A data acquisition system for environmental monitoring is used to record the temperature of an air stream as measured by a thermocouple. It shows an essentially sinusoidal variation after about 15 s. The maximum recorded temperature is 127 °F and the minimum is 119 °F at 1.8 cycles per mm. It is estimated that the thermocouple has a time constant of 4.5 s. Estimate the actual maximum and minimum air temperatures.