A temperature control system is designed to maintain the temperature at a constant
value of 253C inside a kiln.
(a) The following test set of 20 initial temperature measurements (once the temperature in the kiln has reached steady-state) is obtained:
256 251 249, 262, 253, 245, 252, 250, 261, 251, 253, 254, 247, 255, 248, 243,
255, 259, 252, 258
Show that this is free of rogue data points and can therefore be used as a reference set against which to test future temperature measurements.
(b) The temperature is then measured at 15 minute intervals and the following 20
measurements are obtained:
240 253 247, 260, 249, 253, 254, 239, 25,0 263, 251, 244, 251, 246, 232, 251,
249, 255, 258, 248
Test whether there are any rogue measurements in this data set.