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 (10172497)
Chan Yuen Ling (10215172)
Date of submission: 10/
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 opportunity to live the halls in HKUST. The feedback
from the
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 Office and stud
ent committees to improve the quality of the
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 did you live
in?
I prefer to live in a
single room.
4/
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
i=1 Ni i ci
L
i=1 Ni i / ci
2
N 2 V + L Ni i
i=1
Ni i
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
Stratified Random Sampling
(i)
Estimation of Population Me
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, an approximate 95% C.I. would be
r z V ar(r) = 0.2174
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
=
n i=1
=y
yij
yij
j
2.
L
f (n1 , . . . , nL , ) = V ar(s
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 = 27.12
N n 1
V (c ) =
(yi c mi )2
2n1
N nm
N n 2
=
s