1)At a water bottling facility, a technician is testing a bottle filling machine that issupposed to deliver 750milliliters of water. The technician dispenses 45 samplesof water and determines the volume of each sample. The 45 samples have a mean

volume of x = 748.4 mL. The machine is out of calibration if the mean volume differs from 750 mL.

The technician wants to perform a hypothesis test to determine whether the machine is out of calibration. The standard deviation of the dispensed volume is known to be= 4.2.

State a conclusion. Use the= 0.05 level of significance.