Refer to Exercise 19.9. a. Identify vehicle and route as fixed or random effects. b. How would…

Refer to Exercise 19.9.

a. Identify vehicle and route as fixed or random effects.

b. How would you test for a significant effect due to vehicle?

c. How would you test for a significant effect due to route?

Exercise 19.9

Refer to Exercise 19.6. Suppose upon examining the data logs from the study the researchers determined that the CO emissions monitoring device was probably not functioning properly for the following two data values: vehicle V7 on route R4 using blend B2, 742, and vehicle V6 on route R4 using blend B1, 641. Reanalyze the data after deleting these two values. Do your conclusions about the differences in the eight blends change?

Exercise 19.6

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 (stopand-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 a  .05.

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