A large retail company employs two department managers, a man and a woman. Both were hired on the same day, have similar levels of prior experience, and are responsible for departments of comparable size and sales volume. Their job descriptions outline identical duties, including inventory management, employee scheduling, and customer service oversight. An internal audit reveals that the male manager's annual salary is significantly higher than the female manager's. Based on the legal principle that individuals in the same workplace must receive equal pay for equal work, is there a potential violation of federal law in this situation? Explain your reasoning using specific details from the scenario.