The correct answer is False because according to Rule 6.07(c), if a batter bats out of turn and the defensive team appeals before the next pitch or play, the correct batter is the one who should have batted. In this scenario, the 6th batter stepped into the box before the appeal was made, so the 6th batter is the proper batter and the 5th batter is not called out. Therefore, the answer is False.