Question

The standard deviation of a normally distributed population is 24.0. A sample of size 4 is randomly selected. The standard error of the mean is

Answer 1

The standard error of the mean is 12.

The standard error of the mean points to the standard deviation of the distribution of a sample mean obtained from a population.

The standard error S.E of the mean can be calculated by using the formula:

$\mathbf{S.E = \dfrac{\sigma }{\sqrt{n}}}$

where;

• standard deviation $\sigma$ = 24
• sample size n = 4

$\mathbf{S.E = \dfrac{24 }{\sqrt{4}}}$

$\mathbf{S.E = \dfrac{24 }{2}}$

S.E = 12

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