture 9: Standard Deviation, Statistical Parameter, Sample Size Determination

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Statistical inference: we will use samples to estimate population values, just as variable have distributions, sample statistics have distributions as well. The distribution of a variable using data from our sample: population distribution: The distribution of the variable in the population: sampling distribution: The distribution of the mean of a variable from all possible samples. States that the mean also has a distribution as well as the entire sample has a distribution. This occurs as we take multiple samples and calculate the same statistic, such as height, and we calculate the mean of each of the samples. Every time we take a sample we will calculate the mean for it. We are going to take the mean of one sample and place it into a histogram, in which we stack equal means on top of each other and the rest along the histogram.

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