Question:
Carbon monoxide (CO) emissions from automobiles can be influenced by the formulation of the gasoline that is used. Oxygenated fuels are used in northern states during the winter to decrease CO emissions. There are eight gasoline blends that are of interest to the researchers (B1€” B8). Each of the eight blends will be placed in a car that will then be driven over a 50- mile route during which the total amount of CO emissions will be measured. There are large car- to- car differences in CO emissions, and there are large route-to-route differences in city driving (stop-and-go driving on city streets versus a freeway route). The researchers have eight cars and eight routes available to study the eight blends, with every blend observed in all eight cars, which will be driven over all eight routes. The following table contains the amount of CO emissions (grams) per mile by each vehicle, route, and blend. During the study, the device used to measure CO emissions failed to function properly when vehicle V7 was driven over route R3 using blend B1. The research goal is to determine how the different blends impact the mean CO readings.
a. Estimate the amount of CO emissions for vehicle V7 while driving over route R3 using blend B1.
b. Analyze the data by replacing the missing value with the estimate obtained in part (a), and then perform an analysis of variance using the formulas for a Latin square design with no missing observations.
c. Is there a significant difference in the mean CO emissions for the different blends? Use α = .05.
Transcribed Image Text:
Route Vehicle RI R2 R3 R4 RS R6 R7 R8 V B112.0 B2112 B3 118 B4 10.0 B5201 B6 18.7 B7217 B8 30.2 V2 B210.1 B3 122 B4 12.1 B5124 B618.4 B7 18.6 B822.3 B1150 V3 B3214 B4 24.2 B526.7 B6233 B7 32.5 B8 34. B1 214 B2 27.7 V4 B415.4 B520.3 B617.5 B7 176 B8253 B1 12.2 B212.4 B3 18.9 V5 B5 25.0 B6 244 B724.0 B8265 B1206 B219.6B3 19.6 B4 27.3 V6 B6 18.9 B7 20.9 B825.2 B1 8.3 B215.6 B315 B4 174 B5 25.9 V7 B716.2 B8182 B1B2 44 B3102 B4 9.9 B512.7 B6 179 V8 B8295 B1213 B218.3 B361 B4260 B5264 B626.0 B735.0