INTELLIGENCE QUALITY LEAN SIX SIGMA GREEN BELT Work Book Lean Six Sigma Green Belt Online Workbook Name : ___________________________ Batch : ___________________________ Organization : ___________________________ Intelligence Quality (IQ) www.iq6sigma.com Page |1 Lean Six Sigma Green Belt Online Workbook What is required for an organization to be successful? __________________________________________________ __________________________________________________ __________________________________________________ __________________________________________________ __________________________________________________ Intelligence Quality (IQ) www.iq6sigma.com Page |2 Lean Six Sigma Green Belt Online Workbook Y = f (Xn) Equation Exercise Identify the various dependent and independent variables for: ______________ Intelligence Quality (IQ) www.iq6sigma.com Page |3 Lean Six Sigma Green Belt Online Workbook Which Pond is Safe to Cross? A) Pond A B) Pond B C) Both D) Unable to decide Intelligence Quality (IQ) www.iq6sigma.com Page |4 Lean Six Sigma Green Belt Online Workbook Standard Deviation Calculation Σ = summation sign x = individual observations. xbar = mean of the observations n = total number of observations Pond A x x-xbar (x-xbar)2 2 2 – 4 = -2 4 4 4–4=0 0 4 4–4=0 0 5 5–4=1 1 5 5–4=1 1 4 4–4=0 0 Sum 24 Average 4 n 6 6 Standard Deviation = √6 / 6 = √1 = 1 Pond B x x-xbar (x-xbar)2 2 3 4 7 4 Sum Average n Standard Deviation = Intelligence Quality (IQ) www.iq6sigma.com Page |5 Lean Six Sigma Green Belt Online Workbook DPMO Calculation Exercise Let’s inspect the quality of the GEMS Chocolate. Calculate the DPMO and Sigma value for the sample that we have collected from the market. Please take out the GEMS Chocolate packet given to you. Step 1 : Identify & Finalise the parameters to inspect Parameters – Colour, Crack, Shape & Taste Step 2 : Inspect each gems in the packet based on the parameters Step 3 : Identify the number of defects in gems for each parameter Step 4 : Document the findings from your sample in the below table No. of GEMS chocolates inside the packet (Count) Step 5 : No. of Crack defects No. of Colour defects No. of Shape defects No. of Taste Defects Summarize the findings from the samples of all the participants. Calculate Defects Per Million Opportunities (DPMO) & Sigma Value Total Samples 𝐷𝑃𝑀𝑂 = Total Defects No. of Opportunities 𝑁𝑜. 𝑜𝑓 𝑑𝑒𝑓𝑒𝑐𝑡𝑠 × 106 (𝑁𝑜. 𝑜𝑓 𝑈𝑛𝑖𝑡𝑠) × (𝑁𝑜. 𝑜𝑓 𝑜𝑝𝑝𝑜𝑟𝑡𝑢𝑛𝑖𝑡𝑖𝑒𝑠) DPMO = Sigma Value = Intelligence Quality (IQ) www.iq6sigma.com Page |6 Lean Six Sigma Green Belt Online Workbook Sigma Conversion Table Intelligence Quality (IQ) www.iq6sigma.com Page |7 Lean Six Sigma Green Belt Online Workbook Kano Model Exercise Let’s create a Kano Model for: ____________________________________ Identify the Must be, More is Better and WOW factors Must be (Expected Attributes) More is better (Performance Attributes) WOW (Exciting Attributes) Intelligence Quality (IQ) www.iq6sigma.com Page |8 Lean Six Sigma Green Belt Online Workbook VOC / VOB to CTQ Exercise Identify the CTQ for the VOC / VOB given in the table below. S.No. VOC / VOB CTQs 1 “I want the pizza delivered hot” 2 “It takes too long to get the complaint resolved” 3 “You shipped the product to the wrong address” 4 "We aren’t able to process transactions within the time promised to the customer" 5 "Loan application forms submitted by loan officers have too many errors" 6 "I had to wait for so long to get an operator to answer my query" 7 "We haven’t improved our market share" 8 "Last year, we spent a lot of money to fix products in warranty" 9 "Time taken to vaccinate the employees is more than expected" 10 "Significant number of parts has been rejected in the Final inspection" Intelligence Quality (IQ) www.iq6sigma.com Page |9 Lean Six Sigma Green Belt Online Workbook Project Charter Template Project Title Business Case Problem Statement Goal Statement Project Scope Project Team Project Sponsor Project Lead Team Members Project Schedule Key Milestones Start Date End Date Project Benefits Intelligence Quality (IQ) www.iq6sigma.com P a g e | 10 Lean Six Sigma Green Belt Online Workbook SIPOC Template Project Title: Process: SUPPLIERS Who are the suppliers of INPUT Key inputs required for the PROCESS Show the high level process steps OUTPUT Key outputs from the CUSTOMER Customers who receive the Step 1 Step 2 Step 3 Step 4 Step 5 Step 6 Step 7 Step 8 Intelligence Quality (IQ) www.iq6sigma.com P a g e | 11 Lean Six Sigma Green Belt Online Workbook Type of Data (Continuous / Discrete) Identify the type of data for below metrics S.No Metrics 1 Diameter of Piston 2 No. of units of Product B sold in a Year 3 No. of Tubes rejected by Go- Nogo Gauge 4 5 6 Type of Data Out of 100 sheets the numbers that meet the thickness ( 4 0.9 ) Time taken to process a purchase order 37.81% of your customers are between the ages of 66 and 70 7 The rejection rate for this process in 10% 8 Population of Bangalore City 9 Life expectancy 10 Runs scored by Virat Kohli Intelligence Quality (IQ) www.iq6sigma.com P a g e | 12 Lean Six Sigma Green Belt Online Workbook Data Collection Exercise Objective: Measure how long a person can hold the breath Measure: Breath Retention Time Type of Data: Continuous Data Frequency: Every Batch Sampling: 3 Samples from each person Instrument: Default Stopwatch App in the Mobile Stratification Factors: Age, Weight, Work Experience, City, State Data Collection Tool: Google Forms and Sheet Operational Definition: Breath In – Hold as far you can – Breath Out Measure the time you hold your breath Use the stopwatch in your mobile phone to measure the time Intelligence Quality (IQ) www.iq6sigma.com P a g e | 13 Lean Six Sigma Green Belt Online Workbook Types of Variation Exercise Let’s do a small exercise to understand variation Step 1 : Take a piece of paper Step 2 : Write letter “a” with your dominant hand five times Step 3 : Write letter “a” with your other hand three times Step 4 : Write letter “a” with your dominant hand five times Intelligence Quality (IQ) www.iq6sigma.com P a g e | 14 Lean Six Sigma Green Belt Online Workbook Xbar – R Control Chart Exercise The Practical Box Company makes corrugated boxes. As with any process, there is variation in the strength of each box produced. Box strength is measured by assessing stiffness. Stiffness is vital, low stiffness causes the boxes to collapse, while high stiffness increases production cost. Stiffness level data has been collected and entered onto the control chart overleaf. A sample of 5 boxes has been assessed each hour of production. Use this data and the steps in the tool book to construct and average and range chart. Step 1 Read and understand the data given in the control chart overleaf Step 2 Calculate the Mean (Xbar) and Range (R) of the observations for each subgroup. Complete this step on the control chart overleaf Step 3a Calculate the Grand Average – Centre Line for Xbar Chart 𝑋̿ = ∑𝑋̅ = 𝑘 No. of Subgroups (k) = 25 Step 3b Calculate the Average Range - Centre Line for R Chart 𝑅̅ = Step 4a ∑𝑅 = 𝑘 Calculate the Control Limits for the Xbar chart 𝑈𝐶𝐿𝑋̅ = 𝑋̿ + (𝐴2 × 𝑅̅ ) = 𝐿𝐶𝐿𝑋̅ = 𝑋̿ − (𝐴2 × 𝑅̅ ) = Step 4b Calculate the control limits for the R chart 𝑈𝐶𝐿𝑅 = 𝐷4 × 𝑅̅ = 𝐿𝐶𝐿𝑅 = 𝐷3 × 𝑅̅ = Weighting Factors Subgroup / Sample Size (n) A2 5 Intelligence Quality (IQ) 0.577 www.iq6sigma.com D3 D4 0 2.114 P a g e | 15 Lean Six Sigma Green Belt Online Workbook ̅ − 𝑹 𝑪𝑯𝑨𝑹𝑻 𝑿 Name: Product / Service Date Time Corrugated Boxes Batch: Process Box Assembly Specification Limits 05-Jan 06-Jan Sample Measurements 07:00 08:00 09:00 10:00 11:00 12:00 13:00 14:00 15:00 16:00 17:00 18:00 19:00 20:00 21:00 22:00 23:00 00:00 01:00 02:00 03:00 04:00 05:00 06:00 07:00 1 2 3 4 5 35 37 41 36 40 40 39 42 38 43 47 41 39 40 41 40 36 37 39 36 43 44 42 40 39 38 39 41 40 37 42 36 40 41 38 43 44 43 39 41 36 38 35 39 37 36 41 40 42 39 42 41 40 38 37 37 38 40 40 37 44 41 40 39 40 39 38 35 36 40 42 43 45 40 39 35 38 37 39 41 35 36 39 38 37 43 42 43 43 39 43 39 41 42 44 39 37 36 35 36 43 40 41 40 39 35 39 36 41 38 41 38 37 37 40 34 39 40 36 37 43 39 41 42 40 21 22 23 24 25 Mean (Xbar) 37.8 40.4 41.6 37.6 41.6 39.0 39.4 42.0 37.0 39.6 39.6 38.4 40.8 37.6 41.8 38.0 37.0 42.0 41.8 36.6 Range ( R ) 6 5 8 4 ̿= 𝑿 1 5 4 6 5 4 𝑼𝑪𝑳 = 2 3 4 5 6 6 5 3 5 5 6 6 4 4 5 4 18 19 20 𝑳𝑪𝑳 = 7 8 9 10 11 12 13 14 15 16 17 Xbar Chart 45 42.5 40 37.5 35 R Chart ̅= 𝑹 𝑼𝑪𝑳 = 𝑳𝑪𝑳 = 10 5 0 Intelligence Quality (IQ) www.iq6sigma.com P a g e | 16 Lean Six Sigma Green Belt Online Workbook Table of Control Chart Constants Control chart constants for X-bar, R, S, Individuals (called "X" or "I" charts), and MR (Moving Range) Charts. Subgroup / Sample Size = n A2 A3 d2 D3 D4 B3 B4 E2 2 1.880 2.659 1.128 0 3.267 0 3.267 2.66 3 1.023 1.954 1.693 0 2.574 0 2.568 1.772 4 0.729 1.628 2.059 0 2.282 0 2.266 1.457 5 0.577 1.427 2.326 0 2.114 0 2.089 1.29 6 0.483 1.287 2.534 0 2.004 0.030 1.970 1.184 7 0.419 1.182 2.704 0.076 1.924 0.118 1.882 1.109 8 0.373 1.099 2.847 0.136 1.864 0.185 1.815 1.054 9 0.337 1.032 2.970 0.184 1.816 0.239 1.761 1.01 10 0.308 0.975 3.078 0.223 1.777 0.284 1.716 0.975 11 0.285 0.927 3.173 0.256 1.744 0.321 1.679 12 0.266 0.886 3.258 0.283 1.717 0.354 1.646 13 0.249 0.850 3.336 0.307 1.693 0.382 1.618 14 0.235 0.817 3.407 0.328 1.672 0.406 1.594 15 0.223 0.789 3.472 0.347 1.653 0.428 1.572 16 0.212 0.763 3.532 0.363 1.637 0.448 1.552 17 0.203 0.739 3.588 0.378 1.622 0.466 1.534 18 0.194 0.718 3.640 0.391 1.608 0.482 1.518 19 0.187 0.698 3.689 0.403 1.597 0.497 1.503 20 0.180 0.680 3.735 0.415 1.585 0.510 1.490 21 0.173 0.663 3.778 0.425 1.575 0.523 1.477 22 0.167 0.647 3.819 0.434 1.566 0.534 1.466 23 0.162 0.633 3.858 0.443 1.557 0.545 1.455 24 0.157 0.619 3.895 0.451 1.548 0.555 1.445 25 0.153 0.606 3.931 0.459 1.541 0.565 1.435 Intelligence Quality (IQ) www.iq6sigma.com P a g e | 17 Lean Six Sigma Green Belt Online Workbook Types of Control Chart Type of Data Count or Classification (Attribute Data) Measurement (Variable Data) Count Classification Defects Defectives Subgroup Size of 1 I-MR Fixed Sample Size Variable Sample Size Fixed Sample Size Variable Sample Size C Chart U Chart NP Chart P Chart Intelligence Quality (IQ) www.iq6sigma.com Subgroup Size < 8 - 10 Subgroup Size > 8 - 10 X-bar & R X-bar & S P a g e | 18 Lean Six Sigma Green Belt Online Workbook Process Capability Exercise Now that you have completed both an average and range chart and a histogram for ‘stiffness’ for the Practical Box company, it is necessary to assess the process against specifications. The control chart showed a reasonably stable process and the histogram showed a normal distribution. Your task is to calculate percent out of spec, Cp and Cpk and to describe how well the process is performing. The relevant information from the control chart and the specification limits are listed below. Use this information and the steps in the tool book to complete the capability analysis for this process. Subgroup size (n) = 5 (from control chart) Grand average (𝑋̿) = 39.39 (from control chart) Average Range (𝑅̅ ) = 4.96 (from control chart) Upper specification limit (USL) = 42 Lower specification limit (LSL) = 30 39.39 Step 1 Calculate estimated standard deviation 𝜎̂ = Step 2 𝑅̅ = 𝑑2 n d2 4 2.059 5 2.326 6 2.534 Determine the location of the tails for the Process Range. 𝐿𝑒𝑓𝑡 𝑡𝑎𝑖𝑙 = 𝑋̿ − 3𝜎̂ = 𝑅𝑖𝑔ℎ𝑡 𝑡𝑎𝑖𝑙 = 𝑋̿ + 3𝜎̂ = Step 3 Draw the Specification Limits and Process Range onto the Normal Distribution diagram above. Step 4 Calculate and interpret the capability indices. Complete each of the calculations and explain what each result tells about the process 𝐶𝑝 = USL − LSL = 6𝜎̂ 𝐶𝑝𝑢 = USL − 𝑋̿ = 3𝜎̂ 𝐶𝑝𝑙 = 𝑋̿ − 𝐿𝑆𝐿 = 3𝜎̂ 𝐶𝑝𝑘 = min( 𝐶𝑝𝑢 , 𝐶𝑝𝑙 ) = Intelligence Quality (IQ) www.iq6sigma.com P a g e | 19 Lean Six Sigma Green Belt Online Workbook Step 5 Calculate how much data is outside the specification. 𝑍𝑢𝑝𝑝𝑒𝑟 = USL − 𝑋̿ = 𝜎̂ 𝑍𝑙𝑜𝑤𝑒𝑟 = 𝑋̿ − 𝐿𝑆𝐿 = 𝜎̂ Look up the % out of specification in the standard normal distribution table given in the next page. Total % out of spec = % above + % below = Intelligence Quality (IQ) www.iq6sigma.com P a g e | 20 Lean Six Sigma Green Belt Online Workbook STATISTICAL TABLE: AREAS IN THE TAIL OF THE STANDARD NORMAL DISTRIBUTION Table entry for z is the area under the Standard Normal curve to the right of z z 0.00 0.01 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 0.5000 0.4602 0.4207 0.3821 0.3446 0.3085 0.2743 0.2420 0.2119 0.1841 0.1587 0.1357 0.1151 0.0968 0.0808 0.0668 0.0548 0.0446 0.0359 0.0287 0.0228 0.0179 0.0139 0.0107 0.0082 0.0062 0.0047 0.0035 0.0026 0.0019 0.0013 0.4960 0.4562 0.4168 0.3783 0.3409 0.3050 0.2709 0.2389 0.2090 0.1814 0.1562 0.1335 0.1131 0.0951 0.0793 0.0655 0.0537 0.0436 0.0351 0.0281 0.0222 0.0174 0.0136 0.0104 0.0080 0.0060 0.0045 0.0034 0.0025 0.0018 0.0013 0.00097 0.00069 0.02 0.03 0.04 0.05 0.4920 0.4522 0.4129 0.3745 0.3372 0.3015 0.2676 0.2358 0.2061 0.1788 0.1539 0.1314 0.1112 0.0934 0.0778 0.0643 0.0526 0.0427 0.0344 0.0274 0.0217 0.0170 0.0132 0.0102 0.0078 0.0059 0.0044 0.0033 0.0024 0.0018 0.0013 0.4880 0.4483 0.4090 0.3707 0.3336 0.2981 0.2643 0.2327 0.2033 0.1762 0.1515 0.1292 0.1093 0.0918 0.0764 0.0630 0.0516 0.0418 0.0336 0.0268 0.0212 0.0166 0.0129 0.0099 0.0075 0.0057 0.0043 0.0032 0.0023 0.0017 0.0012 0.4840 0.4443 0.4052 0.3669 0.3300 0.2946 0.2611 0.2296 0.2005 0.1736 0.1492 0.1271 0.1075 0.0901 0.0749 0.0618 0.0505 0.0409 0.0329 0.0262 0.0207 0.0162 0.0125 0.0096 0.0073 0.0055 0.0041 0.0031 0.0023 0.0016 0.0012 0.4801 0.4404 0.4013 0.3632 0.3264 0.2912 0.2578 0.2266 0.1977 0.1711 0.1469 0.1251 0.1056 0.0885 0.0735 0.0606 0.0495 0.0401 0.0322 0.0256 0.0202 0.0158 0.0122 0.0094 0.0071 0.0054 0.0040 0.0030 0.0022 0.0016 0.0011 0.00094 0.00090 0.00087 0.00085 0.00066 0.00064 0.00062 0.00060 0.00048 0.00047 0.00045 0.00043 0.00034 0.00033 0.00031 0.00023 0.00022 0.00016 0.06 0.07 0.08 0.09 0.4761 0.4364 0.3974 0.3594 0.3228 0.2877 0.2546 0.2236 0.1949 0.1685 0.1446 0.1230 0.1038 0.0869 0.0721 0.0594 0.0485 0.0392 0.0314 0.0250 0.0197 0.0154 0.0119 0.0091 0.0069 0.0052 0.0039 0.0029 0.0021 0.0015 0.0011 0.4721 0.4325 0.3936 0.3557 0.3192 0.2843 0.2514 0.2206 0.1922 0.1660 0.1423 0.1210 0.1020 0.0853 0.0708 0.0582 0.0475 0.0384 0.0307 0.0244 0.0192 0.0150 0.0116 0.0089 0.0068 0.0051 0.0038 0.0028 0.0021 0.0015 0.0011 0.4681 0.4286 0.3897 0.3520 0.3156 0.2810 0.2483 0.2177 0.1894 0.1635 0.1401 0.1190 0.1003 0.0838 0.0694 0.0571 0.0465 0.0375 0.0301 0.0239 0.0188 0.0146 0.0113 0.0087 0.0066 0.0049 0.0037 0.0027 0.0020 0.0014 0.0010 0.4641 0.4247 0.3859 0.3483 0.3121 0.2776 0.2451 0.2148 0.1867 0.1611 0.1379 0.1170 0.0985 0.0823 0.0681 0.0559 0.0455 0.0367 0.0294 0.0233 0.0183 0.0143 0.0110 0.0084 0.0064 0.0048 0.0036 0.0026 0.0019 0.0014 0.0010 0.00082 0.00079 0.00076 0.00074 0.00071 0.00058 0.00056 0.00054 0.00052 0.00050 0.00042 0.00040 0.00039 0.00038 0.00036 0.00035 0.00030 0.00029 0.00028 0.00027 0.00026 0.00025 0.00024 0.00022 0.00021 0.00020 0.00019 0.00019 0.00018 0.00017 0.00017 0.00015 0.00015 0.00014 0.00014 0.00013 0.00013 0.00012 0.00012 0.00011 0.00010 0.00010 0.00010 0.00009 0.00009 0.00009 0.00008 0.00007 0.00007 0.00007 0.00006 0.00006 0.00006 0.00006 0.00005 0.00005 0.00004 0.00004 0.00004 0.00004 0.00003 0.00003 0.00003 0.00003 0.00003 0.00002 0.00002 0.00002 0.00002 0.00001 0.00001 0.00001 0.00001 0.00001 0.00001 0.00000 0.00000 0.00000 0.00000 0.00000 Intelligence Quality (IQ) www.iq6sigma.com P a g e | 21 Lean Six Sigma Green Belt Online Workbook Measurement System Analysis (MSA) Study Type Data type Continuous data Non Destructive Gage R&R Study (Crossed) Attribute data Destructive Attribute Agreement Analysis Gage R&R Study (Nested) Sources of Process Variation Intelligence Quality (IQ) www.iq6sigma.com P a g e | 22 Lean Six Sigma Green Belt Online Workbook Gage R&R Worksheet Intelligence Quality (IQ) www.iq6sigma.com P a g e | 23 Lean Six Sigma Green Belt Online Workbook Intelligence Quality (IQ) www.iq6sigma.com P a g e | 24 Lean Six Sigma Green Belt Online Workbook Gage R & R Decision Criteria According to AIAG guidelines, if your measurement system's variation is less than 10% of process's variation, then it is acceptable. To evaluate your process variation, compare the Total Gage R&R contribution in the %StudyVar (%SV) column in your output with the values in the table. %StudyVar (%SV) Less than 10% Acceptability The measurement system is acceptable. The measurement system is acceptable depending on the Between 10% and 30% application, the cost of the measurement device, cost of repair, or other factors. Greater than 30% The measurement system is not acceptable and should be improved. Attribute Agreement Analysis Decision Criteria Use kappa statistics to assess the degree of agreement. Kappa values range from –1 to +1. The higher the value of kappa, the stronger the agreement, as follows: When Kappa = 1, perfect agreement exists. When Kappa = 0, agreement is the same as would be expected by chance. When Kappa < 0, agreement is weaker than expected by chance; this rarely occurs. The AIAG suggests that a kappa value of at least 0.75 indicates good agreement. However, larger kappa values, such as 0.90, are preferred. Intelligence Quality (IQ) www.iq6sigma.com P a g e | 25 Lean Six Sigma Green Belt Online Workbook Cause & Effect Diagram Template Intelligence Quality (IQ) www.iq6sigma.com P a g e | 26 Lean Six Sigma Green Belt Online Workbook FMEA Template S.No. Process Step Function Potential Failure Mode Potential Effect S of Failure on E Customer V Potential Causes O Current Process Current Process D C Controls Controls E C (Prevention) (Detection) T R P N Actions Resp.& Target Recommended Date S O D Futur Actions Taken E C E e V C T RPN 1 2 3 4 5 Intelligence Quality (IQ) www.iq6sigma.com P a g e | 27 Lean Six Sigma Green Belt Online Workbook Decision Making There are two agents Rohit & Mohit, working with problem resolution process. The data shows the times they take to resolve problems. Their performance is to be judged and one of them is to be promoted. Data given 12 transactions. Give your judgment. Intelligence Quality (IQ) Rohit Mohit 43 39 23 33 43 42 35 28 33 36 43 34 38 39 39 43 35 34 23 20 39 34 34 35 Avg. of Rohit Avg. of Mohit 35.7 34.7 www.iq6sigma.com P a g e | 28 Lean Six Sigma Green Belt Online Workbook Formulating the Null Hypothesis and the Alternative Hypothesis Statements (H0 and H1) Question Hypothesis Statements A machine produces a particular component to a H0 : specified mean diameter of 5 mm. Some not very specific complaints are received from Service that the components are not to H1 : specification. So you decide to check whether the process setting has changed significantly. H0 : It is claimed that the battery life manufactured by H1 : Company A exceeds 40 hours. H0 : Supplier Quality Assurance want to determine the quality of plastic gear manufactured by Supplier 2 is better than Supplier 1. H1 : H0 : It is claimed that the yield of improved Process B is greater than old Process A by bringing a change in an important factor X. H1 : Number of defectives observed in a process on H0 : one of the days is 54 out of 1000 items inspected. Can we statistically conclude that % of defectives H1 : is greater than 5%. A marketing analyst wants to determine whether H0 : mailed advertisements for a new product result in a response rate different from the national H1 : average of 8%. Intelligence Quality (IQ) www.iq6sigma.com P a g e | 29 Lean Six Sigma Green Belt Online Workbook Hypothesis Testing using Minitab The procedure for hypothesis testing is usually similar, irrespective of the test being carried out. Using the following sequence will generally lead to a satisfactory outcome. S.No. Action Result 1 Define the objective 2 Check whether the Data is normally distributed 3 Identify the appropriate test 4 Formulate the Null hypothesis and the Alternative hypothesis (H0 and H1) 5 Is the test one-tailed or two-tailed? 6 Decide on the level of significance α 7 Obtain a sample (or samples) of data. 8 Perform the test in Minitab and Check p value 9 Decide whether to accept or reject H0 10 Draw a conclusion Intelligence Quality (IQ) www.iq6sigma.com P a g e | 30 Lean Six Sigma Green Belt Online Workbook Scatter Plot Decision Criteria Correlation Coefficient Decision Criteria Intelligence Quality (IQ) www.iq6sigma.com P a g e | 31 Lean Six Sigma Green Belt Online Workbook Multivoting Exercise Procedure for conducting Multivoting Technique: 1) Combine Duplicate items in the list 2) Number (or letter) all items. 3) Decide how many items must be on the final list. 4) Decide how many choices each member will vote for. 5) Each member selects whatever is he or she thinks is most important. 6) Tally the votes. 7) Repeat if required. Multivoting Example Project Team conducted meetings which were not always as productive as they might have been. So team leader called a meeting to identify the reasons for the lack of meeting productivity and to determine which reasons the team thought most important. The team leader a Brainstorming session which produced the following list. Now they need to narrows down the list using Multivoting. a) No Clear Agenda b) No Clear Objectives and Directions c) Vital members missing from meeting d) Participants arrive unprepared for the meeting e) Interrupted by visitors f) Interrupted by phone calls g) Failing to reach a conclusion h) People “work” on other tasks during the meeting i) Start late and run overtime j) Off-topic conversations k) Not having action points and a roadmap for follow-up l) No minutes are taken at the meeting m) No participation by the attendees n) Discussions are dominated by a few talkers o) Wrong attendees are invited p) Scheduled at the last minute Intelligence Quality (IQ) www.iq6sigma.com P a g e | 32 Lean Six Sigma Green Belt Online Workbook Value Added & Non Value Added (Waste) Activity Exercise Identify the VA & NVA steps for the manual assembly operation on a Truck chassis assembly line. S.No. Steps 1 Delivering components to the assembly line 2 Walking 25 feet to pick up the component 3 Removing cardboard to expose the components 4 Orienting the component so it can be picked up 5 Picking up bolts for the component 6 Walking 25 feet back to the chassis on the assembly line 7 Positioning the component on the chassis 8 Walking to the power tool 9 Reaching for the power tool 10 Walking and pulling the power tool to the component on the chassis 11 Pulling the power tool down onto the chassis 12 Placing the bolts in the component 13 Tightening the bolts to the chassis with the power tool 14 Walking 25 feet to pick up the component Intelligence Quality (IQ) www.iq6sigma.com VA / NVA P a g e | 33 Lean Six Sigma Green Belt Online Workbook Takt Time Calculation Takt time is defined as the amount of time available to produce one unit. Customer Demand: 600 pcs per month Working Days: 20 Available Production Time: 2 Shift operation, 16 Hrs/day Takt Time = Intelligence Quality (IQ) www.iq6sigma.com P a g e | 34 INTELLIGENCE QUALITY 91500 07164 Level 9, Olympia Teknos Park No 28, SIDCO Industrial Estate, Guindy, Chennai, Tamil Nadu 600032 info@iq6sigma.com PLEASE FOLLOW US