Answer
Margin of error = 1.0304
Work Step by Step
The z score that corresponds to the confidence level 0.975 is 2.24.
Using z = 2.24, $\sigma$ = 4.6, n = 100 , margin of Error is given by:
z x $\frac{\sigma}{\sqrt n}$
2.24 x $\frac{4.6}{\sqrt 100}$
= 1.0304