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A sample of 230 observations is selected from a normal population for which the population standard deviation is known to be 22. The sample mean is 17. a. Determine the standard error of the mean.

Respuesta :

JeanaShupp

Answer: 49.04

Step-by-step explanation:

Given : Sample size : [tex]n=230[/tex]

Standard deviation : [tex]\sigma=22[/tex]

We know that the standard error of the mean is given by :-

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

Then , the standard error of the mean for the given situation will be :-

[tex]\text{S.E.}=\dfrac{230}{\sqrt{22}}\\\\\Rightarrow\text{S.E.}=49.0361647618\approx49.04[/tex]

Hence, the standard error of the mean = 49.04

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