Process and Product Optimization using Response Surface Methodology, Process Quality control via Control charts, Statistical Modeling to predict input-output behavior of systems, are some of the contributions in my opinion, there are possibly numerous other such areas which i am sure experts dealing with them will be able to enlighten you about.
Without data there is no platform to experiment therefore understanding and sequencing the data is important, we can find plenty of applications in engineering fields both qualitatively and quantitatively