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Do golfers hit farther when the ball is placed on natural grass instead of artificial turf? A statistics student named Jack decided to find out

Do golfers hit farther when the ball is placed on natural grass instead of artificial turf? A statistics student named Jack decided to find out by hitting 30 balls on each surface, in random order, using the same club and type of golf ball. The histograms display the distribution of distance (in yards) for balls hit on the two types of surfaces.

  1. Explain why it was important for Jack to randomize the order in which he used the two types of surface.
  2. Compare the distribution of distance for balls hit off the two types of surfaces.
  3. Why is it not necessary to use relative frequency histograms in this context?
  4. Based only on the graphs, do you think these data provide convincing evidence that Jack has a greater ability to hit golf balls off of a grass surface? Explain your reasoning.
  5. Explain how the lack of blindness limits the conclusions Jack can make.
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6 8 7 Frequency 5 6 Grass 3 2 1 135 140 145 150 155 160 165 170 6 8 7. Frequency 6 5 3 2 1 0 Turf 135 140 145 150 155 160 165 170 Distance (yd)

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