The standard error of the mean for 100 samples having a mean of 44 and a standard deviation of 14 is 1.4
No. of samples = 100
The mean of those samples = 44
The standard deviation of those samples = 14
The standard error of the mean can be found using the formula
[tex]\displaystyle \sigma_{\bar x} = \frac{\sigma}{\sqrt n}[/tex]
where [tex]\displaystyle \sigma_{\bar x}[/tex] is the standard error of the mean
σ is the standard devaition
n is the number of samples.
Let us substitute the known values in the above, we get
[tex]\displaystyle \sigma_{\bar x}[/tex] = 14 / √100
= 14 / 10
= 1.4
Therefore, the standard error of the mean is 1.4
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