Final answer:
The primary difference is that a project manager focuses on planning and aligning the project with business goals, while a scrum master facilitates the scrum team's efficiency and adherence to agile practices. The correct option that defines this difference is 'a. the project manager creates the detailed delivery plans while the scrum master monitors execution within the team'.
Step-by-step explanation:
One key difference in responsibility between a project manager and a scrum master in an agile project is that the project manager is typically in charge of creating detailed delivery plans and ensuring that the project aligns with business goals, whereas the scrum master focuses on facilitating the development process and enabling the scrum team to work efficiently.
The correct option that outlines this difference is 'a. the project manager creates the detailed delivery plans while the scrum master monitors execution within the team'. The scrum master plays a crucial role as a servant-leader for the scrum team, ensuring that agile principles are adhered to, helping to remove impediments, and fostering an environment where the team can be highly productive.
In contrast, the project manager has a broader role that extends beyond the scrum team. They are responsible for the project's overall planning, budgeting, and documentation. They also communicate with stakeholders, including project oversight authorities, and ensure that the project delivers the benefits outlined in the business case.