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

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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:

[tex]\mathbf{S.E = \dfrac{\sigma }{\sqrt{n}}}[/tex]

where;

  • standard deviation [tex]\sigma[/tex] = 24
  • sample size n = 4

[tex]\mathbf{S.E = \dfrac{24 }{\sqrt{4}}}[/tex]

[tex]\mathbf{S.E = \dfrac{24 }{2}}[/tex]

S.E = 12

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