Answer
.5000-.4175=.0825
-1.39
Work Step by Step
To find the z score given the area, we have to find the area under the curve to the left of the z score. Since we are given the area above the z score to the halfway point, we can subtract the given area from 50% of the area. This gives us .0825. We must then refer to table e in the back of the book. Locating the value nearest .0825, we can find that our z score is roughly -1.39.