The standard error of sample mean is : (a) fracσ√(n) (b) fracσ√(2n) (c) fracσ²√(n) (d) (σ)/(n)

Question 36 of 39

Q. The standard error of sample mean is :

(a)

\frac{\sigma}{\sqrt{n}}

(b)

\frac{\sigma}{\sqrt{2n}}

(c)

\frac{\sigma^2}{\sqrt{n}}

(d)

\frac{\sigma}{n}

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$S.E.(\bar{X}) = \dfrac{\sigma}{\sqrt{n}}$ .

The sample mean $\bar{X}$ has variance $\dfrac{\sigma^2}{n}$ , where $\sigma^2$ is the population variance and $n$ is the sample size. Its standard error is the square root of that variance:

$S.E.(\bar{X}) = \sqrt{\frac{\sigma^2}{n}} = \frac{\sigma}{\sqrt{n}}.$

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