The Precision Scientific Instrument Company manufactures thermometers that are supposed to
give readings of 0°C 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°C (denoted by negative
numbers) and some give readings above 0°C (denoted by positive numbers). Assume that the mean
reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency
distribution of errors closely resembles the normal distribution. A thermometer is randomly
selected and tested. A quality control analyst wants to examine thermometers that give readings in
the bottom 4%. Find the temperature reading that separates the bottom 4% from the others.