You are employed as a quality control engineer of a soft drink company that makes soft drinks in volumes of 300ml. Suppose, a client claims that your company is cheating the public. He files a legal suite against your company that the fill volume of your soft drink is consistently less than 300ml and the client produces 10 bottles with fill volumes ranging from 288ml to 298ml as a proof of his claim. As a technical person how would you go about to statistically defend your company in the courts of law?
When packaging the soft drinks, the volume of the drink is usually measured to be 300ml. However, this changes when the bottles are exposed to different temperatures. The soft drink usually contains a solvent and carbon as a gas. Carbonated drinks are bottled under pressure, and as the temperature rises, the gas becomes less soluble and slightly decreases the volume of the bottled drink.