Answer
$z_1=-1.88$
$z_2=1.88$
Work Step by Step
The middle 94% goes from the 3th percentile to the 97th percentile.
The area of the standard normal curve to the left of the 3rd percentile is equal to 0.03.
According to Table V, the z-score which gives the closest value to 0.03 is -1.88.
Due to the symmetry, the z-score for the 97th percentile is 1.88.