Question

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

a. Zero
b. 36/12
c. 12/36
d. 1.3333

Answer 1

Answer: d. 1.3333

Explanation:

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

`S.E.=(\sigma)/(√(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.=(12)/(√(81))`

`=(12)/(√(9^2))=(12)/(9)\\\\=(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 .