At a water bottling facility, a technician is testing a bottle filling machine that is supposed to deliver 250 milliliters of water. The technician dispenses 50 samples of water and determines the volume of each sample. The 50 samples have a mean volume of . The machine is out of calibration if the mean volume differs from .
The technician wants to perform a hypothesis test to determine whether the machine is ou calibration. The standard deviation of the dispensed volume is known to be . Comy value of the test statistic.