MET 427/527: Quality Management Systems
This is a test
Statistics Dec 09, 2020
MET 427/527: Quality Management Systems
This is a test. You must work independently to finish the test. If you have any question regarding this test, you may ask only the instructor. In solving all these problems, you must show YOUR WORK in a clear and complete manner, for example, show the formula or model used, calculation steps, results of analysis and interpretation of the results. Give enough details to judge your work.
There are ten questions; Maximum points = 100
Provide an answer for each condition below: (5 x 2 = 10 points)
What is quality improvement? How can you improve quality in an organization?
Answer:
Provide examples for each situation and elaborate:
How can you reduce enterprise waste in an organization? Provide specific examples.
How can you reduce variation/defect in an organization? Provide specific examples.
Answer:
Construct a Multi-Vari chart for the following data set. You can plot the chart by Appraiser or by the Part #. What can you say about the variation? (5 + 5 = 10 points)
Appraiser
Joe
Bob
Jim
Part #1
Low: 5
High: 7
Low: 7
High: 9
Low: 2
High: 8
Part #2
Low: 3
High: 6
Low: 3
High: 7
Low: 6
High: 9
Part #3
Low: 2
High: 7
Low: 2
High: 6
Low: 3
High: 5
Part #4
Low: 4
High: 8
Low: 4
High: 8
Low: 3
High: 8
Part #5
Low: 4
High: 7
Low: 6
High: 9
Low: 2
High 8
Answer/Conclusion:
Calculate probability in the following cases: (5 + 10 = 15 points)
One relay in an electric circuit has a probability of working equal to 0.9. Another relay in series has a chance of 0.8. What is the probability that the circuit will work?
Answer:
From a group of 20 products, 10 are selected at random for testing. What is the probability that the 10 selected contain the 5 best units?
Answer:
Below is a Pareto chart showing number of warranty issues that a Printed Circuit Board (PCB) manufacturer had in the last 6 months. They have a quality improvement team assembled to work on addressing the issues that is causing company lose a lot of money. If they are tackling their quality issue based on Pareto Principle, which issues will they address first and why? (5 points)
Answer:
What are the steps to create an OC Curve according to the text book? There are 5 specific steps to create an OC Curve and it is in the book. List all the steps below in order. (5 points)
For N = 10,000, n = 52, c = 3, calculate AOQ Curve, AOQL value, and ATI Curve. Use as many rows/columns as you need below. You do not have to use them all.
(Hint: Use Table C, page 240 – 243 for Probability of acceptance, Pa values or Excel) (5 x 4 = 20 points)
AOQ Curve & AOQL value
ATI Curve
Calculate the Reliability for the following systems: (5 x 2 = 10 points)
Determine the reliability of the combination system below:
R2=0.90
R3=0.90
R1=0.95
R4=0.99
Input
Output
Answer:
A microwave’s failure pattern follows a Weibull distribution with a slope of 2. If has reliability of 0.92, calculate its mean life at 120 hours.
Answer:
What are some of the key differences between control chart for attributes and control chart for variables? List at least 2 key differences. (5 points)
Control chart for attributes
Control chart for variables
A fortune 500 Automotive Company is analyzing the cost of manufacturing Part A and Part B at two manufacturers. Given the following cost in dollars, determine if there is a significant difference in the cost of manufacturing at each manufacturer using α level of 0.05. Comment on the significance of Type of manufacturer, type of automotive part, and their interaction on the cost of manufacturing. (10 points)
Type of Automotive Part
Manufacturer
Part A
Part B
Manufacturer M1
265, 250
180, 170
Manufacturer M2
225, 215
210, 20
What is S/N ratio for a system that has a pressure of x2 psi and a sample standard deviation of x for 1/x observations? Simplify your answer to the lowest possible terms. (10 points)
What is your sample standard deviation at S/N = 5? (Use nominal the best choice for loss function).
