There is an interest in finding a gasoline additive that reduces nitrogen oxides in the exhaust gases. Four types of gasoline additives (A,B,C,D) are available. Two perturbing factors in the experiment are the cars and the drivers. A Latin square was performed for this study as follows: four cars (1,23,4) and four drivers (1,2,3,4) were used to study the possible differences between the four additives (A,B,C,D). The response variable is a coded measurement of the reduction of nitrogen oxides. The results are shown in the following table: (IMAGE) a) Analyze the data from this experiment or to evaluate the effect of different types of gasoline additive. Develop from the ANOVA table and use an α = 0.05. b) Compare the four types of additives using fisher's α=0.05 test. c) The cost of the four additives A, B, C, and D are $1, $2, $3, and $0.50 respectively. If the quality of the nitrogen oxides is to be minimized, which additive would you recommend?
There is an interest in finding a gasoline additive that reduces nitrogen oxides in the exhaust gases. Four types of gasoline additives (A,B,C,D) are available. Two perturbing factors in the experiment are the cars and the drivers. A Latin square was performed for this study as follows: four cars (1,23,4) and four drivers (1,2,3,4) were used to study the possible differences between the four additives (A,B,C,D). The response variable is a coded measurement of the reduction of nitrogen oxides.
The results are shown in the following table:
(IMAGE)
a) Analyze the data from this experiment or to evaluate the effect of different types of gasoline additive. Develop from the ANOVA table and use an α = 0.05.
b) Compare the four types of additives using fisher's α=0.05 test.
c) The cost of the four additives A, B, C, and D are $1, $2, $3, and $0.50 respectively. If the quality of the nitrogen oxides is to be minimized, which additive would you recommend?
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