Final answer:
The coordinator of the quality group is exercising legitimate power, which is the authority given by their role within the organization to invite the CNL to join the quality improvement committee.
Step-by-step explanation:
The coordinator of the quality group inviting the clinical nurse leader (CNL) to join the group is demonstrating legitimate power. Legitimate power is the authority that a person holds as part of a role or position within an organization.
In this context, the coordinator has the recognized authority to invite new members to the quality improvement committee. This type of power is based on the established structures and policies within the organization, and it is recognized by other members of the organization as well.