Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested.

If 2.6% of the thermometers are rejected because they have readings that are too high and another 2.6% 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.

interval of acceptable thermometer readings = °C