Major League Baseball is experimenting with changing the manufacturing process of the ball and has proposed two new designs to compare with the classic design. One of the concerns of the rules committee about the new designs is that they might affect how far the ball travels after it has been hit by the bat, leading to an increase in the amount of offense, making year to year comparisons of performance difficult. Professional players were recruited to hit baseballs from one of the three randomly assigned designs (using a pitching machine) and the average distance the ball traveled was recorded for each player. Which of the following is a logical next step for the analysis assuming the model assumptions are adequately met?