A manufacturer of paper bags wants to analyze the tear resistance (Y), for which he decides to
Question:
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
SOLVE BY EXCEL AND CHECK THE SOLUTION IN MINITAB. I'll rate :)
X1 | X2 | X3 | 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 |
Essentials of Business Statistics Communicating With Numbers
ISBN: 978-0078020544
1st edition
Authors: Sanjiv Jaggia, Alison Kelly