Process Capability (Six Sigma)

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timer Asked: Jul 23rd, 2014

Question Description

Six Sigma.xlsx Need help on the following assignment. The data on the control chart was confirmed correct and that data is utilized in the Process Capability Assignment. My calculations have been off and need 100% complete solution and answers to the Process Capability Assignment

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Objective: Your Black Belts developed the following data and created this control chart for sandwich preparation times. They say that the process is stable and shows that the average prep time is 1.7512 minutes and that individual prep times will not exceed 1.9205 minutes. They also say that it's very good because it shows very little variation. Instructions for you: Part I Do you agree with their interpretation? (see chart below) HINT: Use the 11 Shewhart Rules for Stability as the basis for your decision. Data: I-MR Chart for Current Sandwich Prep Times +3S L=1.9205 Individual Value 1.9 +2S L=1.8640 1.8 +1S L=1.8076 _ X=1.7512 1.7 -1S L=1.6947 -2S L=1.6383 1.6 -3S L=1.5818 1 3 5 7 9 11 O bser vation 13 15 17 19 +3S L=0.2080 M oving Range 0.20 +2S L=0.1599 0.15 +1S L=0.1118 0.10 __ M R=0.0637 0.05 -1S L=0.0156 -3S L=0 -2S 0.00 1 3 5 7 9 11 O bser vation 13 15 17 19 Current Sandwich Prep Times (in minutes) 1.6434 1.8623 1.7611 1.7049 1.7888 1.7469 1.8223 1.7793 1.7122 1.7562 1.6798 1.7013 1.7750 1.7400 1.8122 1.7778 1.7233 1.7410 1.7143 1.7807 Part II You and your team work to eliminate all known assignable causes from this process. You think you have accomplished this and collect the following data on the new process. Calculate the control chart center line and control limit values for an I-MR chart and use the 11 Shewhart Rules for Stability to determine if this process is now stable. Revised Process Prep Times (in minutes) 1.5364 1.5892 1.4823 1.5610 1.5468 1.5021 1.5065 1.5002 1.5501 1.5423 1.4322 1.5732 1.5923 1.5567 1.5022 1.5345 1.4822 1.4922 1.6004 1.5178 AboveWay Sandwich, Inc. Customer Satisfaction Improvement Deliverable: Control Chart Student last name: If "NO", please identify BY NAME which of the 11 Shewhart Tests for Stability EACH chart fails. I CHART: Natural Pattern (stratefied) Only 25% outside of 1 SD Band Repeating pattern up, 4 down, 4 up) (4 MR CHART: Outlier: Moving range has one point out of Upper Control Limit Fails Natural Pattern Test (stratefied): Less than INDIVIDUALS CHART: What did you get for a center line? 1.5300 What did you get for an upper control limit? 1.6716 What did you get for a lower control limit? 1.3885 MOVING RANGE CHART: What did you get for a center line? 0.0532 What did you get for an upper control limit? 0.1739 What did you get for a lower control limit? 0.0000 I CHART: Natural Pattern (Borderline Stratified) Only 30% outside of 1 SD Band If "NO", please identify BY NAME which of the 11 Shewhart Tests for Stability EACH chart fails. MR CHART: Natural Pattern 55% inside 1 SD Band Only 19 Objective: Determine process capability Instructions for you: The company's goal is that every sandwich can be completed in less than 1.5 minutes. Based on the data from the revised process control chart study, evaluate our shop's ability to meet this goal using the following Evaluate our shop's ability to meet this goal using the following cabability measures. Cp Cpk Pp Ppk z score Sigma Level % of sandwiches made within the 1.5 minute goal PPM beyond the 1.5 minute goal Data: See the revised data from the control chart tab. AboveWay Sandwich, Inc. Customer Satisfaction Improvement Deliverable: Process Capability Student last name: Your last name here What did you get for Cp? Type here Self check What did you get for Cpk? Type here (use 2 decimal places) Self check What, specifically, does this particular Cpk tell you about the process that other Cpk's may not? Type here (use at most 25 words) What did you get for Pp? Type here Self check What did you get for Ppk? Type here (use 2 decimal places) Self check What did you get for Z-score? Type here (use 2 decimal places) What does this Z-score mean? HINT: Use the z score you calculated in a sentence that explains what it tells you about this process. Type here (use at most 25 words) Using the z score calculated above and a z table, estimate the % of sandwiches that will be made within the 1.5 minute goal. PPM (aka DPMO) beyond the 1.5 minute goal Self check Type here (use 2 decimal places) Self check Type here Self check
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