An aircraft firm is considering three different alloys for use in the wing construction of a new airplane. Each alloy can be produced in four different thicknesses (1 = thinnest, 4 = thickest). Two test samples are constructed for each combination of alloy type and thickness, then each of the 24 test samples is subjected to a laboratory device the severely flexes it until failure occurs. For each test sample the number of flexes before failure is recorded, with the data shown below. a) Use JMP to fit a two-way ANOVA to the data. Using a = 0.05 draw conclusions for the ANOVA. Make sure you state your conclusion in the context of the problem. b) Does there appear to be a need to include the alloy type / thickness interaction term? c) Use JMP to fit a two-way ANOVA with interaction to the data. Using a = 0.05 draw conclusions for the ANOVA. Make sure you state your conclusion in the context of the problem. Alloy Thickness Flexes Alloy A Thickness 1 804 Alloy A Thickness 1 816 Alloy A Thickness 2 819 Alloy A Thickness 2 813 Alloy A Thickness 3 820 Alloy A Thickness 3 821 Alloy A Thickness 4 806 Alloy A Thickness 4 805 Alloy B Thickness 1 836 Alloy B Thickness 1 828 Alloy B Thickness 2 844 Alloy B Thickness 2 836 Alloy B Thickness 3 814 Alloy B Thickness 3 811 Alloy B Thickness 4 811 Alloy B Thickness 4 806 Alloy C Thickness 1 804 Alloy C Thickness 1 808 Alloy C Thickness 2 807 Alloy C Thickness 2 819 Alloy C Thickness 3 819 Alloy C Thickness 3 829 Alloy C Thickness 4 827 Alloy C Thickness 4 835

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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6) An aircraft firm is considering three different alloys for use in the wing construction of a new airplane. Each alloy can be produced in four different thicknesses (1 = thinnest, 4 = thickest). Two test samples are constructed for each combination of alloy type and thickness, then each of the 24 test samples is subjected to a laboratory device the severely flexes it until failure occurs. For each test sample the number of flexes before failure is recorded, with the data shown below.

a) Use JMP to fit a two-way ANOVA to the data. Using a = 0.05 draw conclusions for the ANOVA. Make sure you state your conclusion in the context of the problem.

b) Does there appear to be a need to include the alloy type / thickness interaction term?

c) Use JMP to fit a two-way ANOVA with interaction to the data. Using a = 0.05 draw conclusions for the ANOVA. Make sure you state your conclusion in the context of the problem.

Alloy	Thickness	Flexes
Alloy A	Thickness 1	804
Alloy A	Thickness 1	816
Alloy A	Thickness 2	819
Alloy A	Thickness 2	813
Alloy A	Thickness 3	820
Alloy A	Thickness 3	821
Alloy A	Thickness 4	806
Alloy A	Thickness 4	805
Alloy B	Thickness 1	836
Alloy B	Thickness 1	828
Alloy B	Thickness 2	844
Alloy B	Thickness 2	836
Alloy B	Thickness 3	814
Alloy B	Thickness 3	811
Alloy B	Thickness 4	811
Alloy B	Thickness 4	806
Alloy C	Thickness 1	804
Alloy C	Thickness 1	808
Alloy C	Thickness 2	807
Alloy C	Thickness 2	819
Alloy C	Thickness 3	819
Alloy C	Thickness 3	829
Alloy C	Thickness 4	827
Alloy C	Thickness 4	835