This document provides requirements and templates for a project analyze tollgate. It lists mandatory and optional deliverables including root cause validation, cause and effect diagrams, failure mode and effects analysis, hypothesis testing summaries, and process constraint identification. Templates are provided for project charter, measure overview, Pareto analysis, and hypothesis testing. The document aims to guide black belts through requirements for certification at the analyze phase tollgate.
1. UNCLASSIFIED / FOUO
Black Belt
Analyze
Tollgate Briefing
Project Name
DEPMS Project Number
Name of Belt
Organization
Date
UNCLASSIFIED / FOUO
2. UNCLASSIFIED / FOUO
Tollgate Requirements - Analyze
NG CPI BLACK BELT TOLLGATE REQUIREMENTS
PROJECT DELIVERABLES NGB COMMENTS
ANALYZE
Root Cause Validation / Identification Mandatory Required for all projects
Cause & Effect Analysis (Fishbone) Mandatory Identify all potential Xs
Cause & Effect (XY) Matrix Mandatory Determine critical Xs
Failure Modes & Effects Analysis Mandatory Analyze risk
Hypothesis Testing / Regression/ ANOVA Optional Varies by project
Process Constraint ID Optional Varies by project
Takt Rate / Time Study Optional Varies by project
Pareto Charts Optional Varies by project
Sampling Plan / Analysis Optional Varies by project
Storyboard / A3 Mandatory 1-page proj summary
Barriers/Issues/Risks Mandatory
Quick Wins Recommended
Lessons Learned Optional
2
UNCLASSIFIED / FOUO
3. UNCLASSIFIED / FOUO
Analyze Tollgate Templates
NOTE: THIS IS A TEMPLATE FOR ALL NG CPI BELTS
NG has developed this template as a basic format with standard deliverables to
help guide NG CPI belts through the NG tollgate requirements for certification.
It is recognized that each project is unique and has unique deliverables with
unique flows. Therefore, this format does not have to be followed exactly to the
letter of the law for your project.
(DELETE THIS SLIDE FOR YOUR PROJECT)
3
UNCLASSIFIED / FOUO
4. UNCLASSIFIED / FOUO
Define Charter and Timeline
Team Members
Name Role Affiliation DACI
Black Belt Driver
Master Black Belt Driver
Take away
Project Sponsor Approver
message goes
Process Owner Approver
here
Project Charter (impact of
Problem problem)
Statement:
Business Case:
Project Timeline
Goal Statement:
Phase Start Stop Status
Unit: Define mm/dd/yy mm/dd/yy
Defect: Measure mm/dd/yy mm/dd/yy
Customer Analyze mm/dd/yy mm/dd/yy
Specifications:
Improve mm/dd/yy mm/dd/yy
Process Start:
Control mm/dd/yy mm/dd/yy
Process Stop:
4
Scope:
Required Deliverable UNCLASSIFIED / FOUO
5. UNCLASSIFIED / FOUO
Measure Overview
Baseline Statistics Process Capability
Process Capability of Delivery Time P otential (Within) C apability
VOC / VOB LSL Target USL
Cp
C PL
1.16
2.22
Unit (d) or Mean (c) W ithin
C PU
C pk
0.10
0.10
O v erall C C pk 1.16
Defect (d) or St. Dev. (c) O v erall C apability
Pp 1.24
DPMO (d) PPL 2.37
PPU 0.11
PCE: (Cycle Time Only)
PLT: (Cycle Time Only)
- Example - LS L
P pk
C pm
0.11
0.35
P rocess D ata
10
T arget 20
USL 30
S ample M ean 29.1203
Sigma Quality Level S ample N
S tD ev (Within)
266
2.87033
S tD ev (O v erall) 2.69154
12 16 20 24 28 32 36
MSA Results: show the percentage result of the GR&R or other O bserv ed P erformance E xp. Within P erformance E xp. O v erall P erformance
P P M < LS L 0.00
measurement systems analysis carried out in the project
P P M < LS L 0.00 PPM < LS L 0.00
PPM > USL 281954.89 PPM > USL 379619.67 PPM > USL 371895.18
P P M T otal 281954.89 PPM T otal 379619.67 P P M T otal 371895.18
Baseline “As Is” Performance Tools Used
Summary for Delivery Time A nderson-D arling N ormality Test
Detailed process mapping Time Series Plot
A -S quared 1.95
P -V alue <
M ean
0.005
29.128 Measurement Systems Analysis Probability Plot
S tD ev 2.677
V ariance
S kew ness
7.169
0.201075 Value Stream Mapping Pareto Analysis
Kurtosis -0.471714
N
M inimum
266
24.000 Data Collection Planning Operational Definitions
5s
1st Q uartile 27.000
24 26 28 30 32 34
M edian
3rd Q uartile
29.000
31.000 Basic Statistics
Generic Pull
M aximum 35.000
95% C onfidence Interv al for M ean
28.805 29.451
Process Capability
95% C onfidence Interv al for M edian
29.000 29.000 Histograms Control Charts
95% C onfidence Interv al for S tD ev
9 5 % C onfidence Inter v als
2.468 2.927
Mean
5
Median
28.8 28.9 29.0 29.1 29.2 29.3 29.4
Required Deliverable
UNCLASSIFIED / FOUO
6. UNCLASSIFIED / FOUO
Process Constraint ID Analysis
Takt Rate Analysis compares the task time of each process (or process step) to other steps
and customer demand to determine if the time trap is the constraint
Takt Time = Net Process Time Available Takt Rate = Customer Demand Rate = Number of Units to Process
Number of Units to Process Net Process Time Available
Value Add Analysis - Current State
Takt Tim e = 55
80
Task Time (seconds)
70
60
50
40
30
20
10
0
1 2 3 4 5 6 7 8 9 10
Task #
- Example -
CVA Time NVA-R Time NVA Time
6
BB Optional Deliverable
UNCLASSIFIED / FOUO
7. UNCLASSIFIED / FOUO
Pareto Plot Analysis
Pareto Chart
100
150
80
- Example -
Percent
100 60
Count
40
50
20
0 0
ut h r th t e rs
So No Ea
s Oth
Defect
Count 100 50 15 6
Percent 58.5 29.2 8.8 3.5
Cum % 58.5 87.7 96.5 100.0
The South and North contain over 80% of the defects. Our
project will focus here and not on the East and West.
7
Optional Deliverable
UNCLASSIFIED / FOUO
8. UNCLASSIFIED / FOUO
Cause & Effect Diagram (Fishbone)
Materials Manpower Facilities & Equipment
Wrong Location
Space
Lack of Seats No Standardization of seats Lack of Knowledge Old Buildings
Inequality in seats New Codes
Lack of Funds Lack of Controls Not Suited for
“Dedicated” to Task
Senior Leader Current Mission (Type of Space)
No Suitable space to Assign
Getting Seats Takes Time
(Y) Effect:
Vague
Reqmts
Lack of Database PLT = 5 days
People Unplanned Programs
Multiple Paths Facilities (too long)
Location (Competing for
Same Space)
Lack of Controls
Senior Leadership - Example -
Delays in elevating Too Long (Time)
Collocation
Impasse issues Mold, HVAC Crashes
Approvals
Methods Mother Nature Measurements
CAO/IPT Time Avail to
Unforeseen Funding Decision Wait
Circumstances
Competency vs. PMA
8
Required Deliverable
UNCLASSIFIED / FOUO
9. UNCLASSIFIED / FOUO
XY Matrix (Root Cause Analysis)
Ra ting of
Importa nce to
Custome r
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Requirement
Requirement
Requirement
Requirement
Requirement
Requirement
Requirement
Requirement
Requirement
Requirement
Requirement
Requirement
Requirement
Requirement
Requirement
Total
Proce ss Ste p Proce ss Input
1 0
2 0
3 0
4 0
5 0
6 0
7 0
8 0
9 0
10 0
11 0
12 0
13 0
14 0
15 0
16 0
17 0
18 0
19 0
20 0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Total
Lower Spec
Target
Upper Spec
This table prov ides the initial input to the FMEA. W hen each of the output variables
(requirements) are not correct, that represents potential "EFFECTS". W hen each input
variable is not correct, that represents "Failure Modes".
1. List the Key Process Output Variables
2. Rate each v ariable on a 1-to-10 scale to importantance to the customer
3. List Key Process Input Variables
4. Rate each v ariables relationship to each output variable on a 1-to-10 scale
5. Select the top input variables to start the FMEA process; Determine how each selected
input varable can "go wrong" and place that in the Failure Mode column of the FMEA.
9
Required DeliverableUNCLASSIFIED / FOUO
10. UNCLASSIFIED / FOUO
Failure Mode Effects Analysis (FMEA)
Process/Product
Failure Modes and Effects Analysis Form
(FMEA)
Pag
Process or
Prepared by: e
Product Name:
____
Responsible: FMEA Date (Orig) ______________ (Rev) _____________
O
Process Potential Failure Potential Failure D
S Potential Causes C Current Controls
Step / Input Mode Effects E
E C
T
What is the In what ways does What is the impact V What causes the Key U What are the existing
E
process the Key Input go on the Key Output E Input to go wrong? R controls and procedures RP
C
step and wrong? Variables (Customer R R (inspection and test) that N
T
Input under Requirements)? I E prevent either the cause
I
investiga- T N or the Failure Mode?
O
tion? Y C
N
E
0
0
0
Required Deliverable 0
0
0
0
0
0 10
UNCLASSIFIED / FOUO 0
11. UNCLASSIFIED / FOUO
Hypothesis Test Summary
Hypothesis Test Factor (x)
(ANOVA, 1 or 2 sample t - test, Chi Squared, p Value Observations/Conclusion
Regression, Test of Equal Variance, etc) Tested
Significant factor - 1 hour driving time from DC
Example: ANOVA Location 0.030 to Baltimore office causes ticket cycle time to
generally be longer for the Baltimore site
Significant factor - on average, calls requiring
Example: ANOVA Part vs. No Part 0.004 parts have double the cycle time (22 vs 43
hours)
Significant factor - Department 4 has digitized
Example: Chi Squared Department 0.000 addition of customer info to ticket and less
human intervention, resulting in fewer errors
South region accounted for 59% of the defects
Example: Pareto Region n/a due to their manual process and distance from
the parts warehouse
- Example - Optional BB Deliverable
Describe any other observations about the root cause (x) data
11
UNCLASSIFIED / FOUO
12. UNCLASSIFIED / FOUO
One-Way ANOVA: Root Cause Verification
Boxplots of Net Hour by Part/No
(means are indicated by solid circles)
After further investigation, possible 150
Boxplot: Part/ No Part Impact on Ticket Cycle Time
reasons proposed by the team are
OEM backorders, lack of technician
- Example -
Net Hours Call Open
certifications and the distance from
the OEM to the client site. It is also 100
caused by the need for technicians to
make a second visit to the end user
to complete the part replacement. 50
Next step will be for the team to
confirm these suspected root causes.
0
Part/No Part
Part
No Part
Analysis of Variance for Net Hour Because the p-value <=
Source DF SS MS F P
Part/No 1 7421 7421 8.65 0.004 0.05, we can be confident
Error 69 59194 858 that calls requiring parts
Total 70 66615 do have an impact on the
Individual 95% CI's For Mean
Level N Mean StDev --+---------+---------+---------+----
ticket cycle time.
No Part 27 21.99 19.95 (--------*---------)
Part 44 43.05 33.70 (------*------)
--+---------+---------+---------+----
Pooled StDev = 29.29 12 24 36 48
12
Optional BB Deliverable
UNCLASSIFIED / FOUO
13. UNCLASSIFIED / FOUO
Linear Regression
95% confident that 94.1% of the variation in “Wait Time” is from the “Qty of Deliveries”
Fitted Line Plot
Wait Time = 32.05 + 0.5825 Deliveries
55
S 1.11885
R-Sq 94.1%
R-Sq(adj) 93.9%
50
Wait Time
45
40
- Example -
35
10 15 20 25 30 35
Deliveries
13
Optional BB Deliverable
UNCLASSIFIED / FOUO
15. UNCLASSIFIED / FOUO
DMAIC Analyze Storyboard
Define 1.2 Day
Project Charter CCR Gap Sigma
Performanc
BUS CASE: Be #2 Fin Service Provider e Level of
1.3
GOAL: Reduce Loan/Lease CT from
9.2 to 8.0 days by July 1
Measure
FIN IMPACT: $2.7M per year Analyze
- Example -
Officer Work & Turnover, Waiting, & Automation
Affect CT; Job Aids affect Variation in CT
Required Deliverable
15
UNCLASSIFIED / FOUO
16. UNCLASSIFIED / FOUO
8-Step A3 Project Summary Report
Company: Department: Date: Prepared by:
1. Define the problem situation 3. Action plans to correct problems
2. Problem Analysis 4. Results of Activity
5. Future Steps
16
UNCLASSIFIED / FOUO
17. UNCLASSIFIED / FOUO
NG CPI Tollgate Tool
8-STEP PROCESS
1. Validate 2. Identify 3. Set 4. Find Root 5. Develop 6. See C-Ms 7. Confirm
8. Standardize
Problem Gaps Targets Cause C-Ms Through Results
Define Measure Analyze Improve Control
Project Charter
• Problem Stmt Detailed As Is Process Potential Xs “To Be” Process Map Process Control Plan
• Defect Definition Map • Brainstorming
• 5 Whys Solution Generation / Process Owner
• Goal Statement
Value Stream Map • Fishbone Prioritization Accountability
• Project Scope Affinity Diagram
Key Process Metrics •
• Business Impact
• Strat Alignment Data Collection Plan Critical Xs Improvement Strategy Updated Financial
Measure Systems • Cause & Effect Matrix • Improvement Model Benefits
Sponsor & Team • Hypothesis Testing • Implementation Plan
Analysis • Pilot
• Regression Replication Opportunities
Replication Check Data Collected • “X” Improvement Target
• Time Studies
Measurable Y Baseline Data Analysis • Theory of Constraints Mistake Proofing Project Documentation
Voice of Customer • Descriptive Stats of revised policies,
FMEA SOP’s, procedures, and
Customer Specs • Graphs
• Risk Analysis
• Pareto Charts
training
Voice of Business • Risk Mitigation Plan
Project Timeline Est Financial Benefits FMEA Visual Process Control
• Risk Analysis Tools (Optional)
Communication Plan Control Charts (as • Risk Mitigation Plan
• Stakeholder Analysis needed)
High Level Process Process Capability Control Charts
Map (SIPOC) Process Capability
I accept the Define I accept the Measure I accept the Analyze I accept the Improve I accept the Control
Tollgate Tollgate Tollgate Tollgate Tollgate
(Sponsor) (Sponsor) (Sponsor) (Sponsor) (Sponsor)
(Process Owner) (Process Owner) (Process Owner) (Process Owner) (Process Owner)
(MBB) (MBB) (MBB) (MBB) (MBB)
(Finance Owner) (Finance Owner) 17
UNCLASSIFIED / FOUO
19. UNCLASSIFIED / FOUO
Cross Functional Team
Team Members
Name Role Affiliation DACI
Black Belt Driver
Master Black Belt Driver
Project Sponsor Approver
Process Owner Approver
Contributor
Contributor
Contributor
Contributor
Inform
Inform
Inform
Inform
19
Required Deliverable
UNCLASSIFIED / FOUO
20. UNCLASSIFIED / FOUO
Replication Check
I confirm that:
DEPMS (DoD Enterprise Performance Management System) has been
searched for similar projects: Yes / No
Replication: List relevant initiatives / potential replication projects
found (if any):
• Project 1: (DEPMS # or other tracking tool project number)
• Project 2:
Collaboration: Identify organizations that can/should be considered for
working this project collaboratively:
• Organization 1:
• Organization 2: 20
Required Deliverable
UNCLASSIFIED / FOUO
21. UNCLASSIFIED / FOUO
Strategic Alignment
The Define Tollgate requires a linkage to organizational strategy.
Include an organizational metric/metrics for which your project will
help improve
Refer to your organization’s Strategic Plan and/or other referenced
documents
21
Required Deliverable
UNCLASSIFIED / FOUO
22. UNCLASSIFIED / FOUO
Business Impact
Insert as much information as possible about the potential operational
and/or financial benefits
Include any assumptions upon which these estimates are based
Example: Operational benefits – This project is expected to reduce PLT
by 35%, improve SQL from 1.2 to 3.0, save 20 man hours per shift
Example: Financial benefits – This project is expected to save $xx in FYxx
22
Required Deliverable
UNCLASSIFIED / FOUO
24. UNCLASSIFIED / FOUO
Voice of Customer / Voice of Business
Critical Customer
Voice of the Key Customer Issue(s) Requirement
Customer /
What does the customer want from us? What does the customer want from us? We should summarize key issues and
We need to identify the issue(s) that translate them into specific and measurable
prevent us from satisfying our requirements
customers.
CriticalBusiness
Voice of the Key Process Issue(s)
Requirement
Business
What does the business want/need from us? What does the business want/need from We should summarize key issues and
us? We need to identify the issue(s) translate them into specific and measurable
that prevent us from meeting strategic requirements
goals/missions.
24
Required Deliverable
UNCLASSIFIED / FOUO
25. UNCLASSIFIED / FOUO
Stakeholder Analysis
Stakeholder Explanation of
Stakeholder’s Stakeholder
Project Impact Level of Current Action Plan
Stakeholder Current Attitude Score
On Stakeholder Influence on Stakeholder For
Name/Group Toward Project (H=3, M=2, L=1,
(H, M, L) Success of Attitude Stakeholder
( +, 0, - ) +=3, 0=1, -=-3)
Project (H,M,L) (list)
Recommended Deliverable 25
UNCLASSIFIED / FOUO
26. UNCLASSIFIED / FOUO
Communication Plan
Topics of
Audience Media Purpose Discussion/ Owner Frequency Notes/Status
Key Messages
26
Required Deliverable
UNCLASSIFIED / FOUO
27. UNCLASSIFIED / FOUO
Detailed “As Is” Process Map
- Example -
Required Deliverable - VSM or Process Map or Both
27
UNCLASSIFIED / FOUO
28. UNCLASSIFIED / FOUO
Value Stream Map
Order Mgmt Supervisor
Service lead time = 384 min
CUSTOMER Weekly Update
- Example - Customer call time = 24 min
Phone Call
Phone Call
Trigger:
Order Mgmt
Completion Criteria:
Cycle Time:
Screen for Acct Mgr Takt Time:
Number of People:
Manual Update
SUPPLIERS
P/T = 3 min
Number of Approvals:
Items in Inbox:
Lost calls=10%
% Rework:
# of Iterations (cycles):
Volume=1200 # of Databases:
Top 3 Rework Issues:
1.
2.
3.
Large
Business
6 Customers
Order Mgmt Order Mgmt Order Mgmt Order Mgmt DIST
Customer Product Shipping Pick
Info Need Pricing Info
Small 4 4 4 4 10 Pack & Ship
Business 20 Orders
5 Customers P/T = 2 min P/T = 6 Min P/T = 6 Min P/T = 2 Min P/T = 120 Min
Error Rate=2% Error Rate=0% Error Rate=2% Error Rate=1% Error Rate=1%
Volume=800
Volume=1200
Home
Volume=800 Volume=800 Volume=800
3 Customers
5 min 240 min
3 min 2 min 6 min 6 min 2 min 120 min
Required Deliverable - VSM or Process Map or Both 28
UNCLASSIFIED / FOUO
30. UNCLASSIFIED / FOUO
Operational Definitions
Define each of the Key Input, Output, Process Metrics from your SIPOC that you are going to
collect data on (via the Data Collection Plan) as well as any other terms that need clarification
for the data collectors and everyone else on the team.
Examples:
Award Process PLT: The time from when a Director submits the Award recommendation to
the time when the employee is presented the Award in a ceremony.
Number of Claims Processed: The number of Claims processed per weekday (M-F).
Total Hours Worked: The total number of hours worked in the facility including weekends
and holidays.
Number of Personnel: The total number of military and civilian personnel working (not
including contractors).
Include other unique terms that apply to your project that require clear operational definitions
for those collecting the data and for those interpreting the data.
Required
30
UNCLASSIFIED / FOUO
31. UNCLASSIFIED / FOUO
Data Collection Plan
Performanc Operational Data How Will Data Be Who Will When Will Sampl Stratificati How will
e Measure Definition Source and Collected Collect Data Be e Size on Factors data be
Location Data Collected used?
1
Ability to update X – Steps to In DEPMS By counting steps Name ASAP 1 None To find VA, BNVA,
projects and update projects NVA
build tollgate
reviews
- Example -
2
Ability to update X – Tollgate In DEPMS By determining % of Name ASAP 40 None To determine
projects and template slides activity steps identified in consistency with
build tollgate that match POI “Introduction to _____” POI
reviews modules in POI that are
adequately addressed in
templates
3
Easy Access to X – Availability of In DEPMS By determining the Name ASAP 63 None To determine
LSS tools and LSS tools and percentage of tools, with availability of tools
references references their references, listed on and references
DMAIC Road Map slides that
can be found in PS
4
Easy Access to X – Steps In DEPMS By counting # steps Name ASAP 37 None To find VA, BNVA,
LSS tools and required to find required to find the tools NVA
references tools and and their references
references
31
Required Deliverable
UNCLASSIFIED / FOUO
32. UNCLASSIFIED / FOUO
Measurement Systems Analysis
The Measurement System used to collect data has been calibrated and is considered to have no potential for significant
errors. The data collection tool is reliable, can be counted on, has good resolution, shows no signs of bias and is stable.
Type of
Measurement Description Considerations to this Project
Error
The ability of the measurement Work hours can be measured to <.25
Discrimination
system to divide measurements into hours. Radar usage measure to +- 2
(resolution)
“data categories” minute.
The difference between an observed No bias - Work hours and radar start-
Bias average measurement result and a stop times consistent through
reference value population.
No bias of work hours and radar
Stability The change in bias over time
usage data.
Not an issue. Labor and radar usage
Repeatability The extent variability is consistent is historical and felt to be accurate
enough for insight and analysis.
- Example - Remarks in usage data deemed not
Different appraisers produce reproducible, therefore were not
Reproducibility
consistent results considered in determining which
radars were used in each op
32
Variation The difference between parts Required Deliverable process.
N/a to this
UNCLASSIFIED / FOUO
33. UNCLASSIFIED / FOUO
Reported by :
Gage name:
Tolerance:
Measurement Systems Analysis Date of study :
Misc:
Gage R&R (ANOVA) for Response
Gage R&R
Components of Variation Response by Part
%Contribution
Source VarComp (of VarComp) 100 % Contribution
% Study Var
10.00
Total Gage R&R 0.0015896 3.70
Percent
Repeatability 0.0005567 1.29 9.75
Reproducibility 0.0010330 2.40 50
Operator 0.0003418 0.79 9.50
Operator*Part 0.0006912 1.61
0
Part-To-Part 0.0414247 96.30 Gage R&R Repeat Reprod Part-to-Part 1 2 3 4 5 6 7 8 9 10
Total Variation 0.0430143 100.00 Part
R Chart by Operator
Study Var %Study Var Response by Operator
1 2 3
Source StdDev (SD) (6 * SD) (%SV) UCL=0.1073
0.10 10.00
Total Gage R&R 0.039870 0.23922 19.22
Sample Range
Repeatability 0.023594 0.14156 11.38
Reproducibility 0.032140 0.19284 15.50 _ 9.75
0.05
Operator 0.018488 0.11093 8.91 R=0.0417
Operator*Part 0.026290 0.15774 12.68 9.50
Part-To-Part 0.203531 1.22118 98.13 0.00 LCL=0
1 2 3
Total Variation 0.207399 1.24439 100.00
Operator
Xbar Chart by Operator
Number of Distinct Categories = 7 1 2 3 Operator * Part Interaction
10.00 10.00 Operator
Sample Mean
UCL=9.8422
_ 1
The Measurement _
Average
2
X=9.7996 9.75
9.75 LCL=9.7569
3
System is acceptable
9.50
with the Total Gage 9.50
1 2 3 4 5 6 7 8 9 10
R&R % Contribution Part
<10% - Example - 33
Optional BB Deliverable
UNCLASSIFIED / FOUO
34. UNCLASSIFIED / FOUO
“As Is” Baseline Statistics
Summary for Workdays
A nderson-Darling N ormality Test
A -S quared 12.65
P -V alue < 0.005
M ean 44.814
S tDev 61.251
- Example - V ariance
S kew ness
3751.674
2.87329
Kurtosis 9.54577
N 118
M inimum 1.000 The current process
has a non-normal
1st Q uartile 12.000
M edian 22.000
3rd Q uartile 52.000
0 60 120 180 240 300 360
M aximum 365.000 distribution with the
95% C onfidence Interv al for M ean
33.647 55.981 P-Value < 0.05
95% C onfidence Interv al for M edian
17.000 29.123
95% C onfidence Interv al for S tDev
Mean = 44 days
9 5 % C onfidence Inter vals
54.308 70.246
Mean Median = 22 days
Median
20 30 40 50 60 Std Dev = 61 days
Range = 365 days
Required Deliverable
34
UNCLASSIFIED / FOUO
35. UNCLASSIFIED / FOUO
Process Control Chart
I-MR Chart of Delivery Time
The current baseline
40
delivery time is stable UC L=37.70
over time with both
Indiv idual V alue
35
the Moving Range 30 _
X=29.13
(3.22 days) and 25
Individual Average
LC L=20.56
(29.13 days) 20
1 28 55 82 109 136 163 190 217 244
experiencing common Observation
cause variation 10.0
UC L=10.53
255 data points
M ov ing Range
7.5
collected with zero 5.0
subgroups, thus the
__
MR=3.22
2.5
I&MR control chart
0.0 LC L=0
selected 1 28 55 82 109 136 163 190 217 244
Observation
- Example - Required As Applicable
35
UNCLASSIFIED / FOUO
36. UNCLASSIFIED / FOUO
Process Capability
Process Capability of Workdays
118 data points collected Calculations Based on Lognormal Distribution Model
Non-normal distribution
LSL
USL
Mean = 44 days LS L
P rocess Data
0
O v erall C apability
Z.Bench -0.31
Target * Z.LS L 3.07
Lower Cust Spec = 0 days USL 15 Z.U S L -0.02
Upper Cust Spec = 15 days
S ample M ean 44.8136
S ample N 118 - Example - P pk -0.01
E xp. O v erall P erformance
Location 3.09501
% < LS L 0.00
S cale 1.26378
65% of observations % > U S L 62.03
O bserv ed P erformance % Total 62.03
outside customer spec % < LS L 0.00
% > U S L 65.25
Z Bench = -.31 % Total 65.25
0 60 120 180 240 300 360 420
Required Deliverable
36
UNCLASSIFIED / FOUO