Question

If the standard deviation of the sampling distribution of sample means is 5.0 for samples of size 16, then the population standard deviation must be

Answer 1

20

Explanation:

The question states that the sample size is 16 and standard deviation of sampling distribution of sample mean also known as standard error is 5. This information can be written as

σxbar=standard error=5 ,n=sample size=16.

We have to find population standard deviation σ.

We know that

`Standard error=(population standard deviation)/(√(n) )`

`population standard deviation=√(n) *(standard erorr)`

`√(n) =√(16) =4`

Population standard deviation=σ=4*5=20