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A manufacturer of paper bags wants to analyze the tear resistance (Y), for which he decides to use a factorial design 2^3. The factors that

A manufacturer of paper bags wants to analyze the tear resistance (Y), for which he decides to use a factorial design 2^3. The factors that were studied are X1 = Paper, X2 = Moisture and X3 = Scratch direction. 3 replicas were executed in each combination, which is shown below:

a) Make an ANOVA table with a significance level of 5% and draw conclusions, it is important that the Simplified ANOVA Table be carried out
b) Make a Pareto diagram for the standardized effects of the first ANOVA Table performed and obtain conclusions
c) Develop the statistical model that allows for predicting tear resistance based on significant factors

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X1
Paper

X2
Moisture

X3
Scratch direction

Resistance

I

II

III

-1

-1

-1

3.8

3.1

2.2

1

-1

-1

6.6

8

6.8

-1

1

-1

3.4

1.7

3.8

1

1

-1

6.8

8.2

6

-1

-1

1

2.3

3.1

0.7

1

-1

1

4.7

3.5

4.4

-1

1

1

2.1

1.1

3.6

1

1

1

4.2

4.7

2.9


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