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DRIVE
|
FALL 2014
|
PROGRAM
|
MBADS – (SEM 3/SEM 5) / MBAN2 /
MBAFLEX – (SEM 3) PGDTQMN – (SEM 1)
|
SUBJECT CODE &
NAME
|
QM0012- STATISTICAL PROCESS CONTROL
AND PROCESS CAPABILITY
|
SEMESTER
|
3
|
CREDIT
|
4
|
MARKS
|
60
|
Note: Answer all questions. Kindly note that answers for 10 marks
questions should be approximately of 400 words. Each question is followed by
evaluation scheme.
Q.1 Explain the concept of Cause and Effect
Diagram, Check Sheet and Scatter Diagram.
Answer:It is One of the
seven tools of quality, it shows the relationship of all factors (causes) that
lead to the given situation (effect). It identifies major causes and breaks
them down into sub-causes and further sub-divisions (if any). It is usually
preceded by cause-and-effect analysis. Also called fishbone diagram (because of
its resemblance to a fish skeleton) or Ishikawa diagram, after its inventor Dr.
Kaoru Ishikawa (1915-89) of Tokyo's Mushasi Institute.
Dr. Kaoru Ishikawa, a Japanese quality control
expert, is credited with inventing the fishbone diagram to help employees avoid
solutions that merely
Q.2 Describe Deming’s Funnel experiment and
Red Bead Experiment.
Answer:Deming’s Funnel experiment:The
Funnel Experiment was devised by Dr. Deming to describe the adverse effects of
tampering with a process by making changes to it without first making a careful
study of the possible causes of the variation in that process.
In the experiment, a marble is dropped through a
funnel onto a sheet of paper, which contains a target. The objective of the
process is to get the marble to come to a stop as close to the target as
possible. The experiment uses several methods to attempt to manipulate the
funnel’s location to achieve the objective.
The learning or “rules” of the experiment can be
Q.3 Write short notes on
a) Binomial Distribution
b) Normal Distribution
Answer:a) Binomial Distribution: When you
flip a coin, there are two possible outcomes: heads and tails. Each outcome has
a fixed probability, the same from trial to trial. In the case of coins, heads
and tails each have the same probability of 1/2. More generally, there are
situations in which the coin is biased, so that heads and tails have different
probabilities. In the present section, we consider probability distributions
for which there are just two possible outcomes with fixed probabilities summing
to one. These distributions are called binomial distributions.
A Simple Example:
The four possible outcomes that could occur if you
flipped a
b) Normal Distribution: The
normal distribution is defined by the following equation:
Normal equation. The value of the random
variable Y is:
Y = { 1/[ σ * sqrt(2π) ] } * e-(x - μ)2/2σ2
where X is a normal random variable, μ is the
mean, σ is the standard deviation, π is approximately 3.14159, and e is
approximately 2.71828.
The random variable X in the normal equation is
called the normal random variable. The normal equation is the probability
density function for the normal distribution.
Normal distributions have many convenient
Q.4.What is analysis of variance? Explain the
procedure for carrying out Two way analysis of Variance with an example.
Answer:A statistical
analysis tool that separates the total variability found within a data set into
two components: random and systematic factors. The random factors do not have
any statistical influence on the given data set, while the systematic factors
do. The ANOVA test is used to determine the impact independent variables have
on the dependent variable in a regression analysis. The ANOVA test is the
initial step in identifying factors that are influencing a given data set.
After the ANOVA test is performed, the analyst is able to perform further
analysis
Q.5 Discuss the types of control charts.
Explain with an example how to calculate p Chart and np Chart.
ANS: Types of control charts:
The Control Chart Builder (CCB) enables
you to create several types of control charts (Shewhart Variables, Shewhart
Attribute, and Rare Event). To create a chart, you do not need to know the name
or structure of a particular chart beforehand. Select the variables (or
columns) that you want to chart, and then drag and drop them into zones. When
you drag a data column to the workspace, Control Chart Builder creates an
appropriate chart based on the data type and sample size. Once the basic chart
is created, you can use the menus and other options to change the type, the
statistic, and the format of the chart.
·
XBar-, R-, and S- Charts:For
quality characteristics measured on a continuous scale, a typical analysis
shows both the process mean and its
Q6. Explain the concept of Process
Capability. Distinguish between Process Stability and Capability. Mention the
major uses of Process Capability.
(Explanation – 4 marks, Differences – 3 marks,
Uses – 3)
Answer : Process capability :
A process is a unique combination of
tools, materials, methods, and people engaged in producing a measurable output;
for example a manufacturing line for machine parts. All processes have inherent
statistical variability which can be evaluated by statistical methods. The
Process Capability is a measurable property of a process to the specification,
expressed as a process capability index (e.g., Cpk or Cpm)
or as a process performance index (e.g., Ppk or Ppm). The
output of this measurement is usually illustrated by a histogram and calculations
that predict
Dear
students get fully solved assignments
Send
your semester & Specialization name to our mail id :
“
help.mbaassignments@gmail.com ”
or
Call
us at : 08263069601
(Prefer
mailing. Call in emergency )
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