"The methodology to ensure the quality of the product need not be integrated with the methodology for its development."
This describes a huge part of "the industrial revolution" and has given rise to very advanced quality assurance, quality control, independent verification and validation, and other disciplines (with books, college degrees, certifications, etc.). Look these up on Wikipedia some time.
Probably my best quote is, "With good people, a better process generally produces a better project." [note: I am a retired project manager with 40 years experience (some multi-million dollar computer projects)].
Note that the word "ensure" is very key in the problem statement. This is because there are natural processes or manufacturing processes that monitoring/measuring/controlling actually alters the process (sometimes very slightly). For example, inserting a thermometer into a baking turkey so you may adjust the oven temperature slightly changes the termperature of the turkey, If this is pretty small, then O.K. If not, you may have to wait until the product is produced in order to check the quality (note: as a kid, I pulled up carrots to see whether they were ripe).
This is the down side: If you measure/test products after they are produced, that means many are discarded (this may be expensive). Although the materials and machinery used to produce computer circuits are highly controlled, the actual circuits are either sold or discarded based on post-production testing. From a customer perspective, this is why you take a car for a "test drive" before buying it (no amount of production control is going to satisfy you!).
Good example: colleges review applications (with may include SAT scores, etc.) and the process does impact the schools that produce the "products" (students), but "The methodology to ensure the quality of the product need not be integrated with the methodology for its development." In fact, responsible colleges would not depend on that happening, they would ensure the quality of the product independently !
Refer to my quote again -- integrating quality into production processes usually does improve (but may not ensure) better quality products.
Another consideration is the words "quality" and "development" An example for thought: Would you need to influence the "development" of a potential marriage partner in order to ensure the "quality" of your mate?