Final answer:
The statement is false; resource leveling can alter when resources are used and may lead to changes in task assignments due to shifting timelines.
Step-by-step explanation:
The statement that resource leveling never changes who is assigned to tasks or the total work value of those assignments is false. Resource leveling is a project management technique used to address resource constraints by balancing the demand for resources with the available supply. While it does not change the total amount of work or the resources needed, it can alter when resources are utilized and can lead to changes in the project schedule to accommodate resource availability. Shifting timelines may sometimes impact who is assigned to tasks due to availability or skill set necessities. The purpose of resource leveling is multi-fold: it avoids over-allocation of resources and ensures that project timelines are realistic given the available resources.