Question

The effect of three different lubricating oils on fuel economy in diesel truck engines was studied. Five different truck engines (Blocks) were available for the following randomized complete block design:

OIL / TRUCKS	1	2	3	4	5
1	5.0	6.3	4.9	3.3	5.1
2	5.4	6.8	5.2	4.4	5.4
3	5.1	5.9	4.9	4.0	5.1

Complete the ANOVA Table and draw your conclusion:

Source of Variation	Sum of Sq.	df	Mean Sq.	F-Value
Truck
Oil
Residual
Total

Answer 1

Applying ANOVA from excel: data-data analysis:Anova: Two-Factor Without Replication

Source of Variation	SS	df	MS	F	P-value
Truck	8.9507	4	2.2377	39.8398	0.0000
Oil	0.7840	2	0.3920	6.9792	0.0176
residual	0.4493	8	0.0562
Total	10.1840	14

since p value for both Truck and  Oil factor is less than 0.05 ,

both Factors are significant.

we have sufficient evidence to conclude that not all three different lubricating oils have equal population mean on fuel economy