Answer:
The standard error for her sample is SE = 0.6095
Step-by-step explanation:
By definition, the standard error of the mean is:
[tex]SE = \frac{\sigma}{\sqrt{n}}[/tex]
Where:
[tex]\sigma[/tex] is the standard deviation
[tex]n[/tex] is the sample size.
For the information provided in the problem we know that:
[tex]\sigma = 8.62[/tex]
[tex]n = 200[/tex]
Then we introduce these values in the formula of the error to obtain the value.
[tex]SE = \frac{8.62}{\sqrt{200}}[/tex]
[tex]SE = 0.6095[/tex]