The evidence strongly supports the truthfulness of the statement. The most authoritative source is the primary press release from the Federal Reserve Board itself, which officially announces the reappointment of its Reserve Bank presidents. This is corroborated by a highly relevant CNBC news article that explicitly states the Fed voted to reappoint 'all of its regional bank presidents.' A third source, a Bloomberg news article, also reports on the reappointments, lending further support. While the Bloomberg summary mentions '11 regional bank presidents' (there are 12 regional banks), this minor discrepancy does not significantly undermine the core claim, as it could be due to a vacancy or a president not being eligible for reappointment at that time. The other sources provided were correctly identified as irrelevant to the topic of personnel appointments, dealing with interest rates, government budgets, or retirement payments. The convergence of a primary source announcement from the Federal Reserve and corroborating reports from reputable financial news organizations makes the statement highly credible.