Which of the following best describes the refund processing time by check?

The option indicating 14 days to 4 weeks accurately reflects the typical timeframe for refund processing by check. This timeframe is based on standard banking and mail procedures. When a refund is processed by check, it involves multiple steps: the issuance of the check, the mailing time, and then the recipient's bank processing time once deposited.

Typically, after a check is issued, it may take several days to reach the individual, given postal service variability. Once the recipient receives the check, they must then deposit it, after which their bank usually takes a few additional business days to clear the funds. Therefore, taking all of these factors into account, a timeframe of 14 days to 4 weeks provides a realistic estimate for individuals expecting a refund via check. Other options do not sufficiently capture the complexities involved in check processing and delivery times.