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 :(

Respuesta :

Answer:

I think it is 25.

Step-by-step explanation:

Answer with explanation:

Population Mean = 25

Standard Deviation =2.5

[tex]Z_ {Score} =\frac{5}{100}\\\\Z_ {Score} =0.05\\\\Z_{0.05}=0.5199[/tex]

Let ,Margin of error= m

 And, Sample Population = n  

[tex]m=Z_{0.05} \times \frac{\sigma}{\sqrt{n}}\\\\ m=0.5199 \times \frac{2.5}{\sqrt{25}}\\\\m=0.5199 \times 0.5\\\\m=0.25995[/tex]

m= 0.2599 × 100%

m=25.99%=26%

Option A: 25=Margin of error