SULIT
Mathematics
Kertas 1
Ogos 2015
1449/1
BAHAGIAN PENGURUSAN SEKOLAH BERASRAMA PENUH
DAN SEKOLAH KECEMERLANGAN
https:/cikguadura.wordpress.com/
PENTAKSIRAN DIAGNOSTIK AKADEMIK SBP 2015
PERCUBAAN SIJIL PEPERIKSAAN MALAYSIA
MATHEMATICS
Kertas 1
1
1
Jam
4
8. How many different simple random samples of size 8 can be selected from a
population consisting of 70 people? (you may use the combinations)
9. A lottery game named Mega millions let a player choose a set of 5 numbers from
a set of and another set of 1
and then to increase its production. Therefore, you randomly select 875 car owners
looking to buy compact and interval for the true percentage of all compact and
mid-size GM car buyers that would consider buying a volt?
b. When you meet with the CEO after
I earned were normally distributed with a mean of 500 and a standard deviation of 50. Therefore,
statistics. 2. Is the assumption of homogeneity of
ance met? Is the ANOVA test significant at the .01 level? 3. Do a post
hoc analysis, if justified. Ask for
TABLE OF CONTENT
INTRODUCTION
1
TYPES OF PROBABILITY SAMPLING
2.1 SIMPLE RANDOM SAMPLING
2-3
2.2 SYSTEMATIC RANDOM SAMPLING
3-4
2.3 STRATIFIED SAMPLING
2.4 CLUSTER SAMPLING
4-5
5-6
1.0 INTRODUCTION
PROBABILITY SAMPLING
A probability sampling method is any
50
60
70 80
90
Solution: use
60 70
80
90
50
70 80
90
Quantiles for tw ins$Sample2
50 60 70 80 90 100
50
70
90
Quantiles for tw ins$Sample1
70
80
90
Logistic QQ - Sample 2
60
60
70
80
90
Weibull QQ - Sample 2
50 60
Q u a n tile s fr o m " lo g is tic " d i
Homework # 8
CDF of X:
Let U=F X ( x )
4 x
F X ( x )=1e
X=
1
log ( 1U ) , where
4
Below if a histogram of generated data:
0 U 1
300
200
0
100
F re q u e n c y
400
500
Generated Exponential(4) Sample,
0.0
0.5
1.0
1.5
2.0
Simulated Observations
Below is Q-Q
Homework #10
Let
f ( y , ) be joint pdf of Y & f ( y , ) is bivariate normal with parameters:
, 2 , , 2 ,
=
Where
COV ( y , )
Var ( y ) Var ( )
From property of bivariate normal distribution, random variable
y
distributed, with the following mean and
Homework # 5
Solution:
1. Shift y variable by 1:
y
f Y ( y )=P ( Y = y ) =(1 p) p
2. Express unknown parameter p as:
q=1 p , then:
1
1
f ( v )= =
= (a q y )
p 1q y=0 y
3. Let:
where:
for
y=0,1,2,3 .
y
f Y ( y )=P ( Y = y ) =(q) (1q)
a y =1 y=0,1,2,3 .
4.
Homework # 6
Problem # 1
a. Create a histogram of Xi + Yi and a histogram of Wi (overlaid on the first histogram). Comment
on your findings. [2 points]
Answer/Discussion:
Since the beta parameter is different for W, the distributions of X+Y is different f
bidders must specify how long the project will take. There will be a significant
penalty for finishing late. One potential contractor determines that the average
time complete a project of this type is 32 weeks with a standard deviation of 7
weeks. The ti
collected from a random sample of SPSS customers asking about their satisfaction
with the software, service, and other features, and some background information
on the customer and their company. 1. One variable in the customer survey asked
about agreemen
a reference list for the citations you use.
Post HIS101 unit 4.1 & 4.2 Discussion latest 2016 august
4.1 Discussion
Debate with your classmates whether the dynastic cycle is unique to China or can
it be connected to other civilizations throughout history.
Make sure to use proper APA format for all citations provided and include a
reference list for the citations you use.
Post HIS101 unit 2 Discussion latest 2016 august
Choose a civilization from ancient China (Shang; Zhou; Han) and one from India
(Harrapan
a PASW Statistics data file from a survey done on the general adult
population. Investigate how the number of siblings (sibs) varies by
highest degree (degree). Ask for appropriate statistics. 2. Is the
assumption of homogeneity of variance met? Is the AN
A game charges $1.00 to play and pays $4.00 if a card drawn from a well shuffld
deck such as above is a face card, other wise the the player loses the money. Find
the expected expected value of the gain for this player.
You may fill the following table to
WITH TWO DECIMALS: Will the Volt be successful or go the way of the
Oldsmobile and the Pontiac? That is the question the CEOs wants you to evaluate
before GM commits funds to design the next generation of Volt and then to
increase its production. Therefor
that the professors response to both questions is yes, find the probability that two of coins
turned up heads?
Last semester in the undergraduate course I was teaching I decided that I would curve the course
and, thus, I had to determine where the break i
the same semester exam in Algebra for so many years that the resulting
distribution for test scores is a normal one. The scores from this years Spring term
have a mean of 74 (out of 100 points) and a standard deviation of 6. The teacher
grades according t
view the distributions of these two variables by gender. Are they similar or
different? Do you see any problems with doing a t test? 2. What do you conclude
about mean differences by gender? 3. Create an error bar chart for each variable by
gender. Is the
to use proper APA format for all citations provided and include a reference list for the citations
you use.
Post HIS101 unit 5 Discussion latest 2016 august
Review and read current events articles from reputable news sources that are highlighting Sunni
an
What is the probability that there will be one defect in a random sample of 24?
What is the probability that there will be less than seven defects in a random
sample of 24? 4. An industrial oven used to cure sand cores for a factory
manufacturing engine b