Date: 3/18/2008 9:35 pm EDT
Based on your description, I would say you have some grout residue on the tile. The plastic-like film is actually a urethane residue. A citrus-based cleaner diluted in fresh water will remove the "haze" (which in fact can be shiny looking). If the haze is especially stubborn, there is a product called "KrudKutter" that definitely will clean off any residue.