A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produced using four different designs. Nine balls were manufactured with each design and were brought to the local golf course for the club professional to test. The order in which the balls were hit with the same club was randomized to the pro did not know which type of ball was being hit. All 36 balls were hit (assuming the environmental conditions played no role). The resulting distances in yards were recorded and are shown in the following table: Design 1Design 2Design 3Design 4206.32217.08226.77230.55207.94221.43224.79227.95206.19218.04229.75231.84204.45224.13228.51224.87209.65211.82221.44229.49203.81213.90223.85231.10206.75221.28223.97221.53205.68229.43234.30235.45204.49213.54219.50228.35 1. Before preforming an ANOVA, check the model assumptions of normality (box plots) and equal variance (Levene Test). Show evidence to support your conclusions. 5. State the overall conclusion in a complete sentence with the context for sporting goods company. 6. Based on the findings from the statistical test, what are next steps you would take to determine where the differences occur in the previous problem? (You do not need to conduct additional tests, but explain what post-hoc testing would be used to identify individual differences in means)

Normality (box plots): The box plots indicate the distribution of distances for each design. From…

Answered: A sporting goods manufacturing company…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produced using four different designs. Nine balls were manufactured with each design and were brought to the local golf course for the club professional to test. The order in which the balls were hit with the same club was randomized to the pro did not know which type of ball was being hit. All 36 balls were hit (assuming the environmental conditions played no role). The resulting distances in yards were recorded and are shown in the following table:

*Design 1*	*Design 2*	*Design 3*	*Design 4*
206.32	217.08	226.77	230.55
207.94	221.43	224.79	227.95
206.19	218.04	229.75	231.84
204.45	224.13	228.51	224.87
209.65	211.82	221.44	229.49
203.81	213.90	223.85	231.10
206.75	221.28	223.97	221.53
205.68	229.43	234.30	235.45
204.49	213.54	219.50	228.35

1. Before preforming an ANOVA, check the model assumptions of normality (box plots) and equal variance (Levene Test). Show evidence to support your conclusions.

5. State the overall conclusion in a complete sentence with the context for sporting goods company. 6. Based on the findings from the statistical test, what are next steps you would take to determine where the differences occur in the previous problem? (You do not need to conduct additional tests, but explain what post-hoc testing would be used to identify individual differences in means)

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