Lecture 3 - Examples
Lecture 3: Supplementary example 1:
It costs $2200 to produce 30 units of a commodity while it costs $4200 to produce 70 units. Find the
linear cost function, expressing the total cost in terms of the number of units produced.
Ans:
Le
Lecture 5 - Examples
Lecture 5: Example 2
Suppose the population of a developing country grows exponentially at the rate of 5% p.a. How
long will it take to double the countrys present population?
Ans:
Let V f t be the population in t years time
V f t V0
Chapter 1
Defining and Collecting Data
Statistics
Data Collection Organization Analysis Interpretation Conclusion
Collection of data is the process of obtaining measurements or counts. Valid conclusions
can result only from properly collected data.
Organi
Chapter 8
Confidence Interval Estimation
There are two types of estimates for unknown population parameters:
1.
Point estimate: consists of a single sample statistic value which is used to estimate the
true population parameter value.
2.
Interval estimate
Chapter 9
Fundamentals of Hypothesis Testing: One-Sample Tests
Hypothesis testing is a procedure based on sample evidence and probability theory to
determine whether the hypothesis is a reasonable statement and should not be rejected, or is
unreasonable a
Chapter 10
Two-Sample Tests and One-Way ANOVA
In Chapters 8 and 9, we learned how to obtain confidence intervals and perform hypothesis
tests for one population parameter (, , or 2). Frequently, however, inferential statistics is
used to compare the param
Chapter 7
Sampling and Sampling Distributions
Sampling Concepts
Sample statistics are used to make inferences (estimates or decisions) about unknown
population parameters. Typical of what we mean by statistic are the sample mean and
the sample proportion.
Chapter 6
The Normal Distribution
Probability Distributions with Continuous Random Variable
For continuous random variables, the possible values (with corresponding probabilities)
cannot be listed. Instead of listing all possible values, a continuous prob
Time-Cost Tradeoff
Project
Cost
C2
C1
Normal Cost
t2
t1
tnormal
Time
Time-Cost Tradeoff Examples
Now let us consider a project with its network diagram given below
where normal activity times are given in days.
C
9
A
7
D
11
Start
B
8
E
8
G
12
H
13
F
10
En
Model Solutions to In-class Exercises (Chapter 14)
1.
Use the following information to answer parts (a) through (f). Describe what the results
of each calculation mean to you as a project manager. What do you propose to do?
PV = $500,000
EV = $350,000
AC
PMBOK Guide Review Questions (Chapter 8)
1) When planning the resources needed for a project, the project manager typically
focuses on:
a) People
b) Equipment
c) Material
d) All of the above
2) A _ addresses when and how project team members will be acqui
PMBOK Guide Review Questions (Chapter 14)
1) Which aspect of project management includes collecting, measuring, and
distributing performance information, and assessing measurements and trends to
effect process improvements?
a) Controlling
b) Monitoring
c)
PMBOK Guide Review QuestionsChapter 1
The purpose of these questions is to help visualize the type of questions on PMP and
CAPM exams. The correct answer is shown in bold and the PMBOK Guide page
references as well as page references from this book are sh
PMBOK Guide Review Questions (Chapter 3)
1) All of the following are characteristics of a projectized organization EXCEPT:
a) Decision making is streamlined
b) Coordination is the responsibility of project managers
c) Functional managers have majority of
PMBOK Guide Review Questions (Chapter 11)
1. Learning from the past and understanding cause-and-effect relationships to predict
future behavior pertain to which part of Demings Profound Knowledge System?
a. systems
b. variation
c. knowledge
d. psychology
PMBOK Guide Review Questions (Chapter 9)
1) The process that establishes the policies, procedures, and documentation for
planning, managing, expending, and controlling project costs is referred to as:
a) Determine Budget
b) Estimate Costs
c) Plan Cost Man
QMDS200 STATISTICS AND DATA ANALYSIS
Assignment # 3
Suggested Solutions
1.
Textbook, Problem 7.13, parts (a), (b) & (c) only, p.262.
Let X = number of correct identifications
n = 200
= 0.5
a)
n = 100 > 5 ; n (1 ) = 100 > 5
Sampling distribution of p is
QMDS200 STATISTICS AND DATA ANALYSIS
Assignment 1
Suggested Solutions
1.
Textbook, Problem 1.7, p.35.
a. numerical; discrete
b. categorical
c. numerical; continuous
2.
Textbook, Problem 1.39, p.46.
a. The population consists of all supply chain executives
State the null and alternative hypotheses in each case below:
1. We would like to infer that the mean amount of television watched daily by all
young adult men is greater than 50 minutes.
2. A management scientist has developed the optimal order quantity
QMDS200 STATISTICS AND DATA ANALYSIS
Assignment # 2
Deadline:
For Sections 002, 005, 006 and 007: 13 March 2017 (Monday)
For Sections 001, 003 and 004: 14 March 2017 (Tuesday)
Please put the course code, course title, student submission number, student n
A major car manufacturer wants to test a new engine to
determine whether it meets new air pollution standards.
The mean emission of all engines of this type must be less
than 20 parts per million (ppm) of carbon. A sample of ten
engines are manufactured f
QMDS200 STATISTICS AND DATA ANALYSIS
Assignment # 3
Deadline:
For Sections 002, 005, 006 and 007: 24 April 2017 (Monday)
For Sections 001, 003 and 004: 25 April 2017 (Tuesday)
Please put the course code, course title, student submission number, student n
QMDS200 Statistics and Data Analysis
Suggested Solutions to Assignment 2
1. Let X = number of heads turning up (X = 0, 1, 2, 3)
= P(Turning up heads) = 0.6
0
3
P X 0 3 C0 0.6 0.4 0.064
P X 1 3 C1 0.6 0.4 0.288
1
2
P X 2 3 C2 0.6 0.4 0.432
2
1
P X 3 3 C3
QMDS200 STATISTICS AND DATA ANALYSIS
Assignment # 1
Deadline:
For Sections 002, 005, 006 and 007: 2 March 2017 (Thursday)
For Sections 001, 003 and 004: 3 March 2017 (Friday)
Please put the course code, course title, student submission number, student na
QMDS200 STATISTICS AND DATA ANALYSIS
Supplementary Exercises
(Part B)
1.
Let X = amount of spending for food
= 550
a)
= 100
n = 100
unknown population distribution of X
n = 100 > 30 Central Limit Theorem
Sampling distribution of X is approximately norma
1.
The spending for food for an average American family is computed for urban families.
Suppose an average urban American family of four spends $550 per month on food with
a standard deviation of $100. Given this information and a sample of 100 urban fami
QMDS200 STATISTICS AND DATA ANALYSIS
Supplementary Exercises
(Set A)
Colleges and universities are requiring an increasing amount of information about
applicants before making acceptance and financial aid decisions. The additional data
required on a unive