Question

(4.5 points) The effect of three different lubricating oils on fuel economy in diesel truck engines is being studied. Fuel economy is measured using brake-specific fuel consumption after the engine has been running for 15 minutes. Five different truck engines are available for the study and the experimenters conduct the following RCBD 2. You may use any approved software to complete this question. If conclusions and interpretations are not provided, you will not receive full credit on this problem. Truck Oil 4 0.512 0.329 0.575 0.635 0.498 0.540 0.535 0.530 0.452 0.675 0.510 0.595 0.400 0.513 0.488 Analyze the data and draw conclusions Analyze the residuals from this experiment a. b.

Answer 1

Since p-value=0.1278 of the oil is more than typical level of significance=0.05 so there is not significant difference among the oil

Since p-value=0.0003 of the Truck is less than typical level of significance=0.05so there is significant differences among the truck

following RCBD anova information has been generated

Anova: Two-Factor Without Replication
SUMMARY	Count	Sum	Average	Variance
oil1	5	2.549	0.5098	0.01319
oil2	5	2.732	0.5464	0.006472
oil3	5	2.506	0.5012	0.004858
truck1	3	1.623	0.541	0.000988
truck2	3	1.905	0.635	0.0016
truck3	3	1.516	0.505333	0.000481
truck4	3	1.181	0.393667	0.003812
truck5	3	1.562	0.520667	0.000281
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Oil	0.005761	2	0.00288	2.690432	0.127768	4.45897
Truck	0.089514	4	0.022378	20.90205	0.00027	3.837853
Error	0.008565	8	0.001071
Total	0.10384	14