# Mathematics

## Math 130: Introductory Statistics

Instructor: Terry R. Witzke, 608-788-4875

Email: trwizke@charter.net

Fall Semester 2005

Room 316, MurphyCenter, Monday, Wednesday, Friday, 1:10-2 P.M.

Catalog Description:  An introductory course which deals with the organization and processing of various types of data, normal and binomial distributions, estimation theory, hypothesis testing, correlation and regression, and analysis of variance. Pre-requisite: acceptable placement exam (indicating readiness for College Algebra) or grade of C or higher in MATH 001 (Introductory Algebra) or its equivalent (i.e. one year of H.S. algebra).

TEXTElementary Statistics, Mario Triola, 9th Edition, Addison-Wesley, 2004.  Resources associated with this text are abundant.  A 9th edition text usually reflects wide-spread use and is a measure of its survivability.  Hallmark features and supplements are listed in the preface on pages xii-xv.

General Education Core Abilities:

1. Thinking: Students engage in the process of inquiry and problem solving that involves both critical and creative thinking.

(a) Students will reason deductively by learning general principles, which are then applied to specific problems.

(b) Students will reason inductively by studying examples, seeing the common characteristics, and broadening the solution to the generic case.

(c) Students will learn to use the statistical process as one of the means of answering a question or supporting a position.

2. Life Value Skills: Students analyze, evaluate and respond to ethical issues from an informed personal value system.

(a) Students will learn of some classic examples of the misuse of statistics and its consequences.

(b) Students will acquire an appreciation for the importance of honesty in the presentation of all, not just favorable, outcomes of statistical research.

3. Communication Skills: Students communicate orally and in writing in an appropriate manner both personally and professionally.

(a) Students will read text and reference materials outside of class.

(b) Students will observe examples and discuss questions and solutions ion class.

(c) Students will communicate solutions to statistical problems in writing on assignments, quizzes, exams, and course projects in appropriate statistical format.

Specific Course Objectives:

1.  The student shall understand the basic concepts of collecting and organizing sample data.

2.  The student shall understand the use of sample data in making estimates and drawing conclusions about a population.

3.  The student shall gain an understanding of the role of statistics in many areas of professional life.

4.  The student shall develop an increased level of comfort with quantitative reasoning.

5.  The student shall gain an appreciation of the ethical dimension of statistical analysis.

COURSE NOTES & PROCEDURES:

Attendance:  This will be a factor in determining the course grade as you will be given one point for each class that you attend.  There is a positive relationship between attendance and concepts learned and therefore it is very important for you to attend class on a regular basis.  Please keep me informed via e-mail or telephone if you are unable to attend class.  The detailed schedule on the syllabus should allow you to work on your own when necessary.

Calculators:  It is very important to have a calculator with statistical functions for this class.  Many are available on the market.  For those of you who plan to take additional math courses it may be worth the investment of \$90-\$100 to purchase a TI 83 Plus or a TI 84 Plus.  In addition to statistical functions these are also graphing calculators.  We will also use MS Excel to analyze data in this course.  Campus computers have this software program.  From time to time the class will be scheduled to meet in one of the Windows computer labs so that you will be able to learn to use this program for statistical analysis.

HOMEWORK: Hopefully, learning should go on during the class meetings, but much of what you learn will take place when you do the homework. If you wish to succeed in this course it is imperative that you find the time to do enough homework for each class so that you stay on top of things – that you understand the material all the way along.  If you allow yourself to get even a little bit behind you will be digging a hole for yourself. The schedule that follows suggests assignments from each section in the book, but if you want to take this course in a mature manner, you will do enough problems in each section to make sure you understand the material.  You are encouraged to find someone in the class with whom you can work together on the assignments.  I have included my email and my phone numbers – please make sure you contact me if you are having trouble with some concept.

EXAMS:  You are not expected to memorize formulas - you will be permitted to use the “card” in the text and any tables at the back of the book you find necessary. You may also use notes for each exam.  There will be four exams and perhaps some short ten point quizzes.  Exams will be given after Chapters 1-2, Chapters 3-4-5, Chapters 6-7 and Chapters 8-9-10.  You will be tested on only those sections that are assigned for study.

GRADING:  The following scale will be used for grading: 90% for an “A”, 85% for an AB, 80% for a “B”, 75% for a “BC”, 70% for a “C”, 65% for a “CD” and 60% for a “D”.  Percentages will be taken from the total points in the course, which is yet to be determined.

Course Schedule

8/29     1-2       Overview, Types of Data                                  p 9 # 1-20

8/31     1-3       Critical Thinking                                                p 17 # 1-22

9/2       1-4       Design of Experiments                                      p 27 # 1-26

9/7       2-2       Frequency Distribution                                      p 44 # 1-18

9/9       2-3       Visualizing Data                                                p 55 # 1-12, 17-22, 25, 26

9/12     2-4       Measures of Center                                          p 69 # 1-4, 9-12, 17, 18

9/14     2-5       Measures of Variation                                       p 87 # 1-4, 9-14, 17, 18, 21-24

9/16     2-6       Measures of Relative Standing                          p 99 # 1-10, 13-24

9/19     2-7       Exploratory Data Analysis                                 p 108 # 1-4, 9-12

9/21     Exam #1:  Chapters 1-2

9/23     3-2       Probability Fundamentals                                  p 128 # 1-18, 25, 26

9/26     4-3       Binomial Probability                                          p 203 # 1-24, 33, 34

9/28     4-4       Binomial Distribution                                         p 210 # 1-16

9/30     5-2       Standard Normal Distribution                            p 237 # 1-28, 37-40

10/3     5-3       Applications of the Normal Distribution             p 246 # 1-12, 17-20

10/5     5-4       Sampling Distribution                                        p 256 # 1-8

10/7     5-5       Central Limit Theorem                                      p 267 # 1-16

10/10   5-6       Normal as Approximation to Binomial               p 278 #1-24

10/12   5-7       Determining Normality                                      p 286 # 1-8

10/14               Practice Test w/Answers for Exam #2

10/17               Exam #2:  Chapters 3-4-5

10/19   6-2       Estimating a Population Proportion                    p 312 # 1-24, 27-30, 37, 39

10/24   6-3       Estimating a Population Mean (s known)          p 327 # 1-28

10/26   6-4       Estimating a Population Mean (s unknown)       p 343 # 1-20

10/28   6-5       Estimating a Population Variance                       p 355 # 1-16

10/31   7-2       Basics of Hypothesis Testing                             p 385 # 2-40

11/2     7-3       Testing a Claim about a Proportion                   p 395 # 1-8, 13, 14

11/4     7-4       Testing a Claim about a Mean (s known)          p 404 # 2-16

11/7     7-5       Testing a Claim about a Mean (s unknown)      p 414 #1-12, 16, 19, 23, 25

11/9                 Practice Test w/answers for Exam #3.

11/11               Exam #3:  Chapters 6-7

11/14   8-2       Inferences about Two Proportions                    p 446 # 1-10, 13-15, 18

11/16   8-3       Inferences about Two Means: Independent Samples      p 461 # 1-10, 15, 16

11/18   8-4       Inferences from Matched Pairs                         p 471 # 1-9, 13, 15

11/21   8-5       Comparing Variation from Two Samples          p 482 # 1-4, 7, 13

11/28   9-2       Correlation                                                       p 510 # 1-7, 11, 13

11/30   9-3       Regression                                                       p 527 # 1-12

12/2     9-4       Variation and Prediction Intervals                      p 538 #1-10, 17-19

12/5     10-2     Multinomial Experiments: Goodness of Fit         p 577 # 1-6, 8, 10, 12, 16

12/7     10-3     Contingency Tables                                          p 591 # 1-4, 9, 11, 19

12/9     Practice Test w/answers for Exam #4

12/15    12:50-2:50 P.M.Final Exam #4:  Chapters 8-9-10