A golf pro wanted to learn the relation between the club-head speed of a golf-club (measured in miles per hour) and the distance the ball travels. He realized that there are other variables besides club-head speed that determine the distance a ball travels (such as club type, ball type, golfer, and weather conditions). To eliminate the variability due to these variables, the pro used a single model of club and ball. One golfer was chosen to swing the club on a clear, \(70^{\circ}\) day with no wind. The pro recorded the club-head speed and measured the distance that the ball traveled and collected the data given in Table 13. The scatter diagram is in Figure 1 on page 210. Are club-head speed and distance associated at the \(\alpha=0.05\) level of significance?

Approach Verify the requirements and follow Steps 1 through 5.

Figure 1 on page 210

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Table 13 Club-Head Distance Speed (mph) (yards) 100 257 102 264 103 274 101 266 105 277 100 263 99 258 105 275