Sporting goods manufacturing company wanted to compare the distance travelled by golf balls produced using each of four different designs. Ten 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 from the first tee was randomized so that the pro did not know which type of balls was being hit. All 40 balls were hit in a short period of time, during which the environmental conditions were essentially the same. The results (distance travelled in yards) for the four designs were as follows. Distance Travelled 1 2 3 4 206.32 217.08 226.77 230.55 207.94 221.43 224.79 227.95 206.19 218.04 229.75 231.84 204.45 224.13 228.51 224.87 209.65 211.82 221.44 229.49 203.81 213.9 223.85 231.1 206.75 221.28 223.97 221.53 205.68 229.43 234.3 235.45 204.49 213.54 219.5 228.35 210.86 214.51 233.0 225.09 A one-way ANOVA of the above data is given as follows: Source of Variation SS df MS F P-value F crit Between Groups (i) (ii) (v) (vii) 2.73E-13 2.866266 Within Groups 676.8244 (iii) (vi) Total 3667.814 (iv) Fill the missing values (i) to (vii). At the 0.05 level of significance, is there evidence of a difference in the mean distances travelled by the golf balls with different designs? If the results in (1) indicate that it is appropriate, use a one-way ANOVA procedure to determine which designs differ in mean distances.

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Description: Sporting goods manufacturing company wanted to compare the distance travelled by golf balls produced using each of four different designs. Ten balls were manufactured with each design and were brought to the local golf course for the club professiona

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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Sporting goods manufacturing company wanted to compare the distance travelled by golf balls produced using each of four different designs. Ten 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 from the first tee was randomized so that the pro did not know which type of balls was being hit. All 40 balls were hit in a short period of time, during which the environmental conditions were essentially the same. The results (distance travelled in yards) for the four designs were as follows.

Distance Travelled	1	2	3	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	213.9	223.85	231.1
	206.75	221.28	223.97	221.53
	205.68	229.43	234.3	235.45
	204.49	213.54	219.5	228.35
	210.86	214.51	233.0	225.09

A one-way ANOVA of the above data is given as follows:

Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	(i)	(ii)	(v)	(vii)	2.73E-13	2.866266
Within Groups	676.8244	(iii)	(vi)

Total	3667.814	(iv)

Fill the missing values (i) to (vii).
At the 0.05 level of significance, is there evidence of a difference in the mean distances travelled by the golf balls with different designs?
If the results in (1) indicate that it is appropriate, use a one-way ANOVA procedure to determine which designs differ in mean distances.
What assumptions are necessary in (1)?
What golf ball design should the manufacturing manager choose? Explain

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