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Master of Business Administration – MBA Semester 3
QM0012 – Statistical Process Control & Process Capability
(4 credits)
(Book ID: B1242)
ASSIGNMENT- Set 1
Marks 60
Note: Each main Question carries 10 marks. Answer all the questions.
Q 1. Mention the seven basic Quality control tools. Describe briefly the Cause and Effect
Diagram.
Answer : The Seven Basic QC (Quality Control) Tools are a given set of graphical techniques identified as being helpful in troubleshooting issues related to quality[1]. These seven are called basic because they can be used easily by anyone to solve the vast majority of quality-related issues. Many quality professional believe these were originated by Dr. Ishikawa, a world renowned quality professional. But, he would tell you that he was inspired
Q2. Explain the following with examples:
a. Pareto chart
Answer : Also called: Pareto diagram, Pareto analysis
Variations: weighted Pareto chart,
Q3. (a) What are the causes of variation in a process?
Answer : Accuracy means getting a result that is close to the real answer. Precision means getting similar result every time you try. Think
(b) Differentiate between ‘accuracy’ and ‘precision’?
Answer : Accuracy is defined as, “The ability of a measurement to match the actual value of the quantity being measured”. If in reality it is 34.0 F outside and a temperature sensor reads 34.0 F, then than sensor is accurate.
Precision is defined as, “(1) The ability of a measurement to be consistently reproduced” and “(2) The number of significant digits to which a value has been reliably measured”. If on several tests the temperature sensor matches the
4. What is Normal distribution? What are the properties of Normal distribution?
Answer : : The Normal Distribution(Bell Curve)In many natural processes, random variation conforms to a particular probability distribution known as the normal distribution, which is the most commonly observed probability
Q5. What is a Control chart? Describe the structure and construction of control chart.
Answer : Introduction
In this section, you will learn about constructing Time-between charts and interpreting the findings. We focus on constructing a control chart for your diet and exercise patterns, though other applications are also possible and you will see examples of application of control charts to family drug court data or asthma care at end of this section. An important application of Time-between charts is time to dissatisfied customer,
Q 6. Using data relating to 5 samples of 4 items each, calculate the control limits. Use X-bar & R
chart.
Samples X1 X2 X3 X4 X5
Items 1 47 32 44 35 20 2 19 37 31 25 34 3 29 11 16 11 444 28 29 42 59 38
Master of Business Administration – MBA Semester 3
QM0012 – Statistical Process Control & Process Capability
(4 credits)
(Book ID: B1242)
ASSIGNMENT- Set 2
Marks 60
Note: Each main Question carries 10 marks. Answer all the questions.
Q 1. Describe briefly the Cause and Effect Diagram with example.
Answer : When you have a serious problem, it’s important to explore all of the things that could cause it, before you start to think about a solution.
That way you can solve the problem completely, first time round, rather than just addressing part of it and having the problem run on and on
2. (a) What is the meaning of a ‘process’? Explain with an example.
(b) Write a brief note on SIPOC.
Answer : A SIPOC diagram is a type of process map typically used in Lean Six Sigma projects to identify the primary elements of a process. It provides a macro view that brings together Suppliers, Inputs, Process, Outputs, and Customers. This article provides a simple and effective method for building a SIPOC with your team.
- Preparation. Gather all of your supplies and make sure you have ample space for the team to work. Hang your paper on the wall
Q3. Differentiate between process capability and process stability. Mention some of the major
uses of process capability analysis.
Answer : Nothing and everything. Though they are not directly linked, statistician and SPC expert Steven Watches cautions that without evidence of process stability, capability data is useless.
Process Stability and Process Capability are both extremely important aspects of any manufacturing process. Often the concepts
Q4. What is meant by acceptance sampling? Explain the various quality indices for acceptance
sampling plan.
Answer : Advantages of sampling
1. The items which are subjected to destructive test must be inspected by sampling inspection only.2. The cost and time required for sampling inspection is quite less as compared to 100%inspection.3. Problem of inspection fatigue which occurs in 100% inspection is eliminated.4. Smaller inspection staff is necessary.
5. (a) Define process capability index.
Answer :In the Six Sigma quality methodology, process performance is reported to the organization as a sigma level. The higher the sigma level, the better the process is performing.
Another way to report process capability and process performance is through the statistical measurements of Cp, Cap, Pp, and Pap. This article will present definitions, interpretations and calculations for Cap and Pap though
(b) Differentiate between Cp and Cpk index.
Answer : Differences Between Cap and Pap
“Cap is for short term, Pap is for long term.” Sun deep Singh
“Pap produces an index number (like 1.33) for the process variation. Cap references the variation to your specification limits. If you just want to know how much variation the process exhibits, a Pap measurement is fine. If you
6. The following numbers indicates the number of defectives in 20 samples containing 2000
items:
356, 402, 216, 264, 425, 430, 216, 341, 225, 322, 280, 306, 337, 305, 126, 409, 280, 389,
326, 193
Calculate the values for central line and control limits for P chart and construct the control
chart.
Answer :
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