Use the Following to Answer Questions

question 59

Multiple Choice

Use the following to answer questions :
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.
-Determine the critical value for a Kruskal-Wallis test, then compare it to the test value and decide if the null hypothesis should be rejected or not.

• A) 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.
• 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 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.

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Definitions:

Ordered Pairs

A pair of elements arranged in a specific order, typically (x, y), representing coordinates on a Cartesian plane.

Function

A mathematical relation between a set of inputs and a set of possible outputs, where each input is related to exactly one output.

Evaluate

The process of determining the value of an algebraic expression by substituting numbers into the variables and performing the operations.

Function

A link between a group of inputs and a set of possible outputs, ensuring that every input matches precisely one output.