Question

A sporting goods company wants to measure the distance traveled by a golf ball using 3 different designs. Using the results in the following table, determine at a 0.05 level of significance whether there is a difference in the mean distance traveled by the golf balls, and if so, indicate which are different. Clearly summarize your analysis.

Design 1	Design 2	Design 3
255	290	250
270	275	245
260	300	240
270	295	250
265	285	255

Answer 1

For the given data using Anova single factor in Excel we get output as

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Design 1	5	1320	264	42.5
Design 2	5	1445	289	92.5
Design 3	5	1240	248	32.5
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	4270	2	2135	38.23881	6.22E-06	3.885294
Within Groups	670	12	55.83333
Total	4940	14