Final answer:
An Order Number is generally generated when a purchase is completed or a credit application is submitted and processed, not simply when an item is added to the cart or at the start of a credit application. Thus, the statement is false.
Step-by-step explanation:
An Order Number is typically generated at a specific point in a transaction process, and the exact point at which it is created can vary depending on the company's policies and the systems they use. For many online retail systems, an Order Number may be generated when the customer completes a purchase rather than when an item is added to the cart. Similarly, for credit applications, an Order Number or reference number might be created to track the application once it is submitted and processed, not necessarily at the initial stages of the application. Therefore, the statement that an Order Number is generated any time an item is added to the cart or a credit application is processed is generally false.