HKUST 2011-2012 Spring
MATH 3426
Sampling
Sample Survey Project
Topic: Do HKUST undergraduates get in
touch with local social issues?
Students Name (ID): Chan Ka Chun (10191003)
Law Tsz Yan JoJo (1017
Math 3426 Project
Chan Ying Tat (10037130)
Ting Yuk Kwan (10205892)
Chan Man Ming (10063438)
Wong Shing Fai (10029937)
ResidenceHall Satisfaction Survey
BACKGROUND
Every HKUST students has the opportu
Residence Hall Satisfaction Survey
From: Chan Ying Tat
Ting Yuk Kwan
Chan Man Ming
Wong Shing Fai
OBJECTIVE
To find out which hall receives the highest scores
To provide data for Student Housing Offic
T imestamp
What is your
gender?
What is your year
of study?
Have you lived in
one of Hall I-V in
HKUST from 2010
fall semester to
2012 spring
semester?
Which hall have
you lived in?
Which type of
room
MATH 3426:
SAMPLING
2012 Final Examination
Formula sheet.
*
1
N2
V ar(st ) =
y
Ni2 V ar(i ) =
y
i=1
L
1
N2
y
V (st ) =
n
L
Ni2
i=1
n=
ni =
n=
ni =
ni = n
n
p
V (st ) =
1
N2
N 2D +
L
i=1
Ni2
B2
2
z/2
L
Extended Formula Sheet for MATH 3426
Simple Random Sampling
(i)
Estimation of Population Mean
(ii)
Estimation of Population Total
(iii)
Estimation of Population Proportion
(iv)
Comparing Estimates
Str
MATH3426:
Sampling
Answer Keys to Assignment 4
HU Jianchang
1.
r=
y
2
=
= 0.2174
x
9.2
1 s2rx
y
(1 f )
2
() n
x
1 N n 1
=
()2 N n n 1
x
V ar(r) =
n
n
2
yi + r 2
i=1
n
x2 2r
i
i=1
xi y i
i=1
Therefore,
MATH3426:
Sampling
Answer Keys to Assignment 2
HU Jianchang
Ni
.
N
ni
n
=
1
=
N
L
1. Under proportional allocation, we have
yst
Therefore,
Ni yi
i=1
L
1
ni
j
1
ni
ni
i=1 n
j
1
N
=
Ni
i=1
yij
L
=
1L
=
MATH3426:
Sampling
Answer Keys to Assignment 5
HU Jianchang
1. (1).The estimate of the population is
c =
yi /
mi = 34957/678 = 51.56
Since M is unknown, the M must be estimated by m.
m=
mi /n = 678/25