The Precision Scientific Instrument Company manufactures thermometers that are supposed 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 degress Celsius (denoted by positive numbers). Assume that the mean reading is 0 degree Celsius and the standard deviation of the readings is 1.00 degree 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.
If 7% of the thermometers are rejected because they have reading that are too low, but all other thermometers are acceptable, find the temperature that separates the rejected thermometer from the others.