A golf ball manufacturer desires to compare the distancetraveled by golf balls using four unique designs. Fifteen ballswere manufactured and each was brought to the local golf course fortesting by the local pro. The order of the golf balls hit by theprofessional was randomized so the pro did not know which ball wasbeing hit. All 60 balls were hit over a short time period to reduceany potential environmental effects. Use the data provided toanswer the following questions:
1. At the 0.05 level ofsignificance is there evidence of a difference in the mean distances traveled by the golf balls with different designs?
2. Dothe results in question 1 indicate that it is appropriate to usethe Tukey-Kramer procedure to determine which designs differ inmean distances?
3. If the golf ball manufacturer wished to buildthe golf ball with the greatest distance, which design should thefirm select?