Mathematics 2101 B

Introductory Statistics

Spring Semester 2008

10:00–10:50 MWF

Instructional Complex 220

 

Instructor:

Dr.  S. Karmakar

 

Office:

Instructional Complex 228

 

Office Hours:

MWF  11:00–1:00

 

M        5:00–6:00

F        2:00–3:00

 

And by appointment

 

Office Phone:

770 358-5833

 

E-mail:

s_karmakar@gdn.edu

 

Web Page:

www.gdn.peachnet.edu/faculty/s_karmakar

 

Prerequisite:

MATH 1101, MATH 1111, or MATH 1113

 

Credit:

3 semester credit hours

 

Calculator:

A graphing calculator is required.  A Texas Instruments TI-83 or higher or equivalent is recommended.

 

Text:

Triola, Mario F.  2007.  Essentials of Statistics.  3nd ed.  Pearson Education Inc./Addison-Wesley, and Co.  ISBN: 0-321-43425-0.

 

 

Course Description

 

This course is an introduction to non-calculus based statistics. Emphasis is on the applied rather than the theoretical side of statistical analysis. This course will help you become a more thoughtful, critical consumer of quantitative information, and a clear, effective interpreter and communicator of quantitative information. These objectives are achieved through an intensive but appropriate use of graphing technology. A Texas Instrument (TI-83 Plus) is recommended. I will be using a TI-83 Plus in class. You are expected to bring your own calculator to class and to all tests and the final exam.

 

This course will emphasize student preparation, critical thinking, and problem solving.  To do well in the course, you must study (not just read) the assignment ahead of time and prepare questions, do suggested problems from the text, and prepare for test by reviewing those problems worked in class and at home.  Over the course of the semester, you should devote about two hours of outside work for each hour in class.  Introductory Statistics demands your time and effort!  First, study the examples worked in class as well as those in the textbook, then practice, practice, practice problems.

 

This course, as many other courses, will emphasize the written communication of ideas to others.  In this course, you will be communicating mathematical ideas.  Just as it is important in an English course to use the proper format in your essays and term papers, it is important to use proper form when communicating mathematical ideas.  You will learn how to write mathematics so that it can be understood by others.  You should carefully study how mathematics is written in class as well as how it is written in the textbook.  You should pattern your writing after these sources.

 

 

Course Objectives

 

This objective is directed toward the following general education expected outcome of the college:

 

Mathematical Skills: Students will demonstrate a basic knowledge of the fundamentals of college-level mathematics.

Upon completion of Introductory Statistics, students should have an understanding of:

            1.   Describing and comparing data.

            2.   Probability and probability distributions.

            3.   Estimating parameters.

            4.   Hypothesis testing.

            5.   Correlation and Regression.

Method of Evaluation

 

There will be four (4) in-class tests given during the semester. There will be NO make-up tests given except for sickness and other emergencies in which case proper documentation is needed and the make-up test must be taken within two days of the missed test. There will also be a comprehensive Final Examination given on Friday, May 2, 2008 at 1:30 pm.  Gordon College policy states the Final Examinations must be taken at the scheduled time.  Therefore, students are not permitted to take the Final Examination early.  Please make your plans accordingly.

The student’s final grade will be computed as follows:

Tests

80%

Final Exam

  20%

TOTAL

100%

The following grading scale will be used.

              89.5 or above      A                          59.5 to 69.49       D

              79.5 to 89.49       B                          Below 59.5          F

              69.5 to 79.49       C

Class Procedures

 

Attendance: Attendance at class is important.  I will take attendance by passing an Attendance Sheet for you to sign.  If your signature is not beside your name for a particular day, you are considered absent.  It is your responsibility to make sure you sign the Attendance Sheet.  Students absent two consecutive days without contacting me may be withdrawn from the course.  Students are responsible for every instruction, every change in the syllabus, and all material covered in class whether or not they are present.  Students who enroll in the course late are responsible for material covered before they enrolled.

 

Working Problems: Most students will benefit by working many, many problems for practice.  On the Tentative Course Outline is a list of suggested problems for each section covered.  These are intended to give the student practice in specific concepts that are taught in class.  The problems will not be graded.  However, I strongly encourage you to work them to better prepare for the tests.  I will use approximately the first ten minutes of class to answer any questions about the homework problems.  Math is not a spectator sport!

Group Work: I encourage students to work together on homework.

Academic Honesty: Each student must do his or her own work on exams without any assistance from any outside source not specifically authorized by me.  The student handbook details school policies on academic honesty.

Classroom Etiquette: Students are expected to treat the instructor and other students with respect.  Please refrain from the following during class time:

      1.     Talking with other students (other than during classroom or group activities).

      2.     Leaving class early (other than an emergency).

      3.     Leaving the desk to sharpen a pencil in the middle of a lecture.

      4.     Consistently late coming to class.

      5.     Pagers beeping during class.

      6.     Placing or receiving cellular phone calls during class.

 

Office Procedures

 

When you come to my office for help, please be prepared by doing the following.

      1.     Bring your textbook, your calculator, and you class notes.

      2.     Make sure you have read the section in the text, read the class notes, and studied the examples.

      3.     Be prepared to show me at least two odd-numbered problems, from the section, that you have worked.

      4.     Bring your incomplete or incorrect solution to each problem about which you have a question.

      5.     Ask for help as early as possible.  Don’t wait until the day of a test!  I will NOT help you if you come for help the day of the test!!

 

 


Tentative Course Outline

MATH 2101 A

Spring Semester 2008

 

Date

Sections

Suggested Homework Problems

Mon, January 7

1.1: Overview

1.2: Types of Data

 

1–23 odd

 

Wed, January 9

1.3: Critical thinking

1-25 odd

Fri, January 11

1.4: Design of Experiments

1-29 odd

Mon, January 14

2.1: Overview

2.2: Frequency Distributions

 

 

1-23 odd

Wed, January 16

2.3: Histograms

1-15 odd

Fri, January 18

2.4: Statistical graphics

1-19 odd

Mon, January 21

Martin Luther King, Jr. Day

College Closed

 

Wed, January 23

3.1: Overview

3.2 Measure of Center

 

1-25 odd

 

Fri, January 25

3.3: Measure of Variation

1-33 odd

Mon, January 28

3.4: Measures of Relative Standing

1-25 odd

Wed, January 30

3.4: (concluded)

 

Fri, February 1

3.5: Exploratory Data Analysis (EDA)

Review

1-11 odd

Mon, February 4

TEST I

 

Wed, February 6

4.1: Overview

4.2: Fundamentals

 

 

1-31 odd

Fri, February 8

4.3: Addition Rule

1-21 odd

Mon, February 11

4.4: Multiplication Rule: Basics

1-19 odd

Wed, February 13

4.6: Counting

1-35 odd

Fri, February 15

5.1: Overview

5.2: Random Variables

 

 

1-21 odd

Mon, February 18

5.3: Binomial Probability Distributions

1-35 odd

Wed, February 20

5.4: Mean, Variance, and Standard Deviations for the Binomial Distribution

1-19 odd

Fri, February 22

Review

 

Mon, February 25

TEST II

 

Wed, February 27

6.1: Overview

6.2: The Standard Normal Distribution

 

1-39 odd

Fri, February 29

6.2 Contd.

 

March 3 – March 7

SPRING BREAK  — No Class

 

Mon, March 10

6.3: Applications of Normal Distributions

1-23 odd

Wed, March 12

6.4: Sampling Distributions and Estimators

1-13 odd

Fri, March 14

6.4 Contd.

 

Mon, March 17

6.5: The Central Limit Theorem

1-19 odd

Wed, March 19

7.1: Overview

7.2: Estimating a Population Proportion

 

 

1-43 odd

Fri, March 21

7.3: Estimating a Population Mean: σ Known

1-37 odd

Mon, March 24

7.4: Estimating a Population Mean: σ Not Known

1-25 odd

Wed, March 26

7.5: Estimating a Population Variance

 

1-23 odd

Fri, March 28

Review

 

Mon, March 31

Review

 

Wed, April 2

Test III

 

Fri, April 4

8.2: Basics of Hypothesis Testing

1- 43 odd

Mon, April 7

8.3: Testing a Claim About a Proportion

1-23 odd

Wed, April 9

8.4: Testing a Claim About a Mean: σ Known

1-19 odd

Fri, April 11

8.5: Testing a Claim About a Mean: σ Not Known

1-27 odd

Mon, April 14

8.6: Testing a Claim about a Population Variance or Standard Deviation

1-17 odd

Wed, April 16

10.2: Correlation

1-21 odd

Fri, April 18

10.3: Regression

1-21 odd

Mon, April 21

Review

 

Wed, April 23

Test IV

 

Fri, April 25

Review

 

Mon, April 28

Review

 

Fri, May 2

1:30 – 3:30

FINAL EXAMINATION