If many samples of size 15 (that is, each sample consists of 15 items) were taken from a large normal population with a meanof 18 and varianceof 5, what would be the mean, variance, standard deviationand shape of the distribution of sample means? Give reasons for your answers.

Note: Variance is the square of the standard deviation.

Solution:

Population standard deviation=square root of population variance=sqrt(5)= 2.2361

Since Population is normally distributed,

Mean of …

Solution discusses mean, standard deviation and variance of a given sampling distribution with formulas and calculations.