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Problem: In a follow-up experiment, we have been able to collect data on several samples of each of Alloy A and B at 3 different temperature excursions (25ο C, 80ο C and 135ο C) during thermal cycling. The Mean Time to Failure (MTTF) results are shown in the table below:
Alloy
25ο C
80ο C
135ο C
A
Sample 1
4000 hours
2500 hours
1000 hours
Sample 2
4200 hours
2900 hours
1650 hours
Sample 3
3740 hours
2310 hours
950 hours
B
3850 hours
2350 hours
875 hours
3960 hours
2470 hours
1075 hours
2200 hours
810 hours
(a) Using Excel's ANOVA tool (With Replication), determine which factors are significant.
(b) Draw the Mean Effects graphs to confirm that the interaction between alloy type and temperature is not significant.
(c) Use Excel's Regression tool to derive the equation linking MTTF with the test variables. Because of part (b), exclude the interaction variable in the linking equation.
(d) Determine the goodness of the linear fit.
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