MTH2502 - 03 STATISTICS FALL, 2008
Professor: Eugen Radian, Ph.D.
Class Meeting: W 5:30-8:30 pm
Office: SM 124, (650) 508-3539, eradian@ndnu.edu
Office Hours: T 3:30-4:00 pm, W 3:00-3:30pm, 5:00-5:30pm, 9:30-10:00pm, R 4:30-5:30 pm,
and by appointment
Required textbooks: 1. Neil Weiss – Introductory Statistics, 8th edition, Addison Wesley, 2008.
2. David Lund - Student Solutions Manual, 8th edition.
Prerequisites: Math Competency Level 2. MTH1214 or Math Competency Level 3 recommended
Concurrent enrollment In MTH2502L - 03 - EXCEL for Statistics (Sect. 3) is recommended
Course Description:
Descriptive statistics, measures of central tendency and dispersion, probability, random variables, sampling distributions, normal distribution, confidence intervals, hypothesis testing for simple and multiple samples, goodness-of-fit and independence tests, association, correlation and regression.
Course Objectives / Learning Outcomes:
* Understand concepts in Probability and Statistics and their practical applications.
* Develop familiarity with data analysis and interpretation.
* Develop skills of using statistical modeling and analysis to solve real life / practical
problems.
* Strengthen analytical skills and abstract in depth thinking;
Stimulate original thinking.
Resources:
If you have problems with this course, you may get additional help in the Tutorial Center.
Procedures:
1. Homework
Homework will be assigned each class. Solutions for the odd numbered exercises are found in the Student Solutions Manual accompanying the textbook. It is your responsibility to complete correctly the homework. If necessary you can get help in the Tutorial Center. I have a homework review time set aside at the beginning of each class, so bring your questions to that time.
HOMEWORK IS DUE ON THE DAY OF THE NEXT CLASS MEETING AFTER IT HAS BEEN ASSIGNED.
LATE HOMEWORK ASSIGNMENTS WILL NOT BE ACCEPTED IN GENERAL. IF YOU HAVE TO MISS A CLASS MEETING, YOU MUST PLACE YOUR HOMEWORK IN MY OFFICE BOX BEFORE THE CLASS MEETING.
When you solve an exercise, you must show all the steps of the solution, not only the final result. No credit will be given for incomplete solutions, or for results without justification.
Homework turned in MUST indicate on the first page:
Your Name;
Your Major;
Section of Statistics class you are enrolled in;
Date turned in;
Exercise/Problem numbers, chapter, page in the textbook.
HOMEWORK IS DIVIDED IN TWO CATEGORIES: CONCEPTUAL & PRACTICAL HOMEWORK.
THE CONCEPTUAL HOMEWORK IS THE SAME FOR ALL STUDENTS.
THE PRACTICAL HOMEWORK IS BASED ON REAL LIFE EXAMPLES AND USES TECHNOLOGY. THE PRACTICAL HOMEWORK IS SPECIFIC TO YOUR MAJOR.
ONLY 75% OF THE CONCEPTUAL HOMEWORK IS REQUIRED. THIS MEANS THAT IF YOU COMPLETE PERFECTLY 75% OF AN ASSIGNMENT, YOU WILL GET A SCORE OF 100 FOR THAT ASSIGNMENT.
HOWEVER, ALL THE CONCEPTUAL HOMEWORK IS ESSENTIAL TO PREPARE YOU FOR THE EXAMS.
BY SOLVING THE OTHER 25% OF PROBLEMS ASSIGNED IN THE HOMEWORK, YOU GAIN EXTRA POINTS.
BASED ON YOUR MAJOR YOU ARE IN ONE OF THE FOLLOWING 3 CATEGORIES FOR THE PRACTICAL HOMEWORK:
PH1: SOCIAL AND BEHAVIORAL SCIENCES AND ALL MAJORS EXCEPTING NATURAL SCIENCES, COMPUTER SCIENCE AND BUSINESS.
PH2: BUSINESS MAJORS
PH3: NATURAL SCIENCES AND COMPUTER SCIENCE.
2. Reading
The reading assignments in the text are very important, and must be completed BEFORE each class meeting. I advise you to combine individual learning with learning/working in teams / small groups.
3. Class Work
Class work includes explanation of concepts, discussions, and problem solving.
4. Academic honesty
Academic honesty is highly prized at NDNU and will be enforced strictly. Any work which is plagiarized (that is, which is not the student's own work) is not acceptable and will receive a grade of F. In the event that a student copies the work of another student in class during an exam, BOTH students will receive a grade of F on that exam. A second occurrence will result in an F in the course. It is your responsibility to be sure that nobody is copying your work as much as it is to not copy the work of another.
5. Class Behavior
No disruptive behavior of any kind will be tolerated for any reason. However, if anyone will behave inappropriately in class causing any disruption, that student will be invited to leave the class immediately with an unexcused absence.
6. Incomplete grade
Incomplete grades are totally at instructor’s discretion. An incomplete grade may be considered only for students who obtained at least a C grade at Midterm, and who could not complete the work for reasons beyond their control (such as a serious medical condition confirmed by an MD).
Calculators, Software:
You may use a simple calculator to solve the numerical exercises from your homework assignments. Graphing calculators or statistical calculators are not allowed during exams.
You may use EXCEL in the Lab in order to solve some statistical problems. Enrollment in MTH2502L-03 (one unit EXCEL module) is strongly recommended, concurrently with taking this course. This will also help you clarifying more difficult statistical procedures.
Note:
I strongly encourage you to come during my office hours with any problems regarding the course or assignments.
Attendance is mandatory. Missed classes will cause severe problems to your progress. Full preparation for every class is very important to your success.
Grading:
Exams
Make-up Exams will be approved only in very special situations that are beyond your control (hospitalization, serious accidents, etc.). All such situations will have to be documented as required by instructor, and, normally, arrangements with the instructor must be made at least 3 days before the date of the exam.
Regardless of reasons, the approval for a make-up exam is totally at the discretion of the instructor. If you miss an exam, and no make-up was approved, you will get 0 (zero) points for that exam.
DURING EXAMS YOU MAY USE YOUR CLASS NOTES, YOUR HOMEWORK ASSIGNMENTS, AND COPIES OF PAGES WITH “PROCEDURES” FROM THE TEXTBOOK (AS I WILL INDICATE BEFORE EACH EXAM).
YOU ARE NOT PERMITTED TO USE THE ENTIRE TEXTBOOK, THE STUDENT SOLUTION MANUAL OR OTHER MATERIALS.
THE FINAL EXAM IS COMPREHENSIVE FROM THE WHOLE COURSE.
Extra Points (up to 15 points)
You may collect extra points towards your Final Grade as follows:
Final Grade
The Exams will be graded as percent correct.
The final course grade will be calculated using this formula:
FG = 35% Final Exam + 30% Midterm Exam + 15% Conceptual Homework +
10% Practical Homework +10% Class Participation + Extra Points (up to 15)
Letter grades will be assigned on the following basis:
A+ = 100+, A = 93-99, A- = 89-92
B+ = 85-88, B = 80-84, B- = 76-79
C+ = 72-75, C = 67-71, C- = 63-66
D+ = 59-62, D = 54-58, D- = 50-53
F = 0-49.
Tentative Schedule:
Date: Topic & Homework Reading (Ch/Section)
Sept 3 Introduction; Simple Random Sampling
Other Sampling Designs; Experimental Designs 1.1-1.4
HwC: 1.7, 1.9, 1.11, 1.12, 1.15, 1.16, 1.21, 1.22;
1.31, 1.37, 1.41, 1.43, 1.44;
(Use Excel for 1.43b and 1.44b)
1.49, 1.50, 1.51, 1.52, 1.61, 1.63, 1.66;
Sept 10 Variables and Data; Grouping Data; Graphs & Charts
Stem & Leaf Diagrams; Distribution Shapes;
Misleading Graphs 2.1-2.5
HwC: 2.1, 2.7, 2.9, 2.12, 2.13;
2.24, 2.25, 2.27, 2.29, 2.31, 2.32;
2.52, 2.53, 2.55, 2.57, 2.59, 2.66, 2.63, 2.64,
2.65, 2.71;
2.87, 2.91, 2.92, 2.94, 2.96, 2.98, 2.99;
2.116, 2.117, 2.118, 2.119, 2.120, 2.121;
PH1: 2.36, 2.104
PH2: 2.34, 2.103
PH3: 2.35, 2.102
Sept 17 Measures of Center; Measures of Variation
Chebychev Rule and Empirical Rule
Five Number Summary & Boxplots; z-scores 3.1-3.4
HwC: 3.5, 3.7, 3.8, 3.9, 3.12, 3.19, 3.20, 3.22, 3.23,
3.24, 3.29, 3.31;
3.51, 3.53, 3.56, 3.57, 3.73, 3.75, 3.77, 3.78,
3.79, 3.80, 3.82;
3.92, 3.93, 3.94, 3.96, 3.102, 3.103, 3.105;
3.121, 3.123, 3.124, 3.125, 3.131, 3.132,
3.135, 3.136;
PH1: 3.34, 3.38, 3.66, 3.70, 3.108, 3.112
PH2: 3.32, 3.36, 3.64, 3.68, 3.110, 3.111
PH3: 3.33, 3.39, 3.65, 3.71, 3.109, 3.113
Sept 24 Probability Basics; Events; Some Probability Rules
More Probability Rules; Contingency Tables;
Joint & Marginal Probabilities; Conditional Probability;
Multiplication Rule; Independence 4.1-4.6
HwC: 4.7, 4.9, 4.11, 4.12, 4.13, 4.14, 4.17, 4.21;
4.30, 4.33, 4.35, 4.37, 4.39, 4.42, 4.45, 4.47, 4.49;
4.55, 4.58, 4.59, 4.61, 4.62, 4.66, 4.67, 4.68, 4.69;
4.77, 4.78, 4.79, 4.81, 4.83, 4.84, 4.85;
4.93, 4.94, 4.97, 4.98, 4.103;
4.109, 4.111, 4.115, 4.116, 4.119, 4.120, 4.121,
4.127, 4.129;
Oct 1 Normally Distributed Variables;
Areas under the Standard Normal Curve
Working with Normally Distributed Variables;
Assessing Normality; Normal Probability Plots 6.1- 6.4
HwC: 6.3, 6.4, 6.5, 6.6, 6.7, 6.9, 6.11, 6.12, 6.17,
6.18, 6.19;
6.31, 6.32, 6.33, 6.37, 6.38, 6.39, 6.40, 6.41, 6.42,
6.43, 6.44, 6.45, 6.46, 6.47, 6.48, 6.49, 6.50, 6.51,
6.52, 6.53, 6.54, 6.55, 6.57, 6.58, 6.59, 6.60;
6.67, 6.68, 6.69, 6.73, 6.74, 6.75, 6.76;
6.89, 6.90, 6.93, 6.94;
PH1: 6.98
PH2: 6.99
PH3: 6.97
Oct 8 Sampling Error;
Mean & Standard Deviation of the Sample Mean 7.1- 7.3
Central Limit Theorem and Applications
HwC: 7.9, 7.10, 7.11, 7.12, 7.13, 7.14, 7.15;
7.20, 7.21, 7.22, 7.23, 7.30, 7.31, 7.34;
7.48, 7.49, 7.55abc, 7.56abc, 7.57ab, 7.58a;
Midterm Review
Oct 15 MIDTERM EXAM (Ch 1-4; 6,7)
Oct 22 Estimating a Population Mean; Confidence Intervals
for One Population Mean (Std known)
Margin of Error; Confidence Intervals
for One Population Mean (Std unknown) 8.1-8.4
HwC: 8.3, 8.4, 8.5, 8.6;
8.13, 8.14, 8.20, 8.21, 8.23, 8.25, 8.27, 8.29,
8.31, 8.32, 8.36, 8.37, 8.38;
8.53, 8.54, 8.55, 8.56, 8.57, 8.61, 8.62, 8.63, 8.66;
8.73, 8.74, 8.79, 8.81, 8.82, 8.83, 8.85, 8.87, 8.89,
8.91, 8.92, 8.94, 8.99;
PH1: 8.42, 8.103
PH2: 8.43, 8.103
PH3: 8.41, 8.103
Oct 29 Hypothesis Testing; Terms, Errors, Hypotheses
Hypothesis Tests for One Population Mean (Std known);
Power of a Test; 9.1-9.3, 9.4(part)
HwC: 9.5, 9.6, 9.8, 9.11, 9.12, 9.13;
9.23, 9.24, 9.25, 9.26, 9.27, 9.28, 9.29, 9.30, 9.32,
9.37;
9.44, 9.45, 9.46, 9.47, 9.48, 9.49, 9.51, 9.53, 9.54,
9.55, 9.57, 9.58, 9.59, 9.60, 9.61, 9.62;
PH1: 9.68
PH2: 9.69
PH3: 9.67
Nov 5 P-Values
Hypothesis Tests for One Population Mean
(Std unknown) 9.5, 9.6
HwC: 9.96, 9.98, 9.99, 9.100, 9.101, 9.102, 9.103, 9.104,
9.105, 9.107, 9.109, 9.110, 9.111, 9.113, 9.114,
9.115, 9.116, 9.117, 9.118, 9.119, 9.120;
9.133, 9.135, 9.136, 9.137,
9.139, 9.141, 9.142, 9.143, 9.144,
With both methods Critical Values and P value:
9.145, 9.147, 9.148, 9.150;
PH1: 9.126, 9.152, 9.155
PH2: 9.127, 9.153, 9.157
PH3: 9.125, 9.151, 9.156
Nov 12 Inferences for Two Population Means (Stds equal)
Inferences for Two Population Means (Stds not equal);
Paired Samples 10.1-10.3, 10.5
HwC: 10.9, 10.10, 10.11, 10.12, 10.13, 10.14;
With both methods Critical Values and P value:
10.27, 10.28, 10.29, 10.31,
10.33,10.34, 10.35, 10.36, 10.37, 10.38,
10.39, 10.41, 10.42;
With both methods Critical Values and P value:
10.57, 10.59, 10.61,
10.63, 10.65, 10.66,10.67,
10.69, 10.70;
10.115, 10.116, 10.117, 10.118,
With both methods Critical Values and P value:
10.119, 10.121, 10.122, 124,
10.125, 10.128;
PH1: 10.45, 10.80, 10.135
PH2: 10.47, 10.81, 10.134
PH3: 10.46, 10.82, 10.136
Nov 19 Inferences for One Population Proportion
Inferences for Two Population Proportions 12.1-12.3
HwC: 12.4, 12.11, 12.12, 12.13, 12.14, 12.17, 12.18,
12.19, 12.21, 12.23, 12.27, 12.28, 12.35ab, 12.37a;
With both methods Critical Values and P value:
12.49, 12.52, 12.53,
12.55, 12.56, 12.57, 12.58;
12.66, 12.67,
With both methods Critical Values and P value:
12.71, 12.72, 12.75,
12.77, 12.78, 12.79, 12.80, 12.85, 12.86;
PH1: 12.39, 12.64, 12.88
PH2: 12.41, 12.61, 12.89
PH3: 12.42, 12.62, 12.90
Nov 26 Chi-Square Distribution;
Contingency Tables; Association;
Chi-Square Independence Test 13.1, 13.3, 13.4
Slope Intercept Form of the Straight Line
Simple Linear Regression 14.1, 14.2
HwC: 13.5, 13.6, 13.7, 13.8 ;
13.45, 13.46, 13.49, 13.50, 13.53, 13.55, 13.56;
With both methods Critical Values and P value:
13.71, 13.72, 13.73, 13.78;
14.5, 14.9, 14.13, 14.15,14.23, 14.27;
14.34, 14.35, 14.36, 14.37, 14.38, 14.39, 14.41,
14.43, 14.45, 14.46, 14.51, 14.52, 14.57, 14.59
PH1: 13.79, 14.66, 14.71
PH2: 13.79, 14.67, 14.72
PH3: 13.79, 14.69, 14.70
Dec 3 Coefficient of Determination; Coefficient of Correlation 14.3, 14.4
HwC: 14.80, 14.81, 14.83, 14.89, 14.90;
14.109, 14.110, 14.111, 14.112, 14.113, 14.114,
14.115, 14.117, 14.123, 14.124
PH1: 14.96, 14.134
PH2: 14.97, 14.135
PH3: 14.99, 14.137
Final Review
Dec 10 FINAL EXAM
FINAL EXAM IS COMPREHENSIVE. COVERES: Ch 1-4, 6-10,12-14.