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UNIVERSIDAD DE ESPECIALIDADES ESPIRITU SANTO INTERNATIONAL COLLEGE INTERNATIONAL CAREERS PROGRAM SYLLABUS CLASS: Statistics I PREREQUISITES: PROFESSOR: Carlos Valdivieso BIMESTER: Spring II, 2005 CREDITS: 3 CODE: SCHEDULE: M -Th CLASSROOM: C4 HOURS OF HOMEWORK: 96 1. COURSE DESCRIPTION Statistics I is the first of two introductory courses in Statistics. This course will provide students with an introductory survey of the many applications of Descriptive Statistics, presenting the basis for Inferential Statistics that will be covered in Statistics II. The Applications of the statistical tools learned along with this course are very important in the development strategies in today business environment. This course will demand basic Excel knowledge from the participants. 2. GENERAL METHODOLOGY Students are responsible for reading every day about the class lecture following the guidelines given in the next section of this syllabus. This preparation is very important to answer questions asked during the class and that will be part of the evaluation. Homework will be turn in at the beginning of the class, and the student should be prepared to answer any related questions. This course will be taught with the aid of power point presentations using an in focus. Excel will be loaded with an additional menu that will allow the use of Mega Stat, a powerful statistical Software. 3. CLASS SCHEDULE AND WORKLOAD BREAKDOWN Sept. 25 Syllabus presentation. Read Main Text Oral Evaluation Session 1 Course Politics Pages: 1 - 14 Class Discussion Introduction to Statistics Types of Statistics Types of Variables Levels of measurements Session 2 Statistic Graphics and Read Main Text Oral Evaluation Ethics Pages: 14 – 22 Class Discussion Introduction to the use of Homework #1 Statistical Software Session 3 Frequency Distributions and Read Main Text Oral Evaluation Graphics Presentations Pages: 23 – 31 Class Discussion 1 Session 4 Session 5 Session 6 Session 7 Session 8 Session 9 Session 10 Constructing a Frequency Distribution Relative Frequency Distribution Graphic Presentation Histogram Frequency Polygon Line Graphs Bar Charts Pie Charts Numerical Measures The Population Mean Sample Mean Properties of the Arithmetic Mean The weighted Mean The Median The Mode The Relative Position of the Mean Median and Mode The Geometric Mean Why Study Dispersion? Measures of Dispersion: Mean Deviation Variance and Standard Deviation Population Variance Population Standard Deviation Sample Variance Standard Deviation Interpretation and Uses of the Standard Deviation Chebyshev’s Theorem Empirical Rule The Mean and Standard Deviation of Grouped Data The Arithmetic Mean of Grouped Data Standard Deviation of Grouped Data Lesson1 (Project) Displaying and Exploring Data Introduction Dot Plots Stem and Leaf Displays Other Measures of Dispersion Quartiles, Deciles and Homework Review Read Main Text Pages: 31 – 54 Homework #2 Oral Evaluation Class Discussion Read Main Text Pages: 55 - 66 Oral Evaluation Class Discussion Homework Review Read Main Text Pages: 66 - 74 Oral Evaluation Class Discussion Read Main Text Pages: 74 - 79 Oral Evaluation Class Discussion Read Main Text Pages: 79 – 95 Homework #3 Oral Evaluation Class Discussion Read Main Text Pages: 96 – 104 Oral Evaluation Class Discussion Homework Review Read Main Text Pages: 104 – 138 Homework #4 Oral Evaluation Class Discussion 2 Session 11 Session 12 Session 13 Session 14 Session 15 Session 16 Percentiles Relative Dispersion Skewness Pearson’s Coefficient of Skewness Describing the Relationship between two Variables A Survey of Probability Concepts Introduction What is Probability Approaches to assigning Probabilities Subjective Probability Some Rules for Computing Probabilities Rules of Addition Rules of Multiplication Contingency Tables Tree Diagrams Bayes’ Theorem Principles of Counting The Multiplication Formula The Permutation Formula The Combination Formula Course Review Midterm Exam Discrete Probability Distributions Introduction What is probability Distribution Random Variables Discrete Random Variables Continuous Random Variable The Mean Variance and Standard Deviation of a Probability Distribution Mean of a Probability Distribution Variance of a Probability Distribution Binomial Probability Distribution Mean of a Binomial Distribution Variance of a Binomial Distribution Binomial Probability Tables Read Main Text Pages: 139 – 155 Oral Evaluation Class Discussion Homework Review Read Main Text Pages: 155 – 179 Homework #5 Oral Evaluation Class Discussion Homework Review Read Main Text Pages: 180 – 185 Oral Evaluation Class Discussion Read Main Text Pages: 185 – 211 Homework #6 Oral Evaluation Class Discussion 3 Session 17 Session 18 Session 19 Session 20 Session 21 Cumulative Binomial Probability Distribution Hypergeometric Probability Distribution Continuous Probability Distributions Introduction The Family of uniform distribution Mean of the uniform Distribution Standard Deviation of the Uniform Distribution The Family of Normal Probability distributions The Standard Normal Distribution Z Value Standard Normal Value Applications of the Standard Normal Distributions The Empirical Rule Finding Areas under the Normal Curve The Normal Approximation of the Binomial Continuity Correction Factor How to Apply the Correction Factor Sampling Methods an the Central Limit theorem Reasons to Sample Simple Random Sampling Systematic Random Sampling Stratified Random Sampling Cluster Sampling Sampling Error Sampling Distribution of the Sample Mean The Central Limit Theorem Using the Sample Distribution of the Sample Mean Estimation and Confidence Intervals Introduction Read Main Text Pages: 212 – 221 Oral Evaluation Class Discussion Homework Review Read Main Text Pages: 221 – 249 Homework #7 Oral Evaluation Class Discussion Read Main Text Pages: 250 – 255 Oral Evaluation Class Discussion Homework Review Read Main Text Pages: 255 – 281 Homework #8 Oral Evaluation Class Discussion Read Main Text Pages: 282 – 297 Oral Evaluation Class Discussion Homework Review 4 Session 22 Session 23 Session 24 Session 25 Session 26 Point Estimate and Confidence Interval Unknown population Standard Deviation and a Small Sample Lesson 2 (Project) A Confidence Interval for a Proportion Finite Population Correction Factor Choosing and Appropriate Sample Size Lesson 2 (Project) One Sample Test of Hypothesis Introduction What is Hypothesis? What is Hypothesis Testing Five Step Procedure for Testing a Hypothesis Null Hypothesis Alternate Hypothesis Level of Significance Type I Error Type II Error Test Statistics Formulate the decision Rule Critical rule Make a Decision One tailed and two Tailed Tests of Significance Testing for a Population Mean with a Known Population Standard Deviation P-Value in Hypothesis Testing Testing for a Population Mean: Large Sample, Population Standard Deviation Unknown Session 27 Test Concerning Proportions Testing for a Population Mean. Small Sample, Population Standard Deviation Unknown Session 28 Course Review Read Main Text Pages: 297 – 315 Homework #9 Oral Evaluation Class Discussion Read Main Text Pages: 316 – 320 Oral Evaluation Class Discussion Homework Review Read Main Text Pages: 320 – 322 Oral Evaluation Class Discussion Read Main Text Pages: 322 – 328 Homework #10 Oral Evaluation Class Discussion Read Main Text Pages: 328 – 331 Oral Evaluation Class Discussion Homework Review Read Main Text Pages: 331 – 354 Homework #11 Oral Evaluation Class Discussion Homework Review 5 Session 29 Session 30 Final Exam Final Review 4. EVALUATION MIDTERM AND FINAL EXAM Homework 20% Oral Evaluations 20% Class Participation 10% Midterm Exam 50% 5. CLASSROOM POLICIES Students will not be allowed after five minutes of the beginning of the class. On time homework will be graded over a 100% of the grade, one day late homework over 50%, after two days homework will receive no grade. In case of absence, homework will be due the day the student returns to class. BIBLIOGRAFIA: Main Text: Statistical Techniques in Business and Economics. McGraw Hill 2005 By: Douglas A. Lind William G. Marshall Samuel A. Wathem Basic Business Statistics Mark Berenson Prentice Hall Introduction to Modern Business Statistics W. J. Conover and Ronal L Iman Wiley Essentials of Business Statistics David F. Groebner and Patrick Shannon Merril Business Statistics Lawrence L. Lapin HBJ Statistics for Business and Economics Debra Olson Oltman and James R. Lackritz Business Statistics Richard A. Johnson and Dean W. Wichern Wiley PROFESOR: NOMBRE: TITULOS: Carlos Valdivieso Bachelor in Electrical Engineering 6 Master in Electrical Engineering Licenciado en Diplomacia Doctor en Ciencias Internacionales UNIVERSIDADES: University of Southern California. Los Angeles Universidad de Guayaquil EMAIL: [email protected] 7