A manufacturer of golf clubs wants to convince professional golfers that their new driver (a type of golf club) will improve the distance that the golfers can hit the ball. They randomly selected 25 pro golfers, and each golfer hit a few balls with their old driver and a few with the new driver. The order in which each golfer used the drivers was determined randomly. The distance (in yards) achieved by each golfer for both drivers was recorded, and the distributions are summarized below. Old Driver New Driver Diff. (New SAMPLE SIZE MEAN ST. DEV. 282 290 8 25 25 25 21.3 26.1 27.2 SHAPE approximately Normal slightly left skewed slightly left skewed Old) Conduct an appropriate test of significance to determine if the new driver improves the distance golfers hit the ball, and make a conclusion in the context of the problem. (Be sure to check the necessary conditions for inference, state your hypotheses, and define the parameter(s) used in the hypotheses.)