All Students should be aware
that the Department of Mathematical Sciences takes the NJIT Honor code very
seriously and enforces it strictly.; This means there must not be any forms of
plagiarism, i.e., copying of homework, class projects, or lab assignments, or
any form of cheating in quizzes and exams.; Under the Honor Code, students are
obligated to report any such activities to the Instructor.
Elementary
Probability and Statistics
FALL
2005
ô
Instructor:
Prof. Dhar
ô
Prerequisite: Math 104 with a grade of C or
better, or placement by performance on standardized entrance examinations.
ô
Textbook:
Elementary
Statistics
by Mario F.
Triola, 9th Edition, Addison
Wesley.
ô
Grading
Policy: Your final grade in Math 105
will be determined as follows:
±
Homework
and Quizzes: |
25
% |
±
2
Exams (20% each): |
40
% |
±
Final
Exam: |
35
% |
ô
Homework
Policy:
Assignments given below will
be used to determine what homework you have
to complete. Assignments will also be used to create the quizzes (which may not
have exactly the same numbers as in the textbook problems). Some of the assigned homework
problems will be graded. Solution to all
homework problems and quizzes will be provided promptly. The more exercises you do, whether they
are assigned or not, the better prepared you will be. If the course is getting difficult for
you do not close your eye to it, see me right away during office hours or
contact me via e-mail. Please do
come to my office hours to work out problems and find out how you are doing in
the course. Work hard and you will
feel comfortable with the course and enjoy learning the material.
ô
Course
Policy: Each week, you will be tested either on a short in-class
QUIZ (5-10 minutes) or you will be asked to turn in your HOMEWORK. Please note that homework assignments
are due one week from when they are assigned. The assignments described below
are due the following week either as hand in homework or as in class quiz. The
quizzes and homeworks will test your knowledge on the material covered on the
previous week and the corresponding assignments. Your best 10 Homework / Quiz
scores will be selected to compute 25% of your final grade. There will be no
make-up for the quizzes or homeworks.
A scientific calculator with statistics mode is need for the
course. Standard calculators with
statistics mode will be permitted on exams and quizzes. To do your
homework you can use Data Analysis tools from Microsoft Excel, which is an
Add-in in Excel. This tool in Excel is available on all PC labs on
campus. You could also use the Web-based statistical software statcrunch
(http://www.statcrunch.com/). Lastly, you could use the statdisk
program which is in the directory SOFTWARE\STATDISK in the CD which comes with
your textbook. The data accompanying the textbook are in the DATASETS\EXCEL
subdirectory or in the DATASETS\TEXTFILE subdirectory in the CD that accompanies
the textbook. These computing techniques will be demonstrated through computers
used in smart classrooms.
Class
Policies:
Attendance and Participation: Students must attend all classes. Absences from class will inhibit your ability to fully participate in class discussions and problem solving sessions and, therefore, affect your grade. Tardiness to class is very disruptive to the instructor and students and will not be tolerated.
Makeup Exam
Policy: There will be no makeup
exams, except in rare situations where the student has a legitimate reason for
missing an exam, including illness, death in the family, accident, requirement
to appear in court, etc. The student must notify the Math office and the
Instructor that he/she will miss an exam. In all cases, the student must present
proof for missing the exam, e.g., a doctor's note, police report, court notice,
etc., clearly stating the date AND times.
Cellular
Phones: All cellular phones and
beepers must be switched off during all class times.
Course
Outline and Homework Assignments:
Week
1 (9/12
– 9/16)
Chapter 1: Introduction to Statistics
2.1:
Overview
(Statistics)
2.2:
Frequency
Distributions
ô
Assignment 1:
Page 32: 1, 5, 7, 8
Page
44: 4, 8, 13
± Please hand in
these assigned problems as homework. Must show all work for full
credit.
Week
2
(9/19
– 9/23)
2.3:
Visualizing
Data
2.4: Measures of Center
2.5: Measures of Variation
ô
Assignment 2:
Page 55: 6
page 56: 8, 20(Data Set 23,
Appendix B)
page 58:
26(Data Set 9, Appendix B), 28(Data Set 25, Appendix B)
page 59: 34;
page 69: 4
page 72:
24
page
88: 4(Data
Set 1, Appendix B)
page 90: 26, 27
± Please hand in
these assigned problems as homework. Must show all work for full
credit.
Week
3 (9/26
– 9/30)
2.6:
Measures of Relative
Standing
2.7:
Exploratory Data Analysis
(EDA)
3.1: Overview (Probability)
3.2:
Fundamentals
ô
Assignment 3: Page 100: 4, 8, 10
Page 101: 26, 32, 36, 38
Page 109: 4
Page 128: 6
Page 129: 10, 14
Page 130: 17, 20, 21, 22
Page 131: 24
± There will be an
in class quiz on these assigned problems (do NOT hand them
in).
Week
4 (10/3
– 10/7)
3.3:
Additional
Rule
3.4:
Multiplication
Rule
3.5:
Multiplication Rule
(Complements and Conditional probability)
ô
Review
for Exam
1:
ô
Assignment 4: Page 138: 4, 6, 8, 9 to 12;
Page 139:
22, 26;
Page 146: 2, 4
Page 147: 8(b), 10, 13
Page 148: 16, 18
Page 149: 26
Page 154: 4, 8, 10, 12,
14
Page 155: 16
Page
156:
25
± Please hand in
these assigned problems as homework. Must show all work for full
credit.
Week
5 (10/10
– 10/14)
3.7: Counting
ô
Exam
1: October
10, 2005
ô
Assignment
5: Page 169:
10, 14, 15
Page 170:
17, 18
Page 171:
28, 31
± There will be an
in class quiz on these assigned problems (do NOT hand them
in).
Week
6 (10/17
– 10/21)
4.1:
Overview (Probability
Distribution)
4.2:
Random
Variables
4.3:
Binomial Probability Distributions
ô
Assignment 6: Page 192: 2, 4, 6
Page 193: 12, 13
Page 194: 15
Page 195: 20, 24
Page 205: 25, 29
Page 206: 32
± There will be an
in class quiz on these assigned problems (do NOT hand them
in).
Week
7 (10/24
– 10/28)
4.4:
Mean, Variance, and
Standard Deviation for the Binomial Distribution
5.1:
Overview (Normal
Probability Distribution)
5.2:
The Standard Normal
Distribution
ô
Assignment 7: Page 210: 8
Page 211: 12, 14
Page 238: 10, 14, 18, 19, 30
Page 239:
38,
43
± Please hand in
these assigned problems as homework. Must show all work for full
credit.
Week
8 (10/31
– 11/4)
5.3:
Application of Normal
Distribution
ô
Review
for Exam 2: October
31, 2005
ô
Assignment 8: Page 246: 6, 8
Page 247: 12, 14
Page 248: 18
Page 249: 24
± There will be an
in class quiz on these assigned problems (do NOT hand them
in).
Week
9 (11/7
– 11/11)
5.4:
Sampling Distributions and
Estimators
5.5:
The Central Limit
Theorem
5.6:
Normal as Approximation to
Binomial
ô
Assignment 9: Page 257: 7
Page 258: 10
Page 267: 2, 5
Page 268: 8, 10
Page 279: 13, 15
Page 280: 21, 22
± There will be an
in class quiz on these assigned problems (do NOT hand them
in).
Week
10 (11/14
– 11/18)
6.1:
Overview (Estimates and
Sample Sizes)
6.2: Estimating a Population
Proportion
6.3: Estimating a Population Mean:
population
standard deviation sigma known
ô
Assignment 10: Page 312: 3, 10, 14, 20, 21
Page 313:
27, 28
Page 314: 33, 35
Page 328: 14, 22
Page 329: 26
± There will be an
in class quiz on these assigned problems (do NOT hand them
in).
Week
11 (11/21
– 11/25)
6.4:
Estimating a Population
Mean:
population standard
deviation sigma NOT known
6.5:
Estimating a Population
Variance
7.1:
Overview (Hypothesis
Testing)
ô
Assignment 11: Page 343: 7, 8, 10, 13
Page 344: 18
Page 345: 19
Page 355: 2, 4, 5
Page 356: 13
Page 357: 17
± There will be an
in class quiz on these assigned problems (do NOT hand them
in).
Week
12 (11/28
– 12/2)
7.2:
Basic of Hypothesis
Testing
7.3:
Testing a Claim About a
proportion
7.4:
Testing a Claim About a Mean: population
standard deviation sigma known
ô
Assignment 12: Page 386: 6, 9, 10, 14, 16
Page 387:
24, 26, 31
Page 395:
1
Page 396: 3
Page 404: 1 to 4
Page 405: 10, 11
± There will be an
in class quiz on these assigned problems (do NOT hand them
in).
Week
13 (12/5
– 12/9)
7.5:
Testing a Claim About a Mean: population standard
deviation sigma NOT known
7.6:
Testing a Claim About a Standard Deviation or Variance
ô
Assignment 13: Page 415: 1, 2, 3, 6, 8, 14
Page 416:
16, 21
Page 418:
28
Page 424:
3, 7
± There will be an
in class quiz on these assigned problems (do NOT hand them
in).
Week
14 (12/12
– 12/23)
9.1:
Overview (Correlation and
Regression)
9.2:
Correlation
9.3:
Regression
ô
Review
for Final
Exam
FINAL
EXAM WEEK:
DECEMBER 15 - 21, 2005 |
Last revised: August 15,
2005