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4. The Precision Scientific Instrument Company manufacturers thermometers that are supposed to give readings of 0°C...

4. The Precision Scientific Instrument Company manufacturers 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 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 10.2% of the thermometers are rejected because they have readings that are too high and another 10.2% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others.

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