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A Professional Golfer Wanted to Determine If There Was a Difference

question 27

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A professional golfer wanted to determine if there was a difference in the number of yards that golfers could hit a ball depending on the brand of driver (a particular type of club) used. Twenty-five golfers (of approximately the same ability) were divided into five groups ,and each golfer in a group hit a ball with one particular brand of driver. The number of yards they hit the ball was recorded, and a rank was assigned to each value. The data are tabulated below with the number of yards hit listed first and the ranks listed in parentheses.
 Brand A  Brand B  Brand C  Brand D  Brand E 300(25) 190(5) 235(11) 275(17) 165(2) 298(23) 164(1) 296(21) 299(24) 175(3) 297(22) 239(13) 274(16) 185(4) 256(14) 260(15) 215(7) 280(18) 238(12) 224(9) 295(20) 225(10) 290(19) 196(6) 219(8) \begin{array}{ccccc}\hline \text { Brand A } & \text { Brand B } & \text { Brand C } & \text { Brand D } & \text { Brand E } \\\hline 300(25) & 190(5) & 235(11) & 275(17) & 165(2) \\298(23) & 164(1) & 296(21) & 299(24) & 175(3) \\297(22) & 239(13) & 274(16) & 185(4) & 256(14) \\260(15) & 215(7) & 280(18) & 238(12) & 224(9) \\295(20) & 225(10) & 290(19) & 196(6) & 219(8) \\\hline\end{array}
Compute the appropriate test value for a Kruskal-Wallis test, at α=0.05\alpha = 0.05 , of the professio golfer's hypothesis. onal


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