I disagree with the "correct" answer; it would rather mean
The women's coats, i.e. the coats of some specific women both you and I have in mind.
If this were a department store's sign, denoting where they keep coats for women, it would probably be something like Kadın ceketleri or Bayan ceketleri. In any case, the first noun would be in the Nominative and only the second would take the 3d person possessive ending, like e.g. diş fırças
ı, deniz kuşlar
ı, kalp kriz