A thermocouple is a temperature sensor used to measure the temperature inside furnaces. A researcher wanted to know whether two thermocouples were measuring the temperature the same. He wrapped the thermocouples together, placed them in an oven and recorded the temperature (in degrees C) reported by the thermocouple. He did this 9 times and obtained the following data:
Thermocouple 1 326.06 326.08 326.05 326.03 326.00 326.00 325.97 326.07 326.11 Thermocouple 2 326.03 326.06 326.02 326.01 325.99 325.99 325.95 326.03 326.08
(a) Test the claim that there is a difference in the mean temperature at the alpha=0.05 level of significance. Note: a normal probability plot and box plot of the data indicate that the differences are approximately normally distributed with no outliers.