A Professional Golfer Wanted to Determine If There Was a Difference

question 42

Multiple Choice

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.
$\begin{array}{ccccc}\hline \text { Brand A } & \text { Brand B } & \text { Brand C } & \text { Brand D } & \text { Brand E } \\\hline 300(25) & 190(5) & 235(11) & 275(17) & 165(2) \\298(23) & 164(1) & 296(21) & 299(24) & 175(3) \\297(22) & 239(13) & 274(16) & 185(4) & 256(14) \\260(15) & 215(7) & 280(18) & 238(12) & 224(9) \\295(20) & 225(10) & 290(19) & 196(6) & 219(8) \\\hline\end{array}$

Determine the critical value for a Kruskal-Wallis test, then compare it to the test value anı decide if the null hypothesis should be rejected or not.

• A) The test value is lower than the critical value, so the decision is to not reject the null hypothesis. There is not enough evidence to support the claim that these brands of
• Driver affect the distance a player can hit the ball.
• B) The test value is lower than the critical value, so the decision is to reject the null hypothesis. There is enough evidence to support the claim that the brand of driver
• Does affect the distance a player can hit the ball.
• C) The test value is higher than the critical value, so the decision is to not reject the null hypothesis. There is not enough evidence to support the claim that these brands
• Of driver affect the distance a player can hit the ball.
• D) The test value is higher than the critical value, so the decision is to reject the null hypothesis. There is enough evidence to support the claim that the brand of driver
• Does affect the distance a player can hit the ball.

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