ME453_HW3_FA23
.pdf
keyboard_arrow_up
School
University of Illinois, Urbana Champaign *
*We aren’t endorsed by this school
Course
453
Subject
Mechanical Engineering
Date
Dec 6, 2023
Type
Pages
3
Uploaded by DukeMeerkat3564
ME 453: Data Science in Manufacturing Quality Control
Homework 3
Assigned: September 27, 2023
Due: October 11, 2023
Homework guidelines:
1. The total number of points is 100 and 130 for 3-credit-hour and 4-credit-hour sections,
respectively.
The assigned points are given beside questions.
To get full credit you must
SHOW ALL OF YOUR WORK.
2. Problems marked by “[4 credit only]” should be completed by students in the 4-credit-hour
section. Students in the 3-credit-hour section are welcome to work on these problems and
the earned points will be used to compensate for lost points in homework assignments.
3.
Indicates the problem which you need to use Python.
4. A complete submission features the following items: (a) a brief report including all figures
and results, and explanations of necessary steps taken to obtain them; and (b) and the source
code (Python is recommended).
5. Item (a) can be scanned copies of handwritten or typeset reports.
Both items shall be
submitted through Canvas.
Review the following topics discussed in lecture:
1. Methods and philosophies of SPC.
2. Control charts for variables.
Problem 1(20 points + 15 points)
A factory plans to use a Shewhart control chart to monitor one quality characteristic of a product.
It is known that the quality characteristic follows a normal distribution N(100, 16). The quality
control team proposes two designs for the control chart as follows:
Option 1
: 3-sigma limits, sample size = 16
Option 2
: probability limits with p = 0.001, sample size = 25
(1) Calculate Type I error rate for both control charts. (4 points)
(2) Calculate the in-control average run length (ARL) for both control charts. (4 points)
Assume that the process mean changes to 104 mm, i.e., one-sigma mean shift.
Complete the
following questions.
(3) Calculate the type II error rate for both control charts. (8 points)
1
(4) Calculate the out-of-control ARL for both control charts. (4 points)
(5) [4 credit only] Assume that one-sigma mean shift is the most commonly encountered out-of-
control scenario, discuss the pros and cons of both control charts. (5 points)
(6) [4 credit only]
Use software to generate an operating characteristic (OC) curve for each
control chart. To facilitate better comparison, plot two OCs in a single graph and provide a
legend. (10 points)
Problem 2 (20 points)
Suppose you would like to track and monitor the amount of exercise you take per day using the
step counter in your smartphone.
If you don’t have access to such data, you can use the data
provided on Canvas
StepCounter.csv
.
(1) Which control charts should be used? Justify your answer. (5 points)
(2)
Establish Phase I trial limits for the control charts you selected in (1). Use step counts
from 20 workdays: Aug. 22 - 26, Aug. 29 - Sept. 2, Sept. 5 - 9, and Sept. 12 - 16. If any
out-of-control points are present, assume that you can identify the root causes and eliminate
these points. (10 points)
(3)
Use the control limits obtained in (2) to monitor your steps on Sept. 19 - 23 and Sept.
26 - 30 (Phase II). Report your observations. (5 points)
Problem 3 (15 points + 10 points)
Control charts for
¯
X
and
R
are to be established to control the tensile strength of a metal part.
Assume that tensile strength is normally distributed.
Thirty samples of size n = 6 parts are
collected over a period of time with the following results:
30
X
i
=1
¯
X
i
= 6000 and
30
X
i
=1
R
i
= 150
(1) Use 3-sigma to calculate control limits for
¯
X
and
R
. (6 points)
(2) Estimate the process mean and standard deviation when the process in control. (4 points)
(3) For the above
¯
X
chart, find the
β
-risk when the true process mean is 199 and the standard
deviation remains unchanged. (5 points)
(4) [4 credit only]
Perform a simulation study on
β
-risk obtained from (3) following the steps
listed below. (10 points)
(a) Generate 1000 samples with sample size n=6 using
X
∼
N
(199
,
ˆ
σ
2
), where ˆ
σ
is obtained
from (2);
2
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Related Questions
I need parts 1, 2, and 3 answered pertaining to the print provided.
NOTE: If you refuse to answers all 3 parts and insist on wasting my question, then just leave it for someone else to answer. I've never had an issue until recently one single tutor just refuses to even read the instructions of the question and just denies it for a false reasons or drags on 1 part into multiple parts for no reason.
arrow_forward
This is an engineering problem and not a writing assignment. Please Do Not Reject. I had other engineering tutors on bartleby help me with problems similar to this one.
This problem must be presented in a logical order showing the necessary steps used to arrive at an answer. Each homework problem should have the following items unless otherwise stated in the problem:
a. Known: State briefly what is known about the problem.
b. Schematic: Draw a schematic of the physical system or control volume.
c. Assumptions: List all necessary assumptions used to complete the problem.
d. Properties: Identify the source of property values not given to you in the problem. Most sources will be from a table in the textbook (i.e. Table A-4).
e. Find: State what must be found.
f. Analysis: Start your analysis with any necessary equations. Develop your analysis as completely as possible before inserting values and performing the calculations. Draw a box around your answers and include units and follow an…
arrow_forward
I need answers to questions 7, 8, and 9 pertaining to the print provided.
Note: A tutor keeps putting 1 question into 3 parts and wasted so many of my questions. Never had a issue before until now, please allow a different tutor to answer because I was told I am allowed 3 of these questions.
arrow_forward
Please make the charts for the questions. Please refer to Successful Project Management (7th Edition). Attached is the example
Thank you.
arrow_forward
I need problems 6 and 7 solved.
I got it solved on 2 different occasions and it is not worded correctly.
NOTE: Problem 1 is an example of how it should be answered. Below are 2 seperate links to same question asked and once again it was not answered correctly. 1. https://www.bartleby.com/questions-and-answers/it-vivch-print-reading-for-industry-228-class-date-name-review-activity-112-for-each-local-note-or-c/cadc3f7b-2c2f-4471-842b-5a84bf505857
2. https://www.bartleby.com/questions-and-answers/it-vivch-print-reading-for-industry-228-class-date-name-review-activity-112-for-each-local-note-or-c/bd5390f0-3eb6-41ff-81e2-8675809dfab1
arrow_forward
Help!!! Answer all parts correctly!! Please
arrow_forward
I need answers to problems 7, 8, and 9.
NOTE: Please stop wasting my time and yours by rejecting my question because it DOES NOT REQUIRE YOU TO DRAW anything at all. They are simple questions pertaining to the print provided. READ THE INSTRUCTIONS of the assignment before you just reject it for a FALSE reason or leave it for someone to answer that actually wants to do their job. Thanks.
arrow_forward
Please answer complete question
arrow_forward
Please answer the 4th question
arrow_forward
all one question help asap please!
arrow_forward
I need parts 8, 9, and 10 answered. Number 1 is an example of how it should be answered.
NOTE: Read the instructions, no where does it say any drawing is required. It is really frustrating when I wait all this time for an answer to a question and some tutor does even read the instructions and just declines it...its ridicilous.
arrow_forward
TOPIC: ENGINEERING ECONOMICS
SPECIFIC INSTRUCTION: Solve each problem NEATLY and SYSTEMATICALLY. Show your
COMPLETE solutions and BOX your final answers. Express all your answers in 2 decimal places.
PROBLEM:
Cardinal Financing lent an engineering company Php 500,000 to retrofit an environmentally
unfriendly building. The loan is for 5 years at 10 % per year simple interest. How much money
will the firm repay at the end of 5 years?
arrow_forward
Answer letter C. Thank you
arrow_forward
Full Answer PLEASE!.
Answer Q 3 and 4 PLease
Don't copy from the internet. PLEASE WRITE YOUR OWN WORDS
THANK YOU
arrow_forward
please help solve A-F. thank you
You are an engineer working on a project and your prototype has failed prematurely. You question whether or not a key component of the prototype was manufactured with the correct material. There are two way to check for the material properties. The first way is to have a material certification done to confirm the exact material composition. This will take some time. The second method to confirm the material properties is to make an ASTM test sample and test for the material properties. This tensile test was completed on a test sample with an initial diameter of .501” and an initial length of 2”. The Load-Deflection data for this tensile test is below. Use this data to answer the first set of questions on the Final Exam in eLearning. A. Determine the Ultimate Tensile Strength B. Determine the 0.2% Offset Yield Strength C. Determine the value of the Proportional Limit D. Determine the Modulus of Elasticity E. Determine the Strain at Yield F. Calculate %…
arrow_forward
I need answers for problems 13, 14, and 15 pertaining to the print provided.
NOTE: If you refuse to answers all 3 parts and insist on wasting my question by breaking down 1 simple question into 3 parts, then just leave it for someone else to answer. Thank you.
arrow_forward
Q1- Answer or complete the following questions using the information from
your text book: (Story time)
1- Where are Bob and Basim going?
2- ( Bob/ Basim) is telling the story. (Choose)
3- How many unlucky things happen to Bob?
arrow_forward
I need answers to questions 1, 2, and 3 pertaining to the print provided.
Note: A tutor keeps putting 1 question into 3 parts and wasted so many of my questions. Never had a issue before until now, please allow a different tutor to answer because I was told I am allowed 3 of these questions.
arrow_forward
b Answered: Determine the princip x
leby.com/questions-and-answers/determine-the-principal-remaining-after-38-monthly-payments/ee
y'
learn
write
tutor
Homework help starts here!
Engineering » Mechanical Engineering » Q&A Library » Determine the principal remaining after 38 month
Question
Determine the principal remaining after 38 monthly payments have been made for a 5-year
loan of P40,000? Rate of interest is 8% compounded quarterly.
Show the cash flow diagram and complete solution
Subject : Engineering Economy
Expert Solution
Want to see the full answer?
SEE SOLUTION
to search
arrow_forward
I need help solving these 3 simple parts, if you can not answer all 3 parts then please leave it for another tutor, thank you.
arrow_forward
operations research - pert cpm
arrow_forward
J 6
arrow_forward
3 and 4
arrow_forward
Please double check before rejecting this question. If it needs to be rejected, please explain why as I cannot see how this is a breach of the honor code.
This is a questions from the previous year's exam at my university in Engineering Science. I have submitted a solution given to us for study purposes as proof that I will not be graded on this assessment.
In this solution, the formula (2gh)1/2 is used to find the solution, but I am on familliar with Bernoulli's Principle (P=1/2pv^2+pgh), and I was not able to find a solution using this. My solution incurred an error when I found that I had two unkown variables left that I could not break down in any meaningful way. (Velocity being the desired variable, Pressure being the problematic variable). Pressure = Force x Area, but I don't know enough about the dimensions of the tank or tap to be able to understand this.
Thank you for your help.
arrow_forward
ACTIVITY 2 (LECTURE)
SCI 2
PHYSICS FOR ENGINEERS
I.
Answer the following and write your answers on a piece of paper. Upload your
work in pdf or jpeg file (portrait). Express your final answers in two decimal
places.
1. A turtle is crawling along a straight line. Its distance from the origin at any instant
is given by the equation x = 8t – 3t², where x is in centimeters and t is in
seconds. Find (a) the average velocity of the body in the interval from t = Os to t =
1s (1pt) and (b) the instantaneous velocity at t = 2.5s. (1pt)
2. A cheetah is chasing a deer at velocity v = 1.8 t³ – 12t where in v is in meters
and t is in seconds. Find (a) the average acceleration at time interval of 3.5s and
4.5s (2pts) and (b) the instantaneous acceleration at t = 1.5s.(2pts)
3. An antelope moving with constant acceleration covers the distance between two
points 50m apart in 5 seconds. Its velocity as it passes the second point is 15
m/s. What is the antelope's acceleration? (2pts)
4. A ball is…
arrow_forward
Directions: Answer the questions after each situation.
1.
David Aquino, engineering director, started out the day uptight. His young child
had the flu the night before, and he had been up all night to help. Upon arrival at his
office, David had to make urgent phone calls to approve a two-week overtime work plan
due to a plant fire the night before and to plan for a product committee meeting the next
day to counter environmental concerns about a wastewater treatment plant.
Then he spent 30 minutes reviewing the qualifications of new candidates and
decided on one. He asked for salary information and wanted to examine the offer before
it was sent. He asked for further justification for the budget requested by industrial
engineering for a minicomputer. Without reading it, he approved the research proposal
from material engineering. He rejected an invitation to speak at a regional meeting of the
Philippine Society of Mechanical Engineers by giving an untrue reason.
David made a note for the…
arrow_forward
Josh and Jake are both helping to
build a brick wall which is 6 meters in
height. They lay 250 bricks each, but
Josh finishes this task in three (3)
hours while Jake requires 4.5 hours
to complete his part. select the BEST
response below:
Jake does more work than Josh
O Josh does more work than Jake
Both Josh and Jake do the same amo
O of work and have the same amount of
power
Both Josh and Jake does the same
O amount of work, however, Josh has m
power than Jake.
arrow_forward
heck my work mode : This shows what is correct or incorrect for the work you have completed so far. It does not indicate completion.
Return to question
Required information
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
The loading for a beam is as shown in the figure, where F1= 19 lb, F2= 20 lb, F3= 35 lb, F4= 2O Ib, and F5 = 15 lb.
F1
F2
F3
F4
F5
O B
6 in 8 in.-8 in. -6 in.-
Determine the reaction at A. (You must provide an answer before moving to the next part.)
The reaction at A is
76 c 8 Ib
raw
ill
10:45 PM
ENG
69°F Mostly cloudy
10/6/2021
pe here to search
近
arrow_forward
1. HI CAN YOU HELP ME WITH MY ASSIGNMENT. PLEASE WRITE IT PROPERLY, DONT WRITE IT.
Faculty members and staff from ABC University had a meeting on how they will conduct the virtual flag ceremony every Monday. There are reported 12 faculty members, 3 office staff, 4 heads from the different courses and 1 student leader attended a secret meeting in a room which is 15 meters wide by 10.5 meters long and a ceiling of 3.87meters. The room is completely sealed off and insulated. Each persons gives off 150kcal per hour of heat and occupies a volume of 0.2 cubic meter. The room has an initial pressure of 14.696psi and temperature of 522.27 Rankine.
• Calculate the room temperature after 15.5 minutes In Celcius
• What is the mass of air in kilograms
arrow_forward
I need answers to questions 13, 14, and 15 pertaining to the print provided.
Note: A tutor keeps putting 1 question into 3 parts and wasted so many of my questions. Never had a issue before until now, please allow a different tutor to answer because I was told I am allowed 3 of these questions.
arrow_forward
Mech. Engg. Dept.
4th year 2022-2023
Solar Energy
Spring course MEC364
Dr. Mahmoud U. Jasim
Review/Recap Sheet
Q1- Answer with true or false and rewrite the false statements completely in
correct form, otherwise no mark will be put on the false statements.
1
2
To represent a location on earth surface you need to define its altitude and longitude
angles.
3
Solar zenith and solar incidence angles have the same value for horizontal surface.
At sunset time the value of solar altitude angle is maximum.
4
The angle which represents the inclination of a given surface is the zenith angle
5
6
7
8
When the absolute value of sun-wall azimuth angle exceeds 90' this means that the sun
rays are reaching the receiving plane.
The solar irradiance and the solar irradiation have the same physical meaning.
In the case of clear sky weather, the beam solar irradiation on a horizontal surface is less
than the diffused irradiation.
The total solar radiation received by a tilted surface is the same as that…
arrow_forward
The class I'm taking is physics for scientists and engineers!
**** I need help with part D only*****
Can you please write out the solution and not type out the solution? I had to reask this question because the last tutor typed out the solution and it was very hard for me to follow . Please and thank you for the special request.
I have attached the problem. Please view attachment before answering. Thank you!
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Related Questions
- I need parts 1, 2, and 3 answered pertaining to the print provided. NOTE: If you refuse to answers all 3 parts and insist on wasting my question, then just leave it for someone else to answer. I've never had an issue until recently one single tutor just refuses to even read the instructions of the question and just denies it for a false reasons or drags on 1 part into multiple parts for no reason.arrow_forwardThis is an engineering problem and not a writing assignment. Please Do Not Reject. I had other engineering tutors on bartleby help me with problems similar to this one. This problem must be presented in a logical order showing the necessary steps used to arrive at an answer. Each homework problem should have the following items unless otherwise stated in the problem: a. Known: State briefly what is known about the problem. b. Schematic: Draw a schematic of the physical system or control volume. c. Assumptions: List all necessary assumptions used to complete the problem. d. Properties: Identify the source of property values not given to you in the problem. Most sources will be from a table in the textbook (i.e. Table A-4). e. Find: State what must be found. f. Analysis: Start your analysis with any necessary equations. Develop your analysis as completely as possible before inserting values and performing the calculations. Draw a box around your answers and include units and follow an…arrow_forwardI need answers to questions 7, 8, and 9 pertaining to the print provided. Note: A tutor keeps putting 1 question into 3 parts and wasted so many of my questions. Never had a issue before until now, please allow a different tutor to answer because I was told I am allowed 3 of these questions.arrow_forward
- Please make the charts for the questions. Please refer to Successful Project Management (7th Edition). Attached is the example Thank you.arrow_forwardI need problems 6 and 7 solved. I got it solved on 2 different occasions and it is not worded correctly. NOTE: Problem 1 is an example of how it should be answered. Below are 2 seperate links to same question asked and once again it was not answered correctly. 1. https://www.bartleby.com/questions-and-answers/it-vivch-print-reading-for-industry-228-class-date-name-review-activity-112-for-each-local-note-or-c/cadc3f7b-2c2f-4471-842b-5a84bf505857 2. https://www.bartleby.com/questions-and-answers/it-vivch-print-reading-for-industry-228-class-date-name-review-activity-112-for-each-local-note-or-c/bd5390f0-3eb6-41ff-81e2-8675809dfab1arrow_forwardHelp!!! Answer all parts correctly!! Pleasearrow_forward
- I need answers to problems 7, 8, and 9. NOTE: Please stop wasting my time and yours by rejecting my question because it DOES NOT REQUIRE YOU TO DRAW anything at all. They are simple questions pertaining to the print provided. READ THE INSTRUCTIONS of the assignment before you just reject it for a FALSE reason or leave it for someone to answer that actually wants to do their job. Thanks.arrow_forwardPlease answer complete questionarrow_forwardPlease answer the 4th questionarrow_forward
- all one question help asap please!arrow_forwardI need parts 8, 9, and 10 answered. Number 1 is an example of how it should be answered. NOTE: Read the instructions, no where does it say any drawing is required. It is really frustrating when I wait all this time for an answer to a question and some tutor does even read the instructions and just declines it...its ridicilous.arrow_forwardTOPIC: ENGINEERING ECONOMICS SPECIFIC INSTRUCTION: Solve each problem NEATLY and SYSTEMATICALLY. Show your COMPLETE solutions and BOX your final answers. Express all your answers in 2 decimal places. PROBLEM: Cardinal Financing lent an engineering company Php 500,000 to retrofit an environmentally unfriendly building. The loan is for 5 years at 10 % per year simple interest. How much money will the firm repay at the end of 5 years?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY