The Precision Scientific Instrument Company Manufactures Thermometers That Are Supposed $- 1.46 ^ { \circ } , 1.46 ^ { \circ }$

Multiple Choice

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. Find the temperature reading corresponding to the given information.
-If 6.3% of the thermometers are rejected because they have readings that are too high and another 6.3% 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.

A) $- 1.46 ^ { \circ } , 1.46 ^ { \circ }$
B) $- 1.45 ^ { \circ } , 1.45 ^ { \circ }$
C) $- 1.39 ^ { \circ } , 1.39 ^ { \circ }$
D) $- 1.53 ^ { \circ } , 1.53 ^ { \circ }$