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 Write a set of hypotheses to test the mean difference in distances of the four golf ball designs. Ho: Ha: Draw a diagram or picture to depict the rejection region and the test being utilized, label the rejection region and critical value(s).Is there evidence of a difference in the mean distances traveled by the various golf ball designs (test at α = 0.05).

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

Write a set of hypotheses to test the mean difference in distances of the four golf ball designs.

H_o:

H_a:

Draw a diagram or picture to depict the rejection region and the test being utilized, label the rejection region and critical value(s).
Is there evidence of a difference in the mean distances traveled by the various golf ball designs (test at α = 0.05).

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