STA 4322
Introduction to Statistics Theory
Fall 2012
Exam II
Name:
UFID:
Instructions: There are 100 total points. You must show your work to receive credit. Read
each part of each question carefully. There are 5 problems on 7 pages. The last page is Tab
Exam I
STA 4322
Introduction to Statistics Theory
Fall 2013
Name:
UFID:
Instructions: There are 100 total points. You must show your work to receive credit. Read
each part of each question carefully. There are 5 problems on 7 pages. The last page is Tabl
TESTING HYPOTHESES CONCERNING VARIANCES
Suppose we have a random sample of size n from a normal population with variance 2 . Note: The
normality assumption is very important for this procedure to work well and it must hold even for large
samples.
2
1. Ha:
TESTS FOR MEANS
Test for the mean using a small sample ( assume a normal population and use the tdistribution ) or using a
large sample ( using the Central Limit Theorem we need no assumptions and we use the zdistribution ).
1. Ha: > o
2. Ha: < o
3. Ha:
RELATIONSHIP BETWEEN CONFIDENCE INTERVALS AND TWOTAILED TESTS
Consider the situation where we have a parameter, , and an unbiased estimator for the parameter, , and

Z=
also that
.
s
Suppose we calculate a 100 ( 1 ) % confidence interval for using the
POWER FUNCTION
Consider a test of hypotheses concerning a parameter . The power function of this test is the function
defined by:
power( ) = P( rejecting H0 when the true parameter value is ). By looking at the power
function we can see how the test proce
NEYMANPEARSON LEMMA AND MOST POWERFUL TESTS
In a statistical test, the hypotheses are H0 and Ha. We say we have a simple statistical hypothesis if the
hypothesis ( along with the assumptions ) completely specifies the distribution and we say we have a
co
ASSIGNMENT # 11  SOLUTIONS
Due by Friday, November 21st
Note: For all tests of hypotheses you must include each of the following: H a, H0, RR, TS, Pvalue, and a
conclusion written completely in terms of the problem with the value given as a measure of r
ASSIGNMENT # 11
Due by Friday, November 21st
Note: For all tests of hypotheses you must include each of the following: H a, H0, RR, TS, Pvalue, and a
conclusion written completely in terms of the problem with the value given as a measure of reliability.
ASSIGNMENT # 10
Due by Friday, November 14th
Note: For all tests of hypotheses you must include each of the following: H a, H0, RR, TS, Pvalue, and a
conclusion written in terms of the problem with the value given as a measure of reliability. Use the dat
Group Project 1
4,9,14,19, 24
Instructions:
In your assigned canvas project group answer the following questions. If the answer to the
question requires calculations all work must be show. When completed submit one word
document per group with the solutio
Standard
Operations &
Improvements
OPERATOR
NUMBER
MODEL NUMBER
AND NAME
WORK
SEQUENCE
1234567890 master cylinder
STEP
NUMBER
1
2
STANDARD WORK
COMBINATION SHEET
Master cylinder machining
TIME
OPERATION NAME
Man.
Pick up blank
Auto.
Walk
2
2
M110
Unload/
JOBSHOPSCHEDULING
USINGTHEORYOF
CONSTRAINTS
JOBSHOPSCHEDULING
ThephilosophyhereistoapplytheTOCprinciplestoajob
shop environment. This involves determining the bottleneck
machine,exploitingthebottleneckmachine,andsubordinating
the other machines to the nee
SCHEDULING
PriorityRulesforDispatching
1)FirstComeFirstServed(FCFS)
2)ShortestProcessingTime(SPT)
3)EarliestDueDate(EDD)
4)LongestProcessingTime
Examples:
A
Jobs
Time
t
Due
date
B
C
D
E
6
8
2
6
8
18
3
15
9
23
SCHEDULING
Assume the letters are assigned in
Heijunka1
Example1
A manufacturing facility produces 3 parts. Each part must be processed
through cut, mold, and assembly. Setup and processing times for each
part at each machine can be determined. Schedule parts considering
available labor/machine times
SETUP OPERATIONS
A setup operation (or simply setup) is
the preparation or after adjustment that
is performed once before and one after
each lot is processed.
Basic Steps in a Setup
Operation
1.Preparation, After Process Adjustments,
Checking of Materials
KanbanCardCalculations
1.ProductionKanban
Process Initial Buffer
Process Final
Buffer
6
PROCESS
4
5
3
2
Kanban Ordering Post
1
Kanban Receiving Post
: Material Flow
.
: Production Kanban Flow
1.ProductionKanban
Parts consumed during one kanban cycle = Ave
The Seven Wastes Found in
Manufacturing
1.
2.
3.
4.
5.
6.
7.
Waste of Waiting time
Transportation waste
Processing waste
Inventory waste
Waste of motion
Waste from overproduction
Waste from product defects
This is the list used by Toyota.
The Nine Wastes
EIN 4451 Lean Production
HW # 1
PokaYoke
1. Installing a device on a drill to count the number of holes drilled in a work piece; a buzzer
sounds if the work piece is removed before the correct number of holes has been drilled.
This helps the worker keep
WORLDCLASS
MANUFACTURING
Definition
The purpose of any manufacturing enterprise is to
consistentlymakeaprofit,pureandsimple.
Being a world class in manufacturing means that the
companycancompetesuccessfullyandmakeaprofitinan
environment of international c
EIN 4401 Lean Production
Sample Midterm Exam 1
Closed book closed notes
I. Give 1 sentence to 1 paragraph answers to the following questions.
1. If we think of Lean Manufacturing as a threelegged stool, list what each leg
corresponds to.
TPM
JIT
TQC
2. G
Different Production Systems
There are three basic production control
systems that are being practiced today
1. Push Systems (MRP, MRP II)
2. Pull Systems (Kanban, Conwip)
3. Mixed production systems (pull/push and
push/pull systems)
Pull Systems of Produ
A Road Map for Lean Manufacturing Journey
Waste elimination
TPM
Justintime
TQC
Kanban
Leveled/mixed
production
Five Whys
Short
production
lead time
Cycle time
control
Standardized
work
Autonomation
(Jidoka)
Visual Control
Andon (visual lights)
Kanban
Mu
AGILEMANUFACTURING
AGILEMANUFACTURING
In 1994 Paul T Kidd wrote "Agile manufacturing is
something that our corporations have yet to fully
comprehend, never mind implement". He further claimed
that this potential quantum leap in manufacturing is held
back
Heijunka1
Example1
A manufacturing facility produces 3 parts. Each part must be processed
through cut, mold, and assembly. Setup and processing times for each
part at each machine can be determined. Schedule parts considering
available labor/machine times
SCHEDULING
PriorityRulesforDispatching
1)FirstComeFirstServed(FCFS)
2)ShortestProcessingTime(SPT)
3)EarliestDueDate(EDD)
4)LongestProcessingTime
Examples:
A
Jobs
Time
t
Due
date
B
C
D
E
6
8
2
6
8
18
3
15
9
23
SCHEDULING
Assume the letters are assigned in