Final answer:
The false statement is that the D'' layer represents the boundary between continental and oceanic lithosphere; actually, it's located at the core-mantle boundary.
Step-by-step explanation:
The statement about the D'' layer that is false is: 1) the D'' layer represents the boundary between continental and oceanic lithosphere. In reality, the D'' layer is located at the core-mantle boundary, deep below both the continental and oceanic lithosphere. This layer is believed to be where subducted tectonic plates may terminate, and it's known for a sharp increase in temperature with increasing depth. Additionally, the D'' layer may be the source of plumes of heat that ascend to the Earth's surface.