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The Precision Scientific Instrument

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The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0oC 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 0oC (denoted by a negative temperature) and some give readings above 0oC (denoted by a positive temperature). Assume that the mean reading is 0oC and the standard deviation of the readings is 1.00oC. 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 readings that are too low, but all other thermometers are acceptable, find the temperature that separates the rejected thermometers from the others.

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