Problem Set 5 - Improving a Process#
(Check Canvas for due dates and office hours)
Instructions
Datasets are here (same PW as the course notes)
Use this website for standard normal probability values beyond the printed table
For handwritten-questions, submit as usual (screenshot/picture/export). For excel-based questions, directly submit the excel file. You may also do a mix of both for the same question as necessary.
Write three possible factors, which can be modified to improve the corresponding CTQ.
CTQ: Punctuality of bus service at COE
CTQ: Driver’s comfort in a car
CTQ: Accessibility of ESI4234 Course Material
CTQ: Your GPA
CTQ: CTQ of the product/service/software you told on the First Day of Class (check the class notes on Canvas homepage or your HW3)
Select any two CTQs from the previous question
Describe the levels (including the number) for each factor.
How many experiments will you do if you were to individually explore all the factors at all levels?
(Data in Excel sheet) Two experimental samples were collected by changing the conveyor speed in the production of soft drink cans. Did the change in conveyor speed affect the mean width of soft drink cans (consider \(\alpha = 0.05\))?
(Data in Excel sheet) A manager of an assembly line of mobile phones tries different background music playlists to improve morale and hence, reduce the error rates. Construct an ANOVA table to check if the music playlist choice has an effect (consider \(\alpha = 0.05\)).
(Data in Excel Sheet) Improving the Quality of Cookies.
Construct the observations table, two-factor interaction plot, and ANOVA table for analyzing the effects of oven temperature and baking time on the quality of the cookies (CTQ).
Write the conclusions on the factors and their interaction effect.
Contruct a linear response surface (write down the equation) to map the factors with CTQ and provide the next four designs to improve the quality of the cookies (with predicted cookie quality).
Acknowledgements#
Molly Sonn (Fall 2025)