Final answer:
The student's question is about assessing the normal distribution related to the output of a machine filling 1-liter bottles of cola, focusing on its accuracy and precision. Accurate filling means the average volume is close to 1 liter, while precision refers to the consistency of the volume dispensed in each bottle.
Step-by-step explanation:
The student's question pertains to the normal distribution of a machine's output in filling 1-liter bottles of cola. In the context provided, a quality control chemist performs tests to determine the accuracy and precision of machines dispensing a fixed volume of liquid. Accuracy refers to how close the mean volume dispensed by the machine is to the actual intended volume of 1 liter, while precision refers to how much variation there is in the volume of liquid dispensed in each bottle.
If the chemist's results for the cola filling machine's output indicate a mean close to 1 liter and minimal variation in the volumes, one could conclude the machine is both accurate and precise. However, if the results show a consistent deviation from the 1-liter mark or a high variability, this might suggest a need for recalibration of the machine.