As the Sample Size $n$ Increases, the Shape of the Distribution of the Sample Means

Short Answer

As the sample size $n$ increases, the shape of the distribution of the sample means taken with replacement from a population with mean $\mu$ and standard deviation $\sigma$ , will approach a normal distribution. This distribution will have a mean of $\mu$ and a standard deviation of $\frac { \sigma } { \sqrt { n } }$ . This is a statement of the___________