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a vairable x is normally distribtuted in a population with mean u and standard deviation rho. the standard error of the mean of a simple random sample of size 100 chosen fronm the population is 13.941. compute the population stadard deviation. give your answer precise to two decimal places



Answer :

Tutorconsortium423

Therefore, the solution to this given problem is the standard deviation comes out to be 139.41 .

What does standard deviation mean and how is it used?

A measure of how far measurements for a group deviate from the mean is called standard deviation (mean or expected value). A low standard deviation indicates that most of the numbers are within a few standard deviations of the average, whereas a large standard deviation indicates that the numbers are more dispersed.

Here,

Given:

sample size(n) =100

SE =13.941

Since we are aware, the standard error of the mean

=> SE = [tex]\frac{\alpha }{\sqrt{n} }[/tex]

So α = SE * [tex]\sqrt{n}[/tex] = 13.941 * 10 = 139.41

Therefore, the standard deviation comes out to be 139.41 .

To know more about standard deviation , visit

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