CSCI 3022 Lecture Notes - Lecture 13: Sampling Distribution, Statistical Inference, Independent And Identically Distributed Random Variables
6 Mar 2019
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Document Summary
Soon, we"ll talk about statistical inference, wherein we"ll infer things about the true mean of a populating using sample data sets. Mean gpa of all cu students -- sample of 30 students. Political polling the random variables x , x , , x are said to form a [sample] random sample of size n if. All x "s come from the same distribution we say these x "s are independent & identically distributed (cid:736) "iid" we use estimators to summarize our iid sample. 1. is the sample mean estimator of the population mean . 2. is the sample proportion (# in sample satisfying some characteristic of interest / total #) 3. s is the sample estimator for . Proposition: let x , x , , x ~ n( , ). then for any n We know everything there is to know about the distribution of the sample mean when the population distribution is normal.
