The sports industry is a large and competitive market. A manufacturer of golf balls is considering four new ball designs. A sample of 36 balls from each of the 4 models is tested and the distance the balls carry (in yards) is recorded. The balls are hit by a machine. A portion of the data is shown below and the complete data set in analysis ready format can be found in the Homework 3 folder in the content area on Blackboard.
Model M1    Model M2    Model M3 Model M4
257                   256             244          250
255                   255             243          255
256                   258             241          251
255                   257             243          249
:                            :                :                :
a. What is the response variable and what is the factor? (5 points)
Response Variable -
Factor -
b. Are there any significant differences in average carry distance between the new designs? Test this hypothesis by completing the following:
1) State the hypothesis being tested. (5 points)
2) Verify that the two conditions necessary to use the ANOVA technique to test this hypothesis are valid.
Be sure to state if either one or both are valid or invalid with reasoning. It is not necessary to produce or reproduce print outs, appropriate comments will suffice. (10 points)
3) Use SPSS to produce the ANOVA table and fill in each blank in the table below. (15 points)
Source       d.f.    Sum of Squares    Mean Squares F p-value
4) Based upon the ANOVA table, make a statistical decision as to whether the data has provided evidence a significant difference in average carry distance between the new designs. Please provide evidence/reasoning as to how you have made this decision. (10 points)
c. What is your recommendation to the company and why? (5 points)

The sports industry is a large and competitive market. A manufactur...