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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

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 (25 C, 80 C and 135 C) during thermal cycling. The Mean Time to Failure (MTTF) results are shown in the table below:

Alloy

25 C

80 C

135 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

Sample 1

3850 hours

2350 hours

875 hours

Sample 2

3960 hours

2470 hours

1075 hours

Sample 3

3740 hours

2200 hours

810 hours

(a) Using Excels 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 Excels 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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