Final answer:
The sampling method that would not represent a convenience sample is 'Fifty parts are chosen at random from the many parts made each day' because it's a random selection that gives every part an equal chance of being chosen.
Step-by-step explanation:
The method that would not represent a convenience sample is: Fifty parts are chosen at random from the many parts made each day. A convenience sample involves selecting results that are easy to access or readily available. Selecting the first 25 parts after lunch, the last 30 parts at the end of the day, or the first 20 parts produced at the start of the day are all examples of convenience sampling because these parts are chosen based on timing that is convenient for the sampling process, rather than being randomly selected. In contrast, picking fifty parts randomly throughout the day gives each part an equal chance of being chosen and does not depend on the convenience or availability of the parts at a specific time. This type of random sampling is typically used in order to reduce bias and better represent the entire population of parts produced in the factory.