Question: The Precision Scientific Instrument Company manufactures thermometers that are suppose to give readings of 0 degrees Celsius at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0 degrees Celsius (denoted by negative numbers) and some give readings above 0 degrees Celsius (denoted with positive numbers). Assuming that the mean reading is 0 degrees Celsius and the standard deviation of the reading is 1.00 degrees Celsius. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information.

A quality control analyst wants to examine thermometers that give readings in the bottom 4%. Find the reading that separates the bottom 4% from the others.