I've been fortunate to work with a few food manufacturers working to resolve long-standing Quality problems. My background in applied statistics meant that I was able to contribute a lot to understanding process behaviour through existing data. In one case, we resolved a very costly problem using clue generating methods that identified the root of the problem. These are uncommon, but powerful methods in problem solving.
Manufacturers typically take lots of measurements and have large amounts of data. This data often contains insights into process behaviour.
Medical device manufacturers are subject to the most stringent Quality requirements and Good Manufacturing Practices. I've worked with some very smart people in this industry on designing complex experiments and we've discovered insights that were not known beforehand.