If many samples of size 15 (that is, each sample consists of 15 items) were taken from a large normal population with a mean of 18 and variance of 5, what would be the mean, variance, standard deviation and shape of the distribution of sample means? Give reasons for your answers.
Note: Variance is the square of the standard deviation.© BrainMass Inc. brainmass.com September 19, 2018, 4:30 pm ad1c9bdddf - https://brainmass.com/statistics/distribution-of-data/what-would-be-the-mean-variance-standard-deviation-and-shape-of-the-distribution-of-sample-means-257477
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.