6 Deg. what? Celsius or fahrenheight. If 6 Deg celsius then the thermometer you put inside the fridge is inaccurate because water freezes at 0 deg so inside the fridge must be at least 0 deg celsius for it to ice up. I would say that the thermostat you fitted is either the wrong one, or is faulty or you have installed it incorrectly.
Lincoln Appliance NZ, April 2009