Sample Distribution For Mean
Sample Distribution For Mean. When the distribution of the population is normal, then the distribution of the sample mean is also normal. If repeated random samples of a given size n are taken from a population of values for a quantitative variable, .
For samples of any size drawn from a normally distributed population, the sample mean is normally distributed, with mean μˉx=μ and standard deviation σˉx=σ/√n, .
The sampling distribution of the sample mean can be thought of as for a sample of size n, the sample mean will behave according to this . When the distribution of the population is normal, then the distribution of the sample mean is also normal. For samples of any size drawn from a normally distributed population, the sample mean is normally distributed, with mean μx=μ and standard . The sampling distribution of the sample mean can be thought of as for a sample of size n, the sample mean will behave according to this .
