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.

Question

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.

Quizplus · Accepted Answer

The Kruskal-Wallis test is a non-parametric method used to determine if there are statistically significant differences between two or more groups of an independent variable on a continuous or ordinal dependent variable. In this scenario, the test is used to compare the distances achieved by different brands of golf drivers. The decision to reject the null hypothesis is made when the test value exceeds the critical value, indicating significant differences between the groups. This suggests that the brand of driver does indeed affect the distance a player can hit the ball.

A Professional Golfer Wanted to Determine If There Was a Difference