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Unformatted text preview: Lecture Notes Chapter Six: Sampling Distributions Randall Miller 1 | P a g e 1. The Concept of a Sampling Distribution Definition 6.1 A parameter is a numerical descriptive measure of a population. Because it is based on the observations in the population, its value is almost always unknown. Definition 6.2 A sample statistic is a numerical descriptive measure of a sample. It is calculated from the observations in the sample. List of Population Parameters and Corresponding Sample Statistics Population Parameter Sample Statistic Mean: µ x Variance: 2 σ 2 s Standard Deviation: σ s Binomial proportion: p ˆ p Definition 6.3 The sample distribution of a sample statistic calculated from a sample of n measurements is the probability distribution of the statistic. The sample distribution is constructed under the concept of repeated sampling, meaning that if we could collect an infinite number of samples of size n , and then calculate, say the mean of all these samples, we would be able generate a frequency histogram to get an idea of what the distribution...
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This note was uploaded on 07/23/2011 for the course STA 3123 taught by Professor Staff during the Fall '08 term at FIU.
- Fall '08