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Among the Legendary Ranches in North America Such as the Dragging

Question 187

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Among the legendary ranches in North America such as the Dragging y Cattle Ranch and the Four Sixes, some authors include the ephemeral Stats Bar-X Ranch. One year, after round-up time, cowboys from all the ranches competed to see which outfit was best. After agreeing that the Bar-X boys were best at knife throwing and the Dragging y boys at calf roping, an argument broke out about who was "best of all". The scores didn't seem to help because both had 75 percent success. Fortunately, these were modern cowboys so they resorted to statistics rather than six-shooters to settle the argument. Use z scores on the data that follow to determine which outfit was the more outstanding. The numbers are success figures in percents.  Knife throwing  Calf roping  Stats Bar-X 7570 Dragging y 6075 O RO Ranch 5065 Babbitt Ranches 5560 6666 4065\begin{array} { l c c } & \text { Knife throwing } & \text { Calf roping } \\\text { Stats Bar-X } & 75 & 70 \\\text { Dragging y } & 60 & 75 \\\text { O RO Ranch } & 50 & 65 \\\text { Babbitt Ranches } & 55 & 60 \\\text { 6666 } & 40 & 65\end{array}

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