STA 2023 Lecture Notes - Lecture 28: Central Limit Theorem, Standard Deviation, Sampling Error
Document Summary
In addition to knowing how individual data values vary abut the mean for a population, statisticians are interested in knowing how the means of sample of the same size taken from the same population vary about the population mean. A sampling distribution of sample means is a distribution obtained by using the means computed from random samples of a specific size taken from a population. Sampling error is the difference between the sample measure and the corresponding population measure due to the fact that the sample is not a perfect representation of the population. The mean of sample means will be the same as the population mean. The standard deviation of the sample means will be smaller than the standard of the population, and will be equal to the population standard deviation divided by the square root of the sample size.
