Question

Engineers are testing company fleet vehicle fuel economy (miles per gallon) performance by using different types of fuel One vehicle of each size is tosted Does this sample provide sufficient evidence to conclude that there is a signficant difference in treatment means? 87Octano 31.9 18 9 284 18.1 89Octane 1191 Octanen Ethanol5%; 20.7 20.4 19 8 152 28.0 18.2 29 0 23 2 27.3 18 9 30 9 21.4 Ethano, 10%) 29 3 27.3 28.0 30 4 Mid-5ize Ful Size AClick here for the Excel Data Fle (a) Choose the correct statement O Fuel type is the blocking factor and vehicle size is the treatment O Fuel type is the treatment and vehicle size is the blocking factor (b) Fil in the boxes (Round your SS values to 3 decimal places, Fvalues to 2 decimal places, and other answers to 4 decimal places) Two-Factor ANOVA sS 90.1215 Treatments (Vehicle Sze) Blocks (Fuel Type) Ermor Total Type here to search 144

Answer 1

data

	87 oct	89 oct	91 oct	ethanol 5 %	ethanol 10%
compact	31.9	28	20.7	27.3	29.3
mid size	18.9	18.2	20.4	18.9	27.3
full size	28.4	29	19.8	30.9	28
SUV	18.1	23.2	15.2	21.4	30.4

result

Anova: Two-Factor Without Replication
SUMMARY	n	Sum	Mean	Variance	sd
compact	5	137.2	27.44	17.278	4.156681
mid size	5	103.7	20.74	14.093	3.754064
full size	5	136.1	27.22	18.442	4.294415
SUV	5	108.3	21.66	33.308	5.771308
87 oct	4	97.3	24.325	47.38916667	6.883979
89 oct	4	98.4	24.6	24.61333333	4.961183
91 oct	4	76.1	19.025	6.6425	2.577305
ethanol 5 %	4	98.5	24.625	29.9025	5.468318
ethanol 10%	4	115	28.75	1.896666667	1.377195
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Rows	190.1215	3	63.37383333	5.38545864	0.01399	3.490295
Columns	191.273	4	47.81825	4.063557372	0.026128	3.259167
Error	141.211	12	11.76758333
Total	522.6055	19