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 revealed that at the freezing point of water, some give readings below 0°C and some give readings above 0°C. 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. If 1.1% of the thermometers are rejected because they have readings that are too high and another 1.1% are rejected because they have readings that are too low, find the two readings that are the cutoff values separating the rejected thermometers from the others. Round to 2 decimal places.
