Final answer:
To find the z-score such that the area under the standard normal curve to the right is 0.171, the z-score can be calculated using the z-table. The z-score is approximately 0.968.
Step-by-step explanation:
To find the z-score such that the area under the standard normal curve to the right is 0.171, we need to find the value in the z-table that corresponds to an area of 0.829 (1 - 0.171) to the left. Looking up this value in the z-table, we find that the z-score is approximately 0.968.