Which agency establishes standards for the project monitor's final visual inspection?

The correct choice is ASTM because the American Society for Testing and Materials (ASTM) establishes procedures and standards for various materials and practices, including those related to asbestos. Specifically, ASTM has guidelines for the final visual inspection of asbestos abatement projects, ensuring that they meet necessary cleanliness and safety criteria. These standards are crucial for project monitors to follow, as they provide a consistent framework to assess the effectiveness of an asbestos removal effort and confirm that a space is safe for reoccupation.

While other organizations like ISO, NIOSH, and EPA have important roles in the broader context of safety and environmental standards, including regulations and health guidelines, it is ASTM that specifically focuses on the practical methodologies for conducting inspections and testing materials in this context. This specialization makes ASTM the relevant authority for establishing the standards that project monitors must adhere to during a final visual inspection.