Statement I ;  p-orbital cannot form a sigma bond

Statement II ; ${\mathrm{\pi }}_{\mathrm{p}-\mathrm{p}}$ overlap is stronger than ${\mathrm{\sigma }}_{\mathrm{s}-\mathrm{s}}$ overlap

Statement I ;  p-orbital can form sigma bond or a pi bond. In F₂ molecule the overlap is ${\mathrm{\sigma }}_{\mathrm{p}-\mathrm{p}}$.

Statement II ; ${\mathrm{\pi }}_{\mathrm{p}-\mathrm{p}}$ overlap is weaker than ${\mathrm{\sigma }}_{\mathrm{s}-\mathrm{s}}$ overlap. A pi bond is weaker than a sigma bond.