One company's bottles of grapefruit juice are filled by a machine that is set to dispense an average of 180 milliliters (ml) of liquid. A quality-control inspector must check that the machine is working properly. The inspector takes a random sample of
40 bottles and measures the volume of liquid in each bottle. The mean amount of liquid in the bottles is 179.6 ml and the
standard deviation is 1.3 ml.
We want to test
Họ: H = 180
H:H * 180
where p = the true mean volume of liquid dispensed by the machine. A significance test yields a P-value of 0.0589. We
choose to make a decision using a = 0.10.
What conclusion would you make at the a = 0.10 level?