The compressive strength of concrete is being studied and fo

The compressive strength of concrete is being studied, and four different mixing techniques are being investigated. The following data have been collected. Is there any differences between the four different mixing techniques in terms of the mean compressive strength. Use Alpha = 0.05.

Solution

Ho: There is no significant difference between 4 different mixing techniques

Ha: Atleast one of the technique is different from others

Since pvalue is very low we reject Ho and conclude that atleast one of the technique differs from others

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
1.000	4.000	11884.000	2971.000	14534.000
2.000	4.000	12625.000	3156.250	18489.583
3.000	4.000	11735.000	2933.750	11722.917
4.000	4.000	10665.000	2666.250	6556.250
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	489740.188	3.000	163246.729	12.728	0.000	3.490
Within Groups	153908.250	12.000	12825.688
Total	643648.438	15.000