What makes a distribution of sample means normal
The population the samples are obtained from are normal or the sample size is n=30 or more
What is sampling error
The difference between a sample’s result and the true result of the entire population, caused by random chance when a sample is not a perfect representation of the population
What is the central limit theorem
Under appropriate conditions, the distribution of a normalized version of the sample mean converges to a standard normal distribution
What is the law of large numbers
The larger the sample size (n) in a specific sample, the more probable that M is close to μ
How does one calculate standard error of the mean
σ/√n
What does standard error of the mean measure
The average expected difference between M and μ