A component can be manufactured according to either of two designs and with either a more expensive or a less expensive material. Several components are manufactured with each combination of design and material, and the lifetimes of each are measured (in hours). A two-way analysis of variance was performed to estimate the effects of design and material on component lifetime. The cell means and main effect estimates are presented in the following table. Cell Means Design 1 Design 2 More expensive Less expensive 118 120 60 122 Main Effects More expensive Less expensive Design 1 Design 2 14 -14 -16 16 ANOVA table Source DF MS Material 2352.0 2352.0 10.45 0.012 Design 3072.0 3072.0 13.65 0.006 Interaction 2700.0 2700.0 12.00 0.009 Епог 1800.0 225.00 Total 11 9924.0 The process engineer recommends that design 2 should be used along with the more expensive material. He argues that the main effects of both design 2 and the more expensive material are positive, so using this combination will result in the longest component life. Do you agree with the recommendation? Why or why not?

A component can be manufactured according to either of two designs and with either a more expensive or a less expensive material. Several components are manufactured with each combination of design and material, and the lifetimes of each are measured (in hours). A two-way analysis of variance was performed to estimate the effects of design and material on component lifetime. The cell means and main effect estimates are presented in the following table. Cell Means Design 1 Design 2 More expensive Less expensive 118 120 60 122 Main Effects More expensive Less expensive Design 1 Design 2 14 -14 -16 16 ANOVA table Source DF MS Material 2352.0 2352.0 10.45 0.012 Design 3072.0 3072.0 13.65 0.006 Interaction 2700.0 2700.0 12.00 0.009 Епог 1800.0 225.00 Total 11 9924.0 The process engineer recommends that design 2 should be used along with the more expensive material. He argues that the main effects of both design 2 and the more expensive material are positive, so using this combination will result in the longest component life. Do you agree with the recommendation? Why or why not?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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