Statistics

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Fall2017finaltest.xlsm

Problem 1 ppt

100 points
Since you have taken a course titled: Design for Quality with emphasis on Design of Experiments
Your new manager is interested in how it can be used in the company.
You need to develop a PowerPoint presentation of about 10 -15 slides to present
a convincing case for its use.

Problem 2 Experiment

100 points
An example of baking cookies.
The bakery wants to bake chocolate chip cookies for more sales.
Of course, the taste has to meet the customer's taste.
A focus panel of customers will be used to measure the taste.
A Likert scale from 1 - 10 will be used, with 10 being great taste.
The bakery will have 4 factors at 2 levels to consider, but only 8 runs to use.
Provide the following:
1) run order chart and analysis
2) effects of the matrix
3) npp of the effects and any significant?
4) coefficients for the prediction equation
5) prediction equation
6) ANOVA table
7) Your analysis on what factors and levels are best for making good tasting cookies
Factors Amount
Low (-1) High (+1)
butter (A) 15 g 25 g
sugar (B) 1/2 cup 3/4 cup
baking powder - C 1/2 teaspoon 1 teaspoon
baking time (D) 15 minutes 20 minutes
The experiment will be a 1/2 design of a 24-1, a 2^(4-1) = 8 runs
Standard order run order A B C D = ABC AB = CD AC = BD AD = BC response
1 8 -1 -1 -1 -1 1 1 1 9
2 4 1 -1 -1 1 -1 -1 1 10
3 6 -1 1 -1 1 -1 1 -1 6
4 2 1 1 -1 -1 1 -1 -1 3
5 5 -1 -1 1 1 1 -1 -1 7
6 1 1 -1 1 -1 -1 1 -1 7
7 7 -1 1 1 -1 -1 -1 1 5
8 3 1 1 1 1 1 1 1 7