A golf ball manufacturer has three dimple patterns it is interested in analyzing to see whether one results in longer driving distances.However,it also wishes to control for the material the ball is made from since it believes that the material might affect driving distance.Four materials can be used.The following data represent the results of tests in which each combination of dimple pattern and cover material were used and the length of the ball hit by a robot has been recorded.The test will be conducted using an alpha = 0.05 level. Given these data,which of the following statements is true?
A)There is no basis for concluding that mean driving distance is different for the different dimple patterns.
B)There is no basis for concluding that mean driving distance is different for the different cover materials.
C)Both A and B are true.
D)Neither A nor B are true.

Question

A golf ball manufacturer has three dimple patterns it is interested in analyzing to see whether one results in longer driving distances.However,it also wishes to control for the material the ball is made from since it believes that the material might affect driving distance.Four materials can be used.The following data represent the results of tests in which each combination of dimple pattern and cover material were used and the length of the ball hit by a robot has been recorded.The test will be conducted using an alpha = 0.05 level.  Given these data,which of the following statements is true?
A)There is no basis for concluding that mean driving distance is different for the different dimple patterns. 
B)There is no basis for concluding that mean driving distance is different for the different cover materials. 
C)Both A and B are true. 
D)Neither A nor B are true.

Quizplus · Accepted Answer

To test whether there is a difference in mean driving distance for the different dimple patterns and cover materials, a two-way ANOVA should be conducted. The null hypothesis for both factors is that there is no difference in mean driving distance between the levels of that factor.

The results of the ANOVA are not given, but based on the information provided, there is no evidence to reject either null hypothesis. Therefore, there is no basis for concluding that mean driving distance is different for the different dimple patterns or for the different cover materials. Thus, both statements A and B are true.

A Golf Ball Manufacturer Has Three Dimple Patterns It Is