Math & Physics Introductory Statistics

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MATH 1400 – Probability & Statistics

Course Syllabus

Fall 2009

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Description: An introduction to probability and statistics with applications. Intended for students of business, life sciences, and social sciences.

General Education Goals & Competencies: The following General Education goals and competencies are addressed:

1. To think creatively: Can develop a unique, original approach to solving a problem.

2. To better understand the natural world: Can analyze the natural world and human efforts to achieve progress through involvement with it.

3. To use mathematics to better understand applied situations: Can use tools such as graphs, statistics, logarithms, etc. to analyze relevant data and/or test hypotheses.

Assessment will include homework assignments, laboratory exercises, regular exams, and a cumulative final exam.

Objectives: Each student will (1) develop a fundamental understanding of the various concepts encountered in the study of probability and statistics; (2) understand the development of statistics from descriptive through inferential statistics; (3) perform and evaluate the validity of statistical studies, analyze collected statistical data using a variety of statistical techniques, develop summaries, make decisions, and suggest further action based on the results; and (4) develop a flexible, logical problem solving methodology applicable, not only to this course, but to the greater academic and career challenges ahead.

Scope: This course begins with the collection, organization, summation, and presentation of statistical data. It continues with basic probability and probability distributions. The normal distribution and central limit theorem are explored. Confidence intervals and hypothesis testing are investigated using previously covered principles of probability. The last phase of the course introduces correlation and regression analysis, and chi-square and analysis of variance.

Instructor: Dr. Buxton L. Johnson, Sr.

Present lectures that compliment the book and reinforce learning objectives; ensure that all components of the course are coordinated and sequenced according to the syllabus; provide help sessions and additional instruction as requested (only simple examples and problems will normally be worked in class); ensure testing and subsequent grading is equitable and consistent; and guide students in the performance of laboratory experiments and the subsequence preparation of laboratory reports.

Students: You

Study assigned sections prior to class; read and attempt to work through assigned problems prior to deadline; develop and maintain a statistics reference sheet (one side of an 8.5” x 11” paper for each hour exam and both sides of one sheet for the final exam); seek addition help early--use instructor’s office hours or make appointments--use Plus Center tutors; participate in study groups within the guidelines of Kentucky Wesleyan’s rules on plagiarism; visit online tutoring sites; and test yourself before the exam!

Graded Events

Class

Regular weekly homework assignments will be assigned. In addition, three 1-hour exams and a 2-hour cumulative final exam will be administered. These exams will cover class material, homework assignments, and topics from laboratory.

Laboratory

A statistical study exercise will be performed each week in the Library Computer Lab and will be due at the end of the laboratory period. In addition, a cumulative laboratory final exam will be administered during the last laboratory period.

Schedule

Class

Ch 1 – The Nature of Probability & Statistics

Ch 2 – Frequency Distributions & Graphs

Ch 3 – Data Description

Exam 1

Ch 4 – Probability & Counting

Ch 5 – Discrete Probability Distributions

Ch 6 – The Normal Distribution

Ch 7 – Confidence Intervals

Exam 2

Ch 8 – Hypothesis Testing

Ch 9 – Testing the Differenced Between Two Means

Ch 10 – Correlation and Regression

Exam 3

Ch 11 – Chi-Square & Analysis of Variance

Final Exam

Laboratory

Excel Practice Exercises

Lab#1 – Kentucky Wesleyan Student ACT Study (DESCRIPTIVE)

Lab#2 – Metropolitan Clinic Nurse-In-Training Study (DESCRIPTIVE)

Lab#3 – Glamour-Girl Makeup User Study (DESCRIPTIVE)

Lab#4 – International Health Organization Polio Vaccine Study (TEST OF μ)

Lab#5 – Global Telecom Fiber Optic Thread Inspection Study (TEST OF μ)

Lab#6 – New England Art Museum Security Study (TEST OF μ)

Lab#7 – Kentucky Wesleyan GPA Predictor Model Study (CORRELATION)

Lab#8 – Ohio Valley Residential Power Use Study (CORRELATION)

Lab#9 – TastyOs Cereal Marketing Study (CHI-SQUARE)

Lab#10– City University Drug Administration Medical Study (CHI-SQUARE)

Lab#11 – D’Oreal Perfume Advertising Study (ANOVA)

Lab#12 – Department of Highways Hi-tech Concrete Study (ANOVA)

Detailed Class/Laboratory Schedule
Class(C) / Lab(L)	Topic	Study/Homework/Laboratory
C1: M 8-31	Introduction, Descriptive and Inferential Statistics, and Variables and Types of Data	Ch 1, Sec 1-3
LA: T 9-1	Excel Practice Exercises	Excel Introduction Lab
C2: W 9-2	Data Collection, Sampling, Observational Studies, and Experimental Studies	Ch 1, Sec 4-5
LB: Th 9-3	Excel Practice Exercises	Excel Introduction Lab
C3: F 9-4	Organizing Data	Ch 2, Sec 1-2
M 9-7	Labor Day	Have a good holiday!
L1A: T 9-8	Lab#1 – KWC Student ACT Study KWC ACT List	Laboratory 1, Section A
C4: W 9-9	Histograms, Frequency Polygons, and Ogives	Ch 2, Sec 3 HW#1 (Nature of Prob. & Stats.)
L1B: Th 9-10	Lab#1 – KWC Student ACT Study KWC ACT List	Laboratory 1, Section B
C5: F 9-11	Other Types of Graphs, Paired Data, and Scatter Plots	Ch 2, Sec 4-5
C6: M 9-14	Measures of Central Tendency	Ch 3, Sec 1-2 HW#2 (Freq. Distributions/Graphs)
L2A: T 9-15	Lab#2 – Metropolitan Clinic Nurse-In-Training Study	Laboratory 2, Section A
C7: W 9-16	Measures of Variation	Ch 3, Sec 3
L2B: Th 9-17	Lab#2 – Metropolitan Clinic Nurse-In-Training Study	Laboratory 2, Section B
C8: F 9-18	Measures of Position and Exploratory Data Analysis	Ch 3, Sec 4-5
C9: M 9-21	Sample Spaces and Probability	Ch 4, Sec 1-2 HW#3 (Data Description)
L3A: T 9-22	Lab#3 – Glamour-Girl Makeup User Study	Laboratory 3, Section A
C10: W 9-23	The Addition and Multiplication Rules of Probability	Ch 4, Sec 3-4
L3B: Th 9-24	Lab#3 – Glamour-Girl Makeup User Study	Laboratory 3, Section B
C11: F 9-25	Exam 1 (Ch 1-3)	One hour exam
C12: M 9-28	Probability Distributions	Ch 5, Sec 1-2 HW#4 (Probability and Counting)
L4A: T 9-29	Lab#4 – International Health Organization Polio Vaccine Study	Laboratory 4, Section A
C13: W 9-30	Mean, Variance, Standard Deviation, and Expectation	Ch 5, Sec 3
L4B: Th 10-1	Lab#4 – International Health Organization Polio Vaccine Study	Laboratory 4, Section B
C14: F 10-2	The Standard Normal Distribution	Ch 6, Sec 1-3
C15: M 10-5	Applications of the Normal Distribution	Ch 6, Sec 4 HW#5 (Probability Distributions)
L5A: T 10-6	Lab#5 – Global Telecom Fiber Optic Thread Inspection Study	Laboratory 5, Section A
C16: W 10-7	The Central Limit Theorem	Ch 6, Sec 5
L5B: Th 10-8	Lab#5 – Global Telecom Fiber Optic Thread Inspection Study	Laboratory 5, Section B
C17: F 10-9	Confidence Intervals for the Mean (σ known or n ≥ 30	Ch 7 Sec 1-2
C18: M 10-12	Confidence Intervals for the Mean (σ unknown and n < 30)	Ch 7, Sec 3 HW#6 (Normal Distribution)
C19: W 10-14	Confidence Intervals and Sample Size for Proportions	Ch 7, Sec 4
10-15 to 10-16	Fall Break	Have a good break!
C20: M 10-19	Steps in Hypothesis Testing	Ch 8, Sec 1-2
L6A: T 10-20	Lab#6 – New England Art Museum Security Study	Laboratory 6, Section A
C21: W 10-21	z Test for a Mean	Ch 8, Sec 3 HW#7 (Confidence Intervals)
L6B: Th 10-22	Lab#6 – New England Art Museum Security Study	Laboratory 6, Section B
C22: F 10-23	t Test for a Mean	Ch 8, Sec 4
C23: M 10-26	Exam 2 (Ch 4-7)	One hour exam
L7A: T 10-27	No laboratory
C24: W 10-28	z Test for a Proportion	Ch 8, Sec 5
L7B: Th 10-29	No laboratory
C25: F 10-30	Confidence Intervals and Hypothesis Testing	Ch 8, Sec 7
C26: M 11-2	Testing the Difference Between Two Means: Large Samples	Ch 9, Sec 1-2 HW#8 (Hypothesis Testing)
L8A: T 11-3	Lab#7 – Kentucky Wesleyan GPA Predictor Model Study	Laboratory 7, Section A
C27: W 11-4	Testing the Difference Between Two Variances	Ch 9, Sec 3
L8B: Th 11-5	Lab#7 – Kentucky Wesleyan GPA Predictor Model Study	Laboratory 7, Section B
C28: F 11-6	Testing the Difference Between Two Means: Small Independent Samples	Ch 9, Sec 4
C29: M 11-9	Correlation	Ch 10, Sec 1-2
L9A: T 11-10	Lab#8 – Ohio Valley Residential Power Use Study	Laboratory 8, Section A
C30: W 11-11	Regression	Ch 10, Sec 3 HW#9 (Difference Testing)
L9B: Th 11-12	Lab#8 – Ohio Valley Residential Power Use Study	Laboratory 8, Section B
C31: F 11-13	Coefficient of Determination and Standard Error of the Estimate	Ch 10, Sec 4
C32: M 11-16	Correlation and Regression	Ch 10, Sec 1-4
L10A: T 11-17	Lab#9 – TastyOs Cereal Marketing Study	Laboratory 9, Section A
C33: W 11-18	Chi-Square: Goodness of Fit	Ch 11, Sec 1-2 HW#10 (Correlation & Regression)
L10B: Th 11-19	Lab#9 – TastyOs Cereal Marketing Study	Laboratory 9, Section B
C34: F 11-20	Chi-Square: Independence	Ch 11, Sec 3
C35: M 11-23	Exam 3 (Ch 8-10)	One hour exam
11-25 to 11-27	Thanksgiving Break	Have a good break!
C36: M 11-30	Chi-Square: Homogeneity of Proportions	Ch 11, Sec 3
L11A: T 12-1	Lab#10 – City University Drug Administration Medical Study	Laboratory 10, Section A
C37: W 12-2	Analysis of Variance	Ch 11, Sec 4 HW#11 (Chi-Square)
L11B: Th 12-3	Lab#10 – City University Drug Administration Medical Study	Laboratory 10, Section B
C38: F 12-4	Analysis of Variance	Ch 11, Sec 4
C39: M 12-7	Analysis of Variance	Ch 11, Sec 4
L12A: T 12-8	Lab#11 – D’Oreal Perfume Advertising Study	Laboratory 11, Section A
C40: W 12-9	Analysis of Variance	Ch 11, Sec 4 HW#12 (Analysis of Variance)
L12B: Th:12-9	Lab#11 – D’Oreal Perfume Advertising Study	Laboratory 11, Section B
C41: F 12-11	Review for Final
W 12-16	Final Exam (Ch 1-11)	8:00 to 10:00

ATTENDANCE – Your grade in this course is likely to be strongly influenced by your class attendance. Exam questions are designed to cover very specifically the topics as they are discussed in class. Six absences are allowed without affecting the student's grade. Beyond this, each additional absence will result in a 20-point reduction in the final grade.

MAKEUP EXAMS – Students who are forced to miss an exam due to unavoidable circumstances (illness, death in the family, athletic tournament, etc.) must contact the instructor. The instructor will determine if the absence is to be excused in accordance with Kentucky Wesleyan regulations on excused absences. Students with an excused absence will be allowed to take a makeup exam. No more than one makeup exam will be approved for any student except in unusual and very well documented cases.

EXAM DISCREPANCIES – Students with exam discrepancies should record, specifically, those items they would like considered for re-evaluation and return their exam to the instructor before leaving the classroom. All other students can retain their exams. No consideration will be given to exam discrepancies submitted after the student has left the classroom.

LABORATORY MAKEUP – All missed laboratory exercises must be made up and submitted to receive a grade in the course. Students who are forced to miss a laboratory due to unavoidable circumstances (illness, death in the family, athletic tournament, etc.) must contact the instructor. The instructor will determine if the absence is to be excused in accordance with Kentucky Wesleyan regulations on excused absences. Only students with an excused absence will receive credit for making up the missed laboratory experiment.

LATE WORK – Only one late homework assignment will be accepted for credit. Only one late laboratory report will be accepted for credit.

CHEATING – The first time a student is found cheating, copying, etc., a zero will be given on the compromised work. The second time will result in failure of the course.

Grading Policy

Graded Event

Points

Exams(3)

360

Final Exam(1)

180

Homework Assignments(12)

180

Laboratory Exercises(12)

180

Course Total

900

Final Grade Assignments are based on the percentage of course points earned according to the following schedule:

• 90% and above – A
• 80% and above – B
• 70% and above – C
• 60% and above – D
• below 60% – F

Academic Accommodations

Kentucky Wesleyan College is committed to providing access to programs and services for qualified students with disabilities. If you are a student with a disability and require accommodations to participate and complete requirements for this class, notify the instructor immediately and contact Dr. Leah Hoover at the Office of Disability Services for verification of eligibility and determination of specific accommodations.

Academic Help

Several Kentucky Wesleyan offices can be helpful in aiding students.

• Office of Disability Services, 23 Faculty Office Building, (270) 852-3212
• Darrell Plus Center, Library Learning Center, (270) 852-3298
• Academic Dean’s Office, 105 Barnard-Jones Administration Building, (270) 852-3117