Final answer:
The range chart (r-chart) is most likely to detect a change in process variability over time. It is a useful tool for quality control and process improvement.
Step-by-step explanation:
The range chart, also known as the r-chart, is a statistical control chart used to monitor process variability. It is most likely to detect a change in the variability of a process over time.
For example, let's say you are monitoring the weight of cereal boxes being produced in a factory. The range chart will help you identify if there are any sudden changes in the variability of the weights of the boxes. If there is a significant increase or decrease in the range of weights, it suggests a change in the process that needs to be investigated.
The range chart is a useful tool for quality control and process improvement, as it helps identify when a process is no longer stable and requires attention.