STAT-2126EL Lecture 3: How to Misuse Stats, Distribution of Sample Means
Document Summary
We move from the realm of defining statistics and parameters to using statistics to estimate parameters. We want to use a sample to estimate characteristics of a population using inferential. The first estimation we want to look at is the estimation of from m. Example: want to know what the percentage of different coloured beans there are in a jar: provided that the sample is drawn at random, its mean - the sample mean - is an unbiased estimate of . This all depends on the size of the sample. The law of large numbers tells us that as the sample size approaches the size of the population become a better and better estimate of . Distribution of sample means - is a sampling distribution of the m. i step four you picked sample mean as the statistic you are interested in.