Final answer:
The nurse manager's actions of convincing managers and supporting staff in implementing a change in evening client care correspond to Kotter's eight-step model's 'creating a guiding coalition' step.
Step-by-step explanation:
The scenario described involves implementing a change in evening care for clients that includes back rubs to promote sleep. Here, the nurse manager is working to build support among managers and nursing staff for this initiative. The component of Kotter's eight-step model that is involved in this scenario is creating a guiding coalition. This step is about assembling a group with enough power to lead the change effort, and getting them to work as a team.