Tool Set for Improving Transactional Processes

You are right on the money.  I have worked in a financial organization for three years and found that the statistical tools you discussed were rarily utilized in the tranactional world. However, some of the hypothesis testing was useful to determine whether or not we made a difference in our results.

Most gains are wityh the tools you spoke of, I'd like to add that as I created the training modules I found that more of the lean tools such as Value Stream mapping and 5S, visual office etc were very useful.

I want to make a comment that while the statistical tool were less useful I would not name someone a greenbelt or Blackbelt without requiring a full competency in those tools.