Final answer:
A safety engineer is investigating the cause of industrial accidents at her plant by randomly sampling accident reports to gauge compliance with safety procedures.
Step-by-step explanation:
The scenario presented describes a safety engineer who is concerned about industrial accidents caused by a failure to follow safety procedures at her plant. With a belief that 35 percent of accidents are due to noncompliance with instructions, the engineer uses a method of random sampling to review accident reports. This process involves selecting accident reports at random, analyzing them, and then returning them to the pile. The goal is to determine the frequency of accidents that could have been prevented if safety instructions had been followed. This approach to monitoring and improving safety standards is critical to reducing workplace injuries and maintaining a safe working environment.