For a Normal Distribution as samples size increases the Range in Mean and Standard Deviation decrease relative to the Mean and Standard Deviation of the population.

Question

Quizplus · Accepted Answer

This is because as sample size increases, the sample mean becomes a better estimate of the population mean, and the sample standard deviation becomes a better estimate of the population standard deviation. As a result, the range in mean and standard deviation decreases relative to the population values.

For a Normal Distribution as Samples Size Increases the Range