At a Water Bottling Facility, a Technician Is Testing a Bottle

Multiple Choice

At a water bottling facility, a technician is testing a bottle filling machine that is supposed to deliver 500 milliliters of water. The technician dispenses 49 samples of water and determines the volume of each sample. The 49 samples have a mean volume of $\bar { x } = 501.2 \mathrm {~mL}$ . The machine is out of calibration if the mean volume differs from $500 \mathrm {~mL}$ .
The technician wants to perform a hypothesis test to determine whether the machine is ou calibration. State the appropriate null and alternate hypotheses.

A) $H _ { 0 } : \mu = 500 , H _ { 1 } : \mu < 500$
B) $H _ { 0 } : \mu = 500 , H _ { 1 } : \mu \neq 500$
C) $H _ { 0 } : \mu \neq 501.2 , H _ { 1 } : \mu = 501.2$
D) $H _ { 0 } : \mu = 501.2 , H _ { 1 } : \mu > 501.2$