The model of asking the work team to think, to experiment, and to learn from the data, is the model of lean management. It is management that is humble and not arrogant. It is management that observes, encourages, challenges, and learns. It is management that gathers the facts, encourages experimentation, and spreads best practices. It is management that practices what they preach to others.
In short, lean management is very much about asking questions and trying things, or encouraging others to try things. Lean management itself is not much about providing the right answer but it is very much about asking the right question.