Question

What is the standard error of a sampling distribution with a population standard deviation of 12 and the sample size of 81?

Answer 1

Answer: d. 1.3333

Step-by-step explanation:

We know that the standard error of a sampling distribution is given by :-

$S.E.=\dfrac{\sigma}{\sqrt{n}}$

, where $\sigma$ = Population standard deviation.

n= Sample size.

AS per given , we have

$\sigma =12$

n=81

Then, the standard error of a sampling distribution with a population standard deviation of 12 and the sample size of 81 will be :-

$S.E.=\dfrac{12}{\sqrt{81}}$

$=\dfrac{12}{\sqrt{9^2}}=\dfrac{12}{9}\\\\=\dfrac{4}{3}\\\\\approx1.3333$

Hence, the standard error of a sampling distribution with a population standard deviation of 12 and the sample size of 81 is 1.3333.

Thus the correct answer is d. 1.3333 .