STAT 2507 Chapter Notes - Chapter 7: Sampling Distribution, Binomial Distribution, Statistical Inference
17 Jan 2015
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Chapter 7: parameters are numerical descriptive measures for populations. For the normal distribution, the location and shape are described by and . The numerical descriptive measures that calculate from the sample are called statistics. (cid:7) sampling distributions. The sampling distribution of a statistic is the probability distribution for the possible values of the statistic that results when random samples of size n are repeatedly drawn from the population. Sampling distributions for statistics can be: derived mathematically using the laws of probability, approximated with simulation techniques, used statistical theorems to derive exact or approximate sampling distribution. The central limit theorem is one such theorem. If random samples of n observations are drawn from a nonnormal population with nite. And standard deviation , then when n is large, the sampling distribution of the sample mean x is approximately normally distributed, with mean and standard deviation / n. The approximation becomes more accurate as n becomes large.
