# What would be the mean, variance, standard deviation and shape of the distribution of sample means?

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.

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Solution:

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

Since Population is normally distributed,

Mean of ...

#### Solution Summary

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

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