Final answer:
The statement is true, as a critical path consists of all critical activities which determine the shortest completion time for a project.
Step-by-step explanation:
A critical path is indeed composed entirely of critical activities. This statement is true. In project management, the critical path is the sequence of project network activities which add up to the longest overall duration. This path determines the shortest time possible to complete the project. Any delays in critical path tasks will delay the project's completion, and thus, every step in this path is considered critical.