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Friday 15 June 2012

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                       IIBM Institute of Business Management

Six Sigma Green Belt Professional

Q1. A 23 full factorial design with 2 replications provides information about:
a.       Main factor effects
b.      Two way interactions
c.       Three way interaction
d.      All of the above
e.      None of the above
Q2. A 23 full factorial design attempts to prevent the effect of lurking variables by
a.       Replication

b.      Randomization
c.       Interaction
d.      None of the above
e.      All of the above
Q3. A 23 full factor design with 2 replications per cell requires ___________________ runs.
a.       2
b.      3
c.       4
d.      8
e.      16
Q4. A 23 full factorial design can be physically represented by which shape?
a.       Square
b.      Cube
c.       Rectangle
d.      Circle
e.      None of the above
Q5. The purpose of a full factorial design is to:
a.       Provide information on the effects of main factors
b.      Provide information on the effects of interactions
c.       If possible, remove the effects of lurking
d.      All of the above
e.      None of the above
Q6. Sigma is a statistical term that refers to the standard deviation of the process about its
a.       Variance
b.      Mean
c.       Median
d.      Mode
e.      None of the above
Use the following design matrix display to answer the question 7 -9.
Test
         X1
X2
X3
CTQ
1
-
-
-
6
2
+
-
-
7
3
-
+
-
8
4
+
+
-
7
5
-
-
+
3
6
+
-
+
4
7
-
+
+
4
8
         +
+
+
         5








Q7. The above design matrix layout is called:
a.       Random order
b.      Run order
c.       Standard order
d.      None of the above
e.      All of the above
Q8. Compute the average effect of X3:
a.       +12
b.      -3
c.       -4
d.      +15
e.      None of the above
Q9. Compute the average effect of the interaction between X1 and X3.
2. -2
b. +1/2
c. +3
d. 1/3
e. none of the above
Q10. Purpose of a pilot test is
a.       It validates a revised best practices method.
b.      It highlights the risks (e.g., FMEA) involved in using the revised best practice method.
c.       It promotes a smooth implementation of the revised best practice method.
d.      It facilitates buy-in by the stakeholders of revised best practice method.
e.      All of the above
Q11. Purpose of “risk management” is
a.       To maintain control
b.      To minimize the risk of failure of product, service or process by using risk abatement plans
c.       To minimize control level
d.      Both (a) and (b)
e.      None of the above
Q12. Purpose of a 2k full factorial design is
a.       To understand the relationships between a set of Xs each with only one level
b.      To understand the relationships between a set of Xs each with only two levels
c.       To understand the relationships between a set of Xs each with only three levels
d.      All the above
e.      None of the above
Q13. Capability of the process in statistical terms is defined as:
a.       Measure of voice of the Process
b.      Measure of voice of the Customer.
c.       Measure of the relative relationship between the “Voice of the Process” and the “voice of the Customer.
d.      All of the above
e.      None of the above
Q14. Randomize runs in an experimental design to
a.       Add more effects of lurking variables
b.      Remove the effects of lurking variables
c.       Deviate the effects of lurking variables
d.      None of the above
e.      All of the above
Q15. Purpose of an operational definition is:
a.       Promotes effective communication between people
b.      Put communicable meaning into an adjective
c.       Put communicable meaning into proverb
d.      Both of the above
e.      None of the above
Q16. Examples of measurement data is
a.       Cycle time,
b.      Weight,
c.       Temperature
d.      Both of the above
e.      None of the above
Q17. The term “SIPOC analysis is described as:
a.       A simple tool for identifying the Suppliers and their Inputs into a Process
b.      The high level steps of a process
c.       The Outputs of the process and the Customers ( market) segments interested in the outputs.
d.      All of the above
e.      None of the above
Q18. CTQ is defined as
a.       Critical to Quality characteristic
b.      Critics to Quality characteristic
c.       Critical characteristic of Quality
d.      All of the above
e.      None of the above
Q19. “X” in respect to a SIPOC analysis is defined as:
a.       Inputs
b.      Process steps
c.       Inputs and process steps that cause variation in the outputs of a process
d.      All of the above
e.      None of the above
For question 20 – 25 consider the following problem statement:
A customer wants to buy chocolate bars with a nominal weight of 6.0 ounces and will accept a tolerance of 0.05 ounces either side of nominal. As a supplier of chocolate bars you want to understand your process. Your process produces chocolate rectangles that are cut from larger blocks of chocolate and then packaged as six-ounce bars. Every 15 minutes, three chocolate bar are weighed, prior to packaging. The chart below shows the weights for each bar examined in a seven – hour day:


Q20. Overall process mean is:
a.       5.000
b.      6.000
c.       6.020
d.      6.024
e.      None of the above
Q21. The estimate of the process standard deviation is:
a.       0.019286
b.      1.693
c.       0.0113
d.      0.01234
e.      None of the above
Q22. LSL and USL for the above process are:
a.       LSL = 5.95 and USL = 6.05
b.      LSL = 6.95 and USL =5.05
c.       LSL = 7.95 and USL = 6.05
d.      LSL = 4.95 and USL = 4.05
e.      None of the above
Q23. Actual process yield using the empirical data is
a.       0.552
b.      0.652
c.       0.752
d.      0.952
e.      0.852
Q24. Actual DPMO from the empirical data is:
a.       45,000
b.      46,000
c.       48,000
d.      47,000
e.      50,000
Q25. Theoretical DPMO using the normal distribution is:
a.       11,100
b.      11,200
c.       11,300
d.      48,000
e.      None of the above
Q26. How might the standard deviation(S) of a normal distribution be greater than the mean?
a.       S is given by a square root, and the square root is larger than the fraction.
b.      In a normal distribution, the variance must equal the mean.
c.       If some scores are negative, the mean could be very small despite a large S.
d.      The median would have to be less than the skew
e.      None of the above
Q27. In a class of 100, the mean on a certain exam was 50, the standard deviation, 0. This means
a.       Half the class had scores less than 50
b.      There was a high correlation between ability and grade
c.       Everyone had a score of exactly 50
d.      Half the class had 0’s and half had 50’s
e.      None of the above
Q28. Suppose the mean on the final exam is 24 (of 40), with a standard deviation of 1.5. If you get a 21, how well do you do (relative to the rest of the class)?
a.       Very poorly – perhaps the lowest score
b.      Not well, but somewhere in the C’s
c.       OK – about average
d.      Nicely – better than the median
e.      None of the above
Q29. You can claim that there is a significant difference between scores from two groups if
a.       The difference between the means is large compared to the standard error
b.      The means are large compared to the standard error
c.       The means are small compared to the standard error
d.      The difference between the standard deviations is large compared to the means
e.      None of the above
Q30. The correlation between a person’s hair length and score on the midterm is very nearly zero. If your friend has a crew cut, your best guess as to what he got on the midterm is
a.       The standard deviation of scores on the midterm
b.      The mean minus the standard deviation
c.       The mean score
d.      None of the above
Q31. There is a low (but real) negative correlation between the amount of rain in a given summer and the amount the summer before. In the absence of any information except that this summer is wetter than usual, you are asked to guess next summer’s rain. Your best guess:
a.       Somewhat more than the average summer rainfall
b.      The average summer rainfall
c.       Somewhat less than the average summer rainfall
d.      The standard deviation of the rainfall
e.      None of the above
Q32. Which of the following statements best describes the relationship between quality management and product strategy?
a.       Product strategy is set by top management; quality management is an independent activity.
b.      Quality management is important to the low-cost product strategy, but not to the response or differentiation strategies.
c.       High quality is important to all three strategies, but it is not a critical success factor.
d.      Managing quality helps building successful product strategies.
e.      Companies with the highest measures of quality were no more productive than other firms.
Q33. “Quality is defined by the customer” is
a.       An unrealistic definition of quality
b.      A user-based definition of quality
c.       A manufacturing – based definition of quality
d.      A product – based definition of quality
e.      The definition proposed by the American Society for Quality
Q34. “Making it right the first “is
a.       An unrealistic definition of quality
b.      A user- based definition of quality
c.       A manufacturing- based definition of quality
d.      A product- based definition of quality
e.      The definition proposed by the American Society for Quality
Q35. Three broad categories of definitions of quality are
a.       Product quality, service quality, and organizational quality
b.      User- based, manufacturing –based, and product – based
c.       Internal, external, and prevention
d.      Low – cost, response, and differentiation
e.      Pareto, Shewhart, and Deming
Q36. According to the manufacturing –based definition of quality,
a.       Quality is the degree of excellence at an acceptable price and the control of variability at an acceptable cost
b.      Quality depends on how well the product fits patterns of consumer preferences
c.       Even though quality cannot be defined, you know what it is
d.      Quality is the degree to which a specific product conforms to standards
e.      Quality lies in the eyes of the beholder
Q37. The role of quality in limiting a firm’s product liability is illustrated by
a.       Ensuring that contaminated products such as impure foods do not reach customs
b.      Ensuring that products meet standards such as those of the Consumer Product Safety Act
c.       Designing safe products to limit possible harm to consumers
d.      Using processes that make products as safe or as durable as their design specifications call fro
e.      All of the above are valid.
Q38. Which of the following is not one of the major categories of costs associated with quality?
a.       Prevention costs
b.      Appraisal costs
c.       Internal failures
d.      External failures
e.      None of the above; they are all major categories of costs associated with quality
Q39. All of the following costs are likely to decrease as a result of better quality expect
a.       Customer dissatisfaction costs
b.      Inspection costs
c.       Scrap costs
d.      Warranty and service costs
e.      Maintenance costs
Q40. Which of the following statements is not true?
a.       Self-promotion is not a substitute for quality products.
b.      Inferior products harm a firm’s profitability and a nation’s balance of payments
c.       Product liability transfers from the manufacturer to the retailer once the retailer accepts delivery of the product.
d.      Quality – be it good or bad – will show up in perceptions about a firm’s new products, employment practices, and supplier relations.
e.      Legislation such as the consumer product safety act sets and enforces product standards by banning products that do not reach those standards.
Q41. “Employees cannot produce goods that on average exceed the quality of what the process is capable of producing” expresses a basic element in the writings of
a.       Vilfredo Pareto
b.      Armand Feigenbaum
c.       Joseph M Juran
d.      W. Edwards Deming
e.      Philip B Crosby
Q42. “Quality Is Free,” meaning that the costs of poor quality have been understated, is the work of
a.       W. Edwards Deming
b.      Joseph M Juran
c.       Philip B Crosby
d.      Crosby, Stills, and Nash
e.      Armand Feigenbaum
Q43. The philosophy of zero defects is
a.       The result of Deming’s research
b.      Unrealistic
c.       Prohibitively costly
d.      An ultimate goal; in practice, 1 to 2% defects is acceptable
e.      Consistent with the commitment to continuous improvement
Q44. Regarding the quality of design, production, and distribution of products, an ethical requirement for management is to
a.       Determine whether any f the organization’s stakeholders are violated by poor quality products
b.      Gain ISO 14000 certification for the organization
c.       Obtain a product safety certificate from the Consumer Product Safety Commission
d.      Have the organization’s legal staff write disclaimers in the product instruction booklets
e.      Compare the cost of products liability to the external failure cost
Q45. If 1 million passengers pass through the St. Louis Airport with checked baggage each month, a successful Six Sigma program for baggage handling would result in how many passengers with misplaced luggage?
a.       3.4
b.      6.0
c.       34
d.      2700
e.      6 times the monthly standard deviation of passengers
Q46. Which of the following is true about ISO 1400 certification?
a.       It is not a prerequisite for ISO 9000 certification.
b.      It deals with environmental management.
c.       It offers a good systematic approach to pollution prevention.
d.      One of its core elements is life-cycle assessment.
e.      All of the above are true.
Q47. To become ISO 9000 certified, organizations must
a.       Document quality procedures
b.      Have an onsite assessment
c.       Have an ongoing series of audits of their products or service
d.      All of the above
e.      None of the above
Q48. Which of the following statements regarding “Six Sigma” is true?
a.       The term has two distinct meanings – one is statistical; the other is a comprehensive quality system.
b.      Six Sigma means that about 94 percent of a firm’s output is free of defects.
c.       The Six Sigma program was developed by Toyota in the 1970’s.
d.      The Six Sigma program is for manufacturing firms, and is not applicable to services.
e.      Six Sigma certification is granted by the International Standards Organization (ISO)
Q49. Building high-morale organizations and building communication network that incluse employees are both elements of
a.       ISO 9000 certification
b.      Six Sigma certification
c.       Employee empowerment
d.      Taguchi methods
e.      The tools of TQM
Q50. The process of identifying other organizations that are best at some facet of your operations and then modeling your organization after them is known as
a.       Continuous improvement
b.      Employee empowerment
c.       Benchmarking
d.      Copycatting
e.      Patent infringement.
Q51. Six sigma quality performance means ___________________ defects per millions.
a.       0.4
b.      1.9
c.       3.4
d.      4.3
e.      3.5
Q52. Six sigma is associate with process capabilities of ___________________ which are considered world-class performance
a.       Cp = 1.5
b.      Cp > 1.5
c.       Cp <1.5
d.      Cp =1.0
e.      Cp =2.0
Q53. Who is known as the father of SQC?
a.       W. Edward Deming
b.      Joseph M Juran
c.       Walter Shewhart
d.      Philip Crosby
e.      None  of the above
Q54. ________________________ can be defined as the use of problem solving techniques and quick deployment to implement improvements and then use process behavior studies to maintain the gains.
a.       Continual improvement
b.      Continuous improvement
c.       Discontinuous improvement
d.      Improvement
e.      Disorder
Q55. Six Sigma was first started at
a.       Titan
b.      Ranbaxy
c.       Motorola Inc.
d.      Toyota
e.      Maruti
Q56. The SIPOC business model provides all the following benefits, EXCEPT:
a.       Providing a framework applicable to processes of all sizes
b.      Identifying the few key business customers
c.       Displaying cross-function activities in simple terms
d.      Helping maintain the big business picture
e.      None of the above
Q57. Which of the new quality management tools is used to organize facts and data about an unfamiliar subjects or problem?
a.       The affinity diagram
b.      The header technique
c.       The AND diagram
d.      Matrix diagram
e.      None of the above
Q58. In Six Sigma road map tell the correct order for steps:
I.                    Recognition                                                
II.                   Use problem solving methodology
III.                Use DMAIC model to deploy the improvement
IV.                Identification
a.       I , II, III, IV
b.      I, IV, II, III
c.       III, IV, I, II
d.      IV, III, I, II
e.      I , III, IV, II
Q59. The purpose of “rolled through put yield” in the six sigma define step would include all of the following, expect:
a.       Spotting significant differences in yield
b.      Providing a baseline metric
c.       Using the calculation for customer analysis
d.      Analyzing a process flow for improvement ideas
e.      None of the above
Q60. Which three of the following four techniques could easily be used to display the same data?
I.                    Stem and leaf plots
II.                  Boxplots
III.                Scatter diagrams
IV.                Histograms
a.       I,II and III only
b.      I, II, and IV only
c.       I, III, and IV only
d.      II, III and IV only
e.      None of the above
Q61. In the regression equation y = mx + b, y increases with x in all cases:
a.       If b is positive
b.      If b is negative
c.       If m is positive
d.      If m is negative
e.      None of the above
Q62. If a sample size of 16 yields an average of 12 and standard deviation of 3, estimate the 95% confidence interval for the population (assume a normal distribution).
a.       10.40 < m < 13.60
b.      10.45 < m < 13.55
c.       10.53 < m < 13.47
d.      10.77 < m < 13.23
e.      None of the above
Q63. Rearrange the following steps in correct order under TOC
I.                    Subordinate
II.                  Identify
III.                Repeat
IV.                Elevate
V.                  Exploit
a.       I, II, III, IV, V
b.      II,V, I, IV, III
c.       V, IV, II, III, I
d.      III, IV, I, II, V
e.      V, II, III, I , IV
Q64. In a full factorial experimental design, factors A and B are Both tested at 4 levels. How many experiments are conducted?
a.       8
b.      9
c.       12
d.      16
e.      5
Q65. The smallest run number possible to examine the main effects of 22 factors at 2 levels is:
a.       23
b.      24
c.       44
d.      56
e.      20
Q66. The main difference between traditional kaizen and the kaizen blitx approach is:
a.       The number of people involved
b.      The place of the change effort
c.       The amount of the floor space saved
d.      The commitment level of management
e.      None of the above
Q67. A ________________ is a document stating the purposes of the project and servers as an informal contact that helps the team stay on track with the goals of the organization
a.       Charter
b.      Calendar
c.       Starter
d.      Statement
e.      Projector
Q68.Accourding to _________________ developmental sequence in small groups teams typically go through the stages of forming, storming, norming and performing
a.       B W Tuckmans’s
b.      Woodford
c.       Breyfogle
d.      Joseph M Juran
e.      None of the above
Q69. Affinity diagram are used to produce _______________ possible answers to an open ended question
a.       Only 2
b.      Only 3
c.       More than 5
d.      Many
e.      No
Q70. Horizontal communication is used in
a.       Flatter organization
b.      Fleeter organization
c.       Floater organization
d.      All of the above
e.      None of the above
Q71. Which of the following relation is correct for RPN calculation
a.       RPN = S x O +D
b.      RPN = S x O –D
c.       PRN = S x O x D
d.      RPN = S x O / D
e.      None of the above
Q72. Z charts are also called
a.       Short – run charts
b.      Long – run charts
c.       Group charts
d.      Paynter charts
e.      None of the above
Q73. Contigency tables are ____________ dimensional classification tables.
a.       2
b.      3
c.       4
d.      6
e.      None of the above
74. A mechanical assembly process has a historical defective rate of 10%. What is the probability that a lot of 50 units will contain exactly five defectives?
a. 0.16%
b. 0.17%
c. 0.18%
d. 1.0%
e. None of the above

Q75. A pizza restaurant’s order processing time is normally distributed. A random sample has mean 30 minutes and standard deviation five minutes. Estimate the % of the orders that are between 35 and 20 minutes.
a.       0.89
b.      0.85
c.       0.80
d.      0.82
e.      1.0

Q76. In Gage R & R , R & R stands for
a.       Repeat and Repeat
b.      Repeatability and Repeatability
c.       Reproducibility and Reproducibility
d.      Repeatability and Reproducibility
e.      None of the above






Q85. The formula for control limits for the c chart

Q86. Which of the following is not related with scope wide open
a.       Global warming
b.      Low attendance at ASQ section program meeting
c.       Unemployment
d.      Organization culture
e.      None of the above

Q87.which of the following is NOT a widely recognized topic area for DFX?
a.       Design for profit
b.      Design for assembly
c.       Design for reliability
d.      Design for appearance
e.      None of the above

Q88. Defect correction is an example of
a.       Value added services
b.      Non-value added services
c.       Lean thinking
d.      Standard work
e.      None of the above

Q89. Activities that perform functions that do not change the form or function of the product or service and the customer is not willing to pay for these activities are termed as __________.
a.       Value services
b.      Value added services
c.       Services
d.      None of the above

Q90. Which of the following is not included in 5W’s concept
a.       Which
b.      What
c.       Why
d.      Where
e.      where

Q91. If the probability of a car starting on a rainy day is 0.4, the complement of not would be
a.       0.4
b.      0.5
c.       0.6
d.      0.8
e.      1.0

Q92. A local ASQ section with 10 volunteers wants to form a task fore of three volunteers to send for proctor training to potentially become exam proctors. The different three- person combinations could be formed are:
a.       50
b.      80
c.       100
d.      120
e.      150

a.       0.01
b.      0.02
c.       0.03
d.      0.04
e.      0.05

Q94. Twelve randomly selected chemical packs were measured before mixing with the raw material. The weights in grams of chemicals supplied by a vendor to an organization are as follows:
7.3, 7.9, 7.1, 7.3, 7.4, 7.3, 7.0, 7.3, 7.7, 7.3, 7.1, 7.8
The weight on the pack says 7.5 grams. The approximate probability that the weight of the rest of the packs in storage is greater than 7.5 is :
a.       7.4
b.      7.2
c.       7.5
d.      7.6
e.      7.8



Q96. Value at cooking level is
a.       20.5
b.      21.3
c.       22.3
d.      23.5
e.      25.0

O97. Value at Meat level is:
a.       2.75
b.      5.75
c.       1.0
d.      -5.57
e.      -6.5

Q98. Value at marinade level is
a.       0.2
b.      1.2
c.       1.5
d.      2.5
e.      -2.5

Q99. A null hypothesis requires several assumptions, a basic one of which is:
a.       That the variables are significant
b.      The variables are independent
c.       That the sample size is adequate
d.      That the confidence interval is +  2 standard deviations
e.      None of the abve

Q100. ____________________ is a method of generating a large number of creative ideas in a short period of time.
a.       Six Sigma
b.      Brainstorming
c.       Benchmarking
d.      Performing
e.      None of the above

















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