A process that manufactures vinyl for automobile seat

Chapter 9, Problem 12SE

(choose chapter or problem)

A process that manufactures vinyl for automobile seat covers was studied. Three factors were varied: the proportion of a certain plasticizer (A), the rate of extrusion (B), and the temperature of drying (C). The outcome of interest was the thickness of the vinyl (in mils). A \(2^3\) factorial design with four replicates was employed. The results are presented in the following table. (Based on the article “Split-Plot Designs and Estimation Methods for Mixture Experiments

with Process Variables,” S. Kowalski, J. Cornell, and G. Vining, Technometrics, 2002:72–79.)

                                     

a. Estimate all main effects and interactions.

b. Construct an ANOVA table. You may give ranges for the P-values.

c. Is the additive model appropriate? Explain.

d. What conclusions about the factors can be drawn from these results?

                             

Equation Transcription:

Text Transcription:

2^3

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