Six Sigma Topic 4 Homework
1. Create cause-and-effect diagrams for a long line at the supermarket.
2. Conduct an FMEA of a pencil. Consider that the function is to make a black mark.
Requirements could include that it is to make a mark, it marks a black c
Probability and Statistics
Basic Probability concepts
Most inspection and quality control theory deals with statistics to make inference about a population based on information contained in samples. The mechanism we use to make these inferences is probabi
Six Sigma Topic 1 Homework
Describe the Six Sigma methodology to someone who has not heard of it.
What are the benefits of implementing the Six Sigma methodology?
Describe what it takes to become a green belt.
What does a person need to
CTQ Flow Down
Y1 Y2 Y3 .
Select Y's (CTQ's)
Decompose Yi into contributing elements, yi Decompose yi into contributing elements xi, n
Yi y1 y2 y3 . yi
x1 x2 x3 .
CTQ Flow Down Example
Customer Requirement (Critical to Quality): Low
Business Process management
Business Process vs Organization Function
SIPOC Diagram and Process Elements
SIPOC diagram and process elements
Any change in process output (O) will be related to one or more changes in supplier, inputs or process actions (SI
Measurement System Analysis
There is much confusion on measurement terminology. There are four characteristics to examine in a gage system. Sensitivity The gage should be sensitive enough to detect differences in measurement as slight as one-tenth of the
t-Test: Two-Sample Assuming Unequal Variances
Hypothesized Mean Difference
t Critical one-tail
t Critical two-tail
Sample Control Chart
Sample Control Chart (P-Chart)
3 Sigma UCL
3 Sigma LCL
Data point FAR outside of control limits at 10/28/2012
2 out of 3 data points outside of control limits from 11/25
In a random audit, 500 charts were picked with an opportunity of 10 defects in a chart. At the end of
audit 30 defects were found in the charts.
Units sampled (Units)
Opportunities for defects
Linear Regression Analysis Notes
Dependent Variable: y
Independent Variable: x
y a bx
n x i y i x i y i
i 1 i 1 slope
n xi x i
y i b xi
i 1 int ercept
a y bx i 1
[ n x i y i xi y i ] 2
i 1 i 1
Hypothesis Testing Examples
By: Dr. Parisay
This handout presents discussion on how to interpret hypothesis testing examples. The
detail solutions will be performed in class. Dr. Parisays comments are in red
Version 1: The average height of female
Analyze Phase of the DMAIC
Analyze process to identify how it can be
Understand causal relationships
Find and reduce root causes
Iteration and Discovery
Running head: Six Sigma Chapters 9 & 14
Six Sigma for Green Belts and Champions: A Review of Chapters 9 & 14
Renita A. Duncan
Six Sigma Green Belt II
July 21, 2013
Professor Bruce Stephens
Southwestern College of Professional Studies
SIX SIGMA Chapters
Six Sigma Topic 5 Homework
1. Explain the differences between fixed and random factors in Design of
2. Explain the three pillars of DoE.
3. What are the differences between replication and repetition?
4. In plastic injection molding, te
Six Sigma Topic 3 Homework
1. What are the differences between attribute measurement and variable
2. What an inspector should do when a defect is found?
3. What are the differences between natural variations and assignable variations?
Mistake Proof Instruction
Cycle of throw using Rubber
Cycle time of throw
Cycletime for less practice of throwing catapult
Cycletime to deliver the result
Potential Failure modes
Six Sigma Enterprise-wide deployment
What is Six Sigma?
Six sigma is a highly disciplined process that focuses on developing and delivering near perfect product and services consistently Six sigma is also a management strategy to use statistical tools and
Types of Teams
Improvement Teams A group belonging to any department chooses to solve a quality/productivity problem. It will continue until a reasonable solution is found and implemented. The problem may be management selected but the sol
Six Sigma: Define Phase
Define Phase Outcomes
Define the problem with a High-Level Problem Statement Specifically identify the process or product customers impacted by the problem Define CTQs (Critical to Quality) characteristics from the customer's poin
Measure Phase Elements
Perform Data Collection Perform Measurement System Analysis Develop Data Collection Plan Determine Data Type Identify Measurement and Variation
Perform Capability Analysis
Measure: Body of Knowledge Needed Data
Analyze Phase Elements
Identify Sources of Variation
Use Analysis Tools
Select Analysis Tools
Basic Tools and Methods Measuring and modeling the relationship between Variables Hypothesis Testing Failure mode and effects analysis (F
Step-by-step procedure of the MultiVari Chart Analysis:
1. Identify the single unit in which a set of multivariate data is collected, and select a good data collection plan so that each data set contains sufficient information for our study. 2. Select an
Analysis of Variance and Comparative Experiment
An independent automobile evaluation company wants to compare the qualities of 4 different cars, Ford Taurus, Chevy Lumina, Honda Accord and Toyota Camry. Evaluation cars are driven and evaluated
DOE Analysis Steps
The following are the basic steps in a DOE analysis. 1. Look at the data. Examine it for outliers, typos and obvious problems. Construct as many graphs as you can to get the big picture. Response distributions (histograms, box plots, et
3/15/2013 11:03:55 AM
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Gage R&R Study Worksheet
Gage R&R Study - ANOVA Method
Two-Way ANOVA Table With Interaction
Parts * Oper