A Professional Golfer Wanted to Determine If There Was a Difference

question 27

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.
$\begin{array}{ccccc}\hline \text { Brand A } & \text { Brand B } & \text { Brand C } & \text { Brand D } & \text { Brand E } \\\hline 300(25) & 190(5) & 235(11) & 275(17) & 165(2) \\298(23) & 164(1) & 296(21) & 299(24) & 175(3) \\297(22) & 239(13) & 274(16) & 185(4) & 256(14) \\260(15) & 215(7) & 280(18) & 238(12) & 224(9) \\295(20) & 225(10) & 290(19) & 196(6) & 219(8) \\\hline\end{array}$
Compute the appropriate test value for a Kruskal-Wallis test, at $\alpha = 0.05$ , of the professio golfer's hypothesis. onal

• A) 13.610
• B) 16.610
• C) 3.805
• D) 6.805

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Definitions:

ERG Theory

A motivation theory developed by Clayton Alderfer that categorizes human needs into three groups: Existence, Relatedness, and Growth needs, suggesting that individuals are motivated to fulfill these needs in a hierarchical order.

Clayton Alderfer

A psychologist known for developing ERG theory, which categorizes human needs into existence, relatedness, and growth categories.

Prepotent Levels

Dominant or primary stages in a hierarchy of needs or motivations, often compelling an individual to act to fulfill them before addressing less critical needs.

Equity Theory

A theory of motivation that suggests employees are motivated to achieve equity or fairness in the workplace, particularly in relation to others.