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Math & Physics
Introductory Statistics

 

MATH 1400 – Probability & Statistics

Course Syllabus

Summer 2010

 

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.

 

Physics213_Syllabus_html_m2257b0b7.gif 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

 

Physics213_Syllabus_html_m2257b0b7.gif 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

 

Physics213_Syllabus_html_m2257b0b7.gif Regular 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

 

Physics213_Syllabus_html_m2257b0b7.gif Regular statistical study exercises utilizing Microsoft Excel will be assigned and uploaded to the PantherNet course site when completed.

 

 

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

Exam 2

Ch 7 – Confidence Intervals

Ch 8 – Hypothesis Testing

Ch 9 – Testing the Difference Between Two Means

Exam 3

Ch 10 – Correlation and Regression

Ch 11 – Chi-Square & Analysis of Variance

Final Exam

 

Laboratory

 

Lab1A – Metropolitan Clinic Nurse-In-Training Study (Descriptive)

Lab1B – Glamour-Girl Makeup User Study (Descriptive)

Lab2A – Global Telecom Fiber Optic Thread Inspection Study (Hypothesis Testing)

Lab2B – New England Art Museum Security Study (Hypothesis Testing)

Lab3A – Kentucky Wesleyan Student ACT Study (Difference Testing)

Lab3B – International Health Organization Polio Vaccine Study (Difference Testing)

Lab4A – Kentucky Wesleyan GPA Predictor Model Study (Correlation/Regression)

Lab4B – Ohio Valley Residential Power Use Study (Correlation/Regression)

Lab5A – TastyOs Cereal Marketing Study (Chi-Square)

Lab5B– City University Drug Administration Medical Study (Chi-Square)

Lab6A – D’Oreal Perfume Advertising Study (ANOVA)

Lab6B – Department of Highways Hi-tech Concrete Study (ANOVA)

 

Detailed Class/Laboratory Schedule

Class(C) / Lab(L)

Topic

 

Study/Homework/Laboratory

C1: T 6-29

Introduction

Data Collection and Sampling,  Observational and Experimental Studies

 

Ch 1, Sec 1-4

C2: W 6-30

Organizing Data

Histograms, Frequency Polygons, and Ogives

 

Ch 2, Sec 1-2

C3: Th 7-1

Other Types of Graphs

Paired Data, and Scatter Plots

Measures of Central Tendency

 

Ch 2, Sec 3-4

Ch 3, Sec 1

HW#1 (Nature of Prob. & Stats.)

C4: F 7-2

Measures of Variation

Measures of Position

Exploratory Data Analysis

 

Ch 3, Sec 2-4

HW#2 (Freq. Distributions/Graphs)

L1: F 7-9

Lab1A – Metropolitan Clinic Nurse-In-Training Study

 

Online Laboratory 1

L2: F 7-9

Lab1B – Glamour-Girl Makeup User Study

 

Online Laboratory 2

7-5

Independence Day Holiday

 

Have a good break!

C5: T 7-6

Sample Spaces and Probability

The Addition and Multiplication Rules of Probability

 

Ch 4, Sec 1-3

HW#3 (Data Description)

C6: W 7-7

Probability Distributions

Mean, Variance, Standard Deviation, and Expectation

 

Ch 5, Sec 1-2

C7: Th 7-8

The Standard Normal Distribution

 

Ch 6, Sec 1

C8: F 7-9

Exam 1 (Ch 1-3)

 

75-minute exam

C9: M 7-12

Applications of the Normal Distribution

 

Ch 6, Sec 2

HW#4 (Probability and Counting)

C10: T 7-13

The Central Limit Theorem

 

Ch 6, Sec 3

HW#5 (Probability Distributions)

C11: W 7-14

Confidence Intervals for the Mean (σ known or n ≥ 30

Confidence Intervals for the Mean (σ unknown and n < 30)

 

Ch 7, Sec 1-2

HW#6 (Normal Distribution)

C12: Th 7-15

Steps in Hypothesis Testing

z Test for a Mean

 

Ch 8, Sec 1-2

C13: F 7-16

Exam 2 (Ch 4-6)

 

75-minute exam

C14: M 7-19

t Test for a Mean

Confidence Intervals and Hypothesis Testing

 

Ch 8, Sec 3,6

HW#7 (Confidence Intervals)

L3: M 7-19

Lab2A – Global Telecom Fiber Optic Thread Inspection Study

 

Online Laboratory 3

L4: M 7-19

Lab2B – New England Art Museum Security Study

 

Online Laboratory 4

C15: T 7-20

Testing the Difference Between Two Means: Using the z Test

 

Ch 9, Sec 1

C16: W 7-21

Testing the Difference Between Two Means of Independent Samples: Using the t Test

 

Ch 9, Sec 2

HW#8 (Hypothesis Testing)

L5: W 7-21

Lab3A – Kentucky Wesleyan Student ACT Study

 

Online Laboratory 5

L6: W 7-21

Lab3B – International Health Organization Polio Vaccine Study

 

Online Laboratory 6

C17: Th 7-22

Correlation

Regression

 

Ch 10, Sec 1-2

HW#9 (Difference Testing)

C18: F 7-23

Coefficient of Determination

Standard Error of the Estimate

 

Ch 10, Sec 3

L7: F 7-23

Lab4A – Kentucky Wesleyan GPA Predictor Model Study

Note: It says Lab3A in the videos.

 

Online Laboratory 7

L8: F 7-23

Lab4B – Ohio Valley Residential Power Use Study

 

Online Laboratory 8

C19: M 7-26

Exam 3 (Ch 7-9)

 

75-minute exam

C20: T 7-27

Chi-Square: Goodness-of-Fit Test

Chi-Square: Test for Independence

Chi-Square: Test for Homogeneity

 

Ch 11, Sec 1-2

HW#10 (Correlation/Regression)

L9: T 7-27

Lab5A – TastyOs Cereal Marketing Study

Note: It says Lab4A in the videos.

 

Online Laboratory 9

L10: T 7-27

Lab5B – City University Drug Administration Medical Study

 

Online Laboratory 10

C21: W 7-28

Analysis of Variance

 

Ch 11, Sec 3

HW#11 (Chi-Square)

L11: W 7-28

Lab6A – D’Oreal Perfume Advertising Study

Note: It says Lab5A in the videos.

 

Online Laboratory 11

L12: W 7-28

Lab6B – Department of Highways Hi-tech Concrete Study

 

Online Laboratory 12

C22: Th 7-29

Review

 

HW#12 (ANOVA)

C23: F 7-30

Final Exam (Ch 1-11)

 

2-hour exam

 

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 me immediately and contact Dr. Leah Hoover at the Office of Disability Services (FOB #23 or 270-852-3212) for verification of eligibility and determination of specific accommodations.

 

Academic Help

Several Kentucky Wesleyan offices can be helpful in aiding students.