Does hot weather effect eggs??

Does anyone know if this hot weather effects eggs. We collect the eggs every day but there is one hen sitting on the eggs and it could be 2/3 days before they get collected. (she usually moves box and then we collect) It would never be more than 3 days though. I gave my parents 6 eggs the other day and they tell me 4 of them were bad!!! As in they split and ran everywhere when cracked open. They are definitely not more than a week old allowing for them sitting here in our kitchen for few days. We sell a few eggs locally and now we don't know what to do as obviously we don't want to sell bad eggs.

All comments welcome...