Tuesday 24 February 2015

qm0021 smu mba Winter 2014 IIIrd sem assignment

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Drive Winter 2014
Program MBA Semester 3
Subject code & name QM0021: Statistical Process Control
Qus:1 (a) What are the two main causes of variation? Explain.
(b) Define the term ‘process’. Give an example of process.
·         Explanation of two causes of variation.
·         Definition of a process and example of a process.
Answer:
Explanation of two causes of variation.
Variation can be defined as any deviation from the specified requirements. It can be either positive or negative.


Qus:2(a) What is meant by Standard Deviation?
(b) Calculate the standard deviation of the following data, which represents the number of defective products by a machine: 4, 2, 5, 8 and 6
·         Meaning of Standard Deviation
·         Calculation of Standard Deviation with steps
Answer:
Meaning of Standard Deviation:
Standard deviation is the root of sum of the squares of deviations divided by the total number of values given in the dataset. Standard deviation shows the degree of variation from mean or value expected. A low standard deviation suggests that points in data are closer to mean, and higher


Qus:3 a) Give the meaning of the following basic terminologies in Probability:
i) Sample Space
ii) Mutually Exclusive events
b) Mention the properties of probability
c) Define the term ‘random variable’
·         Meaning of ‘sample space’ and ‘mutually exclusive events’
·         Properties of probability
·         Definition of ‘random variable’
Answer:
Meaning of ‘sample space’ and ‘mutually exclusive events’:
Sample Space:
It is a set of all possible outcomes of an experiment. For example, if you launch a new product in the market, the product would either get accepted or rejected by the customers. These are the


Qus:4 (a) Differentiate between accuracy and precision.
(b) Write a brief note on ‘Funnel Experiment’
·         Difference between Accuracy and Precision
·         Brief note on ‘Funnel experiment’

Answer:

Difference between Accuracy and Precision:


Qus:5 Define the terms: ‘process capability’ and ‘process stability’. Explain Cp index and Cpk index.
·         Definition of ‘process capability’ and ‘process stability’
·         Explanation of Cp Index and Cpk Index

Answer:

Definition of ‘process capability’ and ‘process stability’

Process capability:

Process capability is defined as the capability of a process which is able to achieve the objective for which it exists within the constraints or the limits. In other words, it is defined as how likely a product is going to meet its predesigned specifications. These objectives and specifications are


Qus:6 Give the meaning of the following:
i)Hypothesis testing
ii) Control chart
iii) Experimental design
iv) Acceptance Sampling
Meaning of:
·         i) Hypothesis testing
·         ii) Control chart
·         iii) Experimental design
·         iv) Acceptance Sampling

Answer:

i) Hypothesis testing:

Hypothesis testing is define as a process of resolving problems or deriving information from the given data in order to conduct crucial business decisions. It is a logical method of accepting and validating business decisions. In hypothesis testing, two types of hypothesis are utilised. One is the null hypothesis and another is the alternate hypothesis. The null hypothesis is a statement

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