Question

Select the margin of error that corresponds to the sample mean that corresponds to each population: A population mean of 25, a standard deviation of 2.5, and a margin of error of 5%.

A.) 25


B.) 20


C.) 30



PLEASE ANSWER FAST I DONT KNOW HOW TO DO THIS :(

Answer 1

I think it is 25.

Explanation:

Answer 2

Answer with explanation:

Population Mean = 25

Standard Deviation =2.5

`Z_ {Score} =(5)/(100)\\\\Z_ {Score} =0.05\\\\Z_(0.05)=0.5199`

Let ,Margin of error= m

And, Sample Population = n

`m=Z_(0.05) * (\sigma)/(√(n))\\\\ m=0.5199 * (2.5)/(√(25))\\\\m=0.5199 * 0.5\\\\m=0.25995`

m= 0.2599 × 100%

m=25.99%=26%

Option A: 25=Margin of error