Final answer:
The z-score for (a) is 0.84, and the z-score for (b) is also 0.84.
Step-by-step explanation:
To find the z-score using the normal curve table, we first need to determine the area under the curve. In this case, (a) 20% are above you and (b) 80% are below you. The z-score for (a) can be found by subtracting 20% from 100% to get 80%. Looking up this area in the z-table, we find a z-score of approximately 0.84. The z-score for (b) can be found by subtracting 80% from 100% to get 20%. Looking up this area in the z-table, we also find a z-score of approximately 0.84. Therefore, the answer is (a) 0.84, (b) 0.84.