STAT804 Exam 1: March. 9. 2006
Name: Solution
You may use a calculator. Show your work. Use your own paper if necessary.
1. Consider the following nite, clustered population of size N = 4.
Cluster, i
Cluster size, xi
k
yk
1
12
1
8
2
10
2
6
3
11
3
4
4
2
t
Stat 804: Practice Exam
1. Consider the following nite, stratied population of size N = 4.
Stratum
Farm
Acreage xk
Corn Acreage yk
1
1
24
12
2
36
24
3
48
36
4
72
60
tx = 180
ty = 132
known
unknown
2
(a) SI of size 3.
Sample Measurements
Prob[S = s]
HT est
English 186
Innovation!
The Plow
The Compass
The Wheel
Magnifying Lenses
The Printing Press
The Steam Engine
Refrigeration
The Lightbulb
Antibiotics
Fords Assembly Line
Pages 49 in our text has some good ideas about writing this essay. You may want to
do
Econ 215-001 Spring 2017: Homework 3
Due Date: Friday (9:30 AM), January 27, 2017.
Name: Rok Krizaj ID: 74392933
Instructions:
You will need to download the data sets from either the Keller book website or
Blackboards Course Documents folder.
The question
10 DISCOVERIES ABOUT U.S. COLLEGE GRADS
What did you learn from reading the article?
I learned that age on graduation from college does not matter. In my opinion, this is a very
important information, since lot of people underestimate older people on the
HIST 121 - The World Since 1500
Reaction Paper # 1
Prof. Bedross Der Matossian
TA: Sean Scanlon
Due on Thursday the 21st of January, 2015
"Based upon your reading in the Strayer textbook (Ch. 12) and of the
primary document Ma Huan's "The Country of Ku-Li
Additional Review Problems for Exam II
1. Without simplifying, find the derivatives of the following functions:
a) g(x) = ln 4x 2 x
b) y = (2x 2 5)6 e x
c) f(x) =
2
ln x 2
3e 4x
2. Let f(x) = (8x 2 32) 4 . Find the open interval(s) on which f(x) is decrea
Tomislav Antoljak
English 186
Carol Ochsner
18 April 2016
Argument Essay
Doping penalties
Many people consider sport as a healthy and pleasant activity which makes people
happy and fulfilled. However, professional sport is a totally different concept. Pro
CHAPTER 1
3 sets of goals in communicating:
- instrumental communicationmessages aimed at accomplishing the task at hand
(How long do you want it to be? , Can you bring me that piece please?)
- relational communicationmessages that shape and reflect the w
Antoljak 1
Tomislav Antoljak (Tommy)
English 150 Sec 001
Observational Essay Final Draft
24 October 2016
Being Different
When Rok says I must have a 4.0 GPA! he stands for it. And when on a Saturday
afternoon he shouts I cant hang out. I have a lot of stu
Stat 804
Chapter 9
9. Two Phase Sampling
Use of Auxiliary Information x
Design (pps, ST)
Estimation (Ratio, Regression)
When the auxiliary information is not available, we may
use the two phase sampling design.
Sample selection
Phase 1 : Using a design
Stat 804
Chapter 6
6. The Regression Estimator
Auxiliary Information
xk = (x1k , , xJk ) .
Assume known for every k U .
Difference Estimator
Suppose
yk =
J
j =1
Aj xjk = xk A
.
=yk ,
where A = (A1, , AJ ) . Then
ty =
U yk
=
ty,dif f =
V
ty,dif f =
0
Sta
Stat 804: HW1
2.3.
Solution
U = U1 U2 U3 and N (1, 000) = N1 (600) + N2 (300) + N3 (100)
(a) k = 0.1 k U1 , k = 0.2 k U2 , k = 0.8 k U3 . The sample size is ns = n1 + n2 + n3 ,
where n1 b(600, 0.1), n2 b(300, 0.2) and n3 b(100, 0.8). Thus
E (ns ) = E (n1
Stat 804: HW2
Solution
3.3.
Note that ns = 71, = 0.5 and N = 124. Thus, an approximate 95% condence interval for the
proportion of countries belonging to Asia is
t
(1.96)
N
3.4.
21 1
N2
1
1
= 0.3387096774 0.1024375143.
The coefcient of variation of the
5.2. Bernoulli sampling with k = = 0.3.
ty =
R=
tz
1
V R=2
z
t
S
1
=2
tz
s yk
s zk
= 1.099 .
kl yk Rzk yl Rzl
kl
k
l
(1 )
yk Rzk
2
S
2
= 0.0066
5.3.
2
BR R
1
1
nN
2
C VZU
1
1
2
C VZU 0.01
nN
1
0.01
1
2 +N
n
CVZU
1
0.01
2 +N
CVZU
n
Variable
u zk
2
u zk
M
Stat 804
Chapter 1 & 2
Example : Township with four farms.
Label
1
2
3
4
total
Acreage(xi)
4
6
6
20
36
Corn Acreage(yi)
1
3
5
15
24
The total acreage (xi) are known, but yi are unknown.
Interest in ty = total corn acres.
Take a random sample of size 2
Stat 804
Chapter 3
Read Ch. 3.1. and 3.2.
3.3. Simple Random Sampling
3.3.1. Simple Random Sampling w/o Replacement
Result 3.3.1: Done
Result 3.3.2: The Horvitz-Thompson estimator for the population mean is
t
U = = ys .
y
N
The variance is
1f 2
SyU ,
n
a
Stat 804
Chapter 3
3.6. Probability Proportional-to-Size Sampling
Without Replacement (ps sampling)
Recall
1
V cfw_ =
t
2
yk
y
kl
l
k l
U
2
Let x1, , xN be the size variable that is correlated with
y . Dene the sampling design such that
k xk ,
(k = cxk
Stat 804
Chapter 4
4. Cluster Sampling
Example: Want to estimate the total volume of apples in
orchard
Does not have a list of apples
Do have a list of trees
= Draw a sample of trees. For each selected tree, measure apples.
: Apple sizes on same tree a
Stat 804
Chapter 5
5. More Complex Estimation Problem
Parameter: Function of Totals
= f (t1, , tq ) ,
where
tj =
yjk ,
kU
j : j th variable of study, k : kth element.
Example)
1. Mean
2. Variance
3. Regression Coefcient
0
Stat 804
Chapter 5
The effect
ACCOUNTING 201
INTRODUCTION TO FINANCIAL ACCOUNTING
Fall 2016
OBJECTIVE
This is not a math class. It is true that accounting relies heavy on numbers however, the math is generally limited to addition,
subtraction and simple algebra. Accounting is as Warre