Practice Problem 4

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SUNY Buffalo State College *

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509LEC

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Industrial Engineering

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Dec 6, 2023

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docx

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10

Uploaded by ProfGorilla13929

Practice Exam 4 Department of Industrial & Systems Engineering, University at Buffalo IE 509 | Fall 2023 Six Sigma Quality Dr. Cecilia Martinez Leon, Ph.D. Sc.D., MBB Due Date: November 12, 2023 Name: Shihan Reza
Q1. I did a cube plot Geometric representation of this experiment. Performing, Factorial Regression: Dryability versus drying agent, Temperature From the Coded coefficient table, I can see the effect of Drying Agent, temperature and the combination of both. By changing Drying Agent, I got the highest effect on the Dryability. After that temperature which is less than half of the effect of drying agent. The p-values for the main effects of drying agent, temperature and drying agent and temperature are less than 0.05, indicating that all factors have a significant effect on Dryability.
So, from the Pareto chart I can tell the impact of Drying Agent is statistically significant than temperature. So, his hypothesis is correct when he said “that a high level of drying agent will result in high Dryability, high temperature – alone – will result in a moderately high level of Dryability, and low temperature or a low level of drying agent will result in a low level of Dryability.” the model that we have created with these two factors and the interaction, captures the overall variability observed in the data. R sq is high so it’s telling so they are creating high impact.
From the normal plot we can tell Factor A (drying Agent) B (temperature) and Ab all of them are significant
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