Final answer:
The nucleolus does not produce ribosomes, it assembles ribosomal subunits.
Step-by-step explanation:
False
The nucleolus is responsible for assembling ribosome subunits, not producing them. It is a darkly staining area within the nucleus that aggregates ribosomal RNA with associated proteins to assemble the ribosomal subunits. Once assembled, the subunits are transported out of the nucleus through the nuclear pores to the cytoplasm.