NJIT HONOR CODE

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.

 

Mathematics 105-101:

Elementary Probability and Statistics

FALL 2005

 

Course Schedule Link

   Instructor:  Prof. Dhar

   Prerequisite: Math 104 with a grade of C or better, or placement by performance on standardized entrance examinations.

   Textbook: Elementary Statistics by Mario F. Triola, 9th Edition, Addison Wesley.

   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 %

 

   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.

   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

   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

   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

   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)

   Review for Exam 1:

   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

   Exam 1:  October 10, 2005

   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

   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

   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

   Review for Exam 2:  October 31, 2005

   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

   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

   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)

   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

   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

   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

   Review for Final Exam

 

 

FINAL EXAM WEEK:  DECEMBER  15 - 21, 2005

 

 

Prepared By:  Sunil Dhar

Last revised:  August 15, 2005