MA6207
AP Statistics
Tutorial 4 Suggested Solution:
1. 10.65(a)
The histogram shows that the distribution is slightly skewed to the right, but the Normal distribution
is reasonable.
1. 10.65(b)
Step 1: Parameter
We are interested to find , the process mea
MA6207
AP Statistics
Name: _ (
) Date: _
NOTES SET 1: EXPLORING DATA
This set of notes is to be used together with Chapter 1 of the textbook, The Practice of Statistics
(Third Edition) by Yates, Moore & Starnes.
Introduction
Data can be organized and arra
MA6207
AP Statistics
Name: _ (
) Date: _
NOTES SET 2:
This set of notes is to be used together with the textbook, The Practice of Statistics (Third Edition)
by Yates, Moore & Starnes.
Introduction
Data must be collected according to a well-developed plan
MA6207
AP Statistics
Name: _ (
) Date: _
NOTES SET 3
This set of notes is to be used together with the textbook, The Practice of Statistics (Third Edition)
by Yates, Moore & Starnes.
Introduction (page 617 618)
Given the following scenarios:
How long can
MA6207
AP Statistics
Name: _ (
) Date: _
NOTES SET 4 add-on: Paired t procedure
This set of notes is to be used together with Chapter 10, The Practice of Statistics (Third Edition)
by Yates, Moore & Starne. It is to be read before example 10 on page 5.
Pa
MA6207
AP Statistics
Name: _ (
) Date: _
NOTES SET 4
This set of notes is to be used together with Chapter 10, 12 and 13 of the textbook, The Practice of
Statistics (Third Edition) by Yates, Moore & Starnes.
Introduction
In MA5107, we learnt about the pri
MA6207
AP Statistics
Name: _ (
) Date: _
NOTES SET 5:
This set of notes is to be used together with Chapter 14 and 15 of the textbook, The Practice of
Statistics (Third Edition) by Yates, Moore & Starnes.
Introduction
This section is to be used together w
MA6207
AP Statistics
Name: _ (
) Date: _
REVISION EXERCISE 1 with solutions (Notes Set 1, 2 and 3)
1. Consider the sampling distribution of a sample of size 100 obtained by simple
random sampling from a very large population. The population is highly skew
MA5107
Statistics
Name: _ (
) Date: _
TUTORIAL & ASSIGNMENT 6
Tutorial Questions (Discuss on _)
1.
For each of the following statements about correlation, explain if there is anything wrong.
(a)
(b)
There is a high correlation between gender of Singaporea
MA5107 Tutorial 5 Suggested Solution
1(a)
H 0 : = 500
H a : < 500 ,
where is the mean life-time of Bunny batteries.
1(b)
Inference makes no sense as we have data of all students in his class.
1(c)
The students in our class is not an SRS of all Singaporean
MA5107 Assignment 6 Suggested Solution
(a)
There is a positive association between the number of years since 1990 and
number of subscribers. The relationship between the number of years since 1990 and
number of subscribers is strong and nonlinear.
Let y =
MA5107
Statistics
Name: _ (
) Date: _
JOURNAL
Mathematics is all around us and the concepts you learnt in this module is often applied in our
daily lives. Read the attached articles and using what you have learnt in the module, apply the
concepts learnt a
MA5107
Statistics
Name: _ (
) Date: _
REVISION EXERCISE 1
Instructions: Attempt the questions on your own first and the answers will be available
on Espace next week.
PERMUTATION AND COMBINATION
1.
Find the number of permutations of the word MATHEMATICS t
MA5107
Statistics
REVISION EXERCISE 2 SUGGESTED SOLUTION
Sampling Distribution
1(a)
To be a simple random sample, every possible group of 25 has to be equally likely to be
selected, and this is not true here. For example, if there are 40 students who alwa
MA5107
Statistics
Name: _ (
) Date: _
REVISION EXERCISE 2
Instructions: Attempt the questions on your own first and the answers will be available on
Espace next week.
SAMPLING DISTRIBUTION
1.
(a)
(b)
To obtain a sample of 25 students from among the 500 st
MA5107
Statistics
REVISION EXERCISE 3 SUGGESTED SOLUTION
(Gentle Reminder: All INTERMEDIATE WORKINGS, LEAVE TO 5 d.p OR MORE,
FINAL ANS, LEAVE TO 3 d.p! ALL PLOTS HAVE TO BE LABELLED PROPERLY
TOO)
MA6104 2009 Test 2
1
x = 57
2
sx =
( x x )2 = 225
n 1
2a
MA5107
Statistics
Name: _ (
) Date: _
REVISION EXERCISE 3 (Past Year Questions)
MA6104 2009 Test 2
1
An aptitude test for deep-sea divers produces scores which are normally distributed on a
scale from 0 to 100. A random sample of 160 divers were assessed,
MA5107
Statistics
Name: _ (
NOTES SET 7:
) Date: _
RELATIONSHIP BETWEEN TWO VARIABLES
Introduction
So far we have been concerned with analyzing data associated with a single variable, but many
statistical investigations have to do with the relationship be
MA5107
Statistics
MA5107 Tutorial 3 Solution
Continuous Random Variable Tutorial
1(a)
Since
is
X
a
continuous
random
variable,
we
have
f ( x) dx = 1 ,
all x
1
i.e kx dx + kx dx = 1 .k = 4/3.
0
5
1
4 1 4
4 1 1
4 x = 3 0 4 16 = 0.02083
3
2
1(b)
P ( X > 2
MA5107 Tutorial 4 Suggested Solution
Sampling Design Questions
1(a)
Assign 4-digit identification number to the students in the list. i.e. assign 0001 to the 1st
student, 0002 to the 2nd student, etc and 4000 to the 4000th student on the list.
Take consec
Subject
marge #/ _ MT/oo/. “A Date:
(*6) C W: m it +._3_5
| .
Sic/be RT“: W * I
75% 4,43% Céﬁl
Cu 357 _— EMHA’Q
C : 325x~5000fﬂ§i72
C : Hit/59f.
200
/i 213-: W‘Xed (709/ and
9%! 00915 £471 CHEW. A Subject: ﬁg