Which quality management tool should the line process manager use in this sampling process?

Check sheets are useful for data collection but do not provide a time-based analysis of process variations. While they can help record the number of defects or occurrences of specific events, they lack the capability to visualize trends over time or assess the stability of a process, which is crucial for monitoring filling levels in bottling.

Scatter diagrams are used to identify relationships between two variables but are not suitable for monitoring process stability or variation over time. In the context of a bottling line, they would not effectively indicate whether bottles are being filled consistently or if there are any trends in overfilling or underfilling.

Cause-and-effect diagrams, also known as fishbone diagrams, help identify potential causes of problems but are not designed for ongoing process monitoring. They are more suited for root cause analysis rather than for tracking the performance of a sampling process in real-time to ensure proper filling levels.