UNIVERSIDAD DE ESPECIALIDADES ESPIRITU SANTO

SCHOOL OF INTERNATIONAL STUDIES

INTERNATIONAL CAREERS PROGRAM

SYLLABUS

CLASS:Statistics I CREDITS: 3
PREREQUISITES: CODE:UMAT235
PROFESSOR: Leonardo Gutierrez SCHEDULE: M-Tu-W-Th
CLASS HOURS: 48 CLASSROOM:G-299
BIMESTER:Spring I,2007 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.
  1. COURSE GOALS

Students will develop a level of statistical literacy that enablesthem to critically assess information encountered in the media and other sources.
Students will be able to use a computer program to enter data and perform statistical analyses, and will know how to interpret the statistical output of the program. Students will also become familiar with the computer as a tool for promoting conceptual understanding.
Students will learn how to analyze and interpret quantitative information, to use statistical thinking, and to communicate using the language of statistics.
  1. 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, powerful statistical Software.
  1. CLASS SCHEDULE AND WORKLOAD BREAKDOWN

DATES & SESSIONS / SPECIFIC COMPETENCIES / CONTENTS / NON CONTACT HOURS / ASSESSMENT
12-03-07
Session 1 / Discuss Descriptive Stats. principles / Syllabus presentation.
Course Politics
Introduction to Statistics
Types of Statistics
Types of Variables
Levels of measurements
Statistic Graphics and Ethics
Introduction to the use of Statistical Software / Read Main Text
Pages: 1 - 14
Pages: 14 – 22
Homework #1 / Oral Evaluation
Class Discussion
13-03-07
Session 2 / Frequency Distributions and Graphics Presentations
Constructing a Frequency Distribution
Relative Frequency Distribution / Read Main Text
Pages: 23 – 31 / Oral Evaluation
Class Discussion Homework Review
14-03-07
Session 3 / Graphic Presentation
Histogram
Frequency Polygon
Line Graphs
Bar Charts
Pie Charts / Read Main Text
Pages: 31 – 54
Homework #2 / Oral Evaluation
Class Discussion
15-03-07
Session 4 / Numerical Measures
The Population Mean
Sample Mean
Properties of the Arithmetic Mean
The weighted Mean
The Median
The Mode / Read Main Text
Pages: 55 - 66 / Oral Evaluation
Class Discussion
Homework Review
19-03-07
Session 5 / The Relative Position of the Mean Median and Mode
The Geometric Mean
Why Study Dispersion?
Measures of Dispersion:
Mean Deviation / Read Main Text
Pages: 66 - 74 / Oral Evaluation
Class Discussion
20-03-07
Session 6 / Computer assisted exercises
. / Variance and Standard Deviation
Population Variance
Population Standard Deviation
Sample Variance
Standard Deviation / Read Main Text
Pages: 74 - 79 / Oral Evaluation
Class Discussion
21-03-07
Session 7 / 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) / Read Main Text
Pages: 79 – 95
Homework #3 / Oral Evaluation
Class Discussion
22-03-07
Session 8 / QUIZ
26-03-07
Session
9 / Displaying and Exploring Data
Introduction
Dot Plots
Stem and Leaf Displays / Read Main Text
Pages: 96 – 104 / Oral Evaluation
Class Discussion
Homework Review
27-03-07
Session 10 / Other Measures of Dispersion
Quartiles, Deciles and Percentiles
Relative Dispersion
Skewness
Pearson’s Coefficient of Skewness
Describing the Relationship between two Variables / Read Main Text
Pages: 104 – 138
Homework #4 / Oral Evaluation
Class Discussion
28-03-07
Session 11 / 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 / Read Main Text
Pages: 139 – 155 Pages: 155 – 179
Homework #5 / Oral Evaluation
Class Discussion
Homework Review
29-03-07
Session 12 / Midterm Exam
02-04-07
Session 13 / Discuss the Principles of Discrete probability distributions and their applications to Economics. / 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 / Read Main Text
Pages: 180 – 185 / Oral Evaluation
Class Discussion
03-04-07
Session 14 / Variance of a Probability Distribution
Binomial Probability Distribution
Mean of a Binomial Distribution
Variance of a Binomial Distribution
Binomial Probability Tables
Cumulative Binomial Probability Distribution
Hypergeometric Probability Distribution / Read Main Text
Pages: 185 – 211
Homework #6 / Oral Evaluation
Class Discussion
04-04-07
Session 15 / 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 / Read Main Text
Pages: 212 – 221 / Oral Evaluation
Class Discussion
Homework Review
05-04-07
Session 16 / 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 / Read Main Text
Pages: 221 – 249
Homework #7 / Oral Evaluation
Class Discussion
09-04-07
Session 17 / Practice Integration exercises involving advanced calculus techniques
Analysis of the Economic applications of Calculus involving functions of several variables. Specific exercises of cost, revenue, price, demand and their marginal functions / Sampling Methods an the Central Limit theorem
Reasons to Sample
Simple Random Sampling
Systematic Random Sampling
Stratified Random Sampling / Read Main Text
Pages: 250 – 255 / Oral Evaluation
Class Discussion
Homework Review
10-04-07
Session
18 / Cluster Sampling
Sampling Error
Sampling Distribution of the Sample Mean
The Central Limit Theorem
Using the Sample Distribution of the Sample Mean / Read Main Text
Pages: 255 – 281
Homework #8 / Oral Evaluation
Class Discussion
11-04-07
Session 19 / Estimation and Confidence Intervals
Introduction
Point Estimate and Confidence Interval
Unknown population Standard Deviation and a Small Sample
Lesson 2 (Project) / Read Main Text
Pages: 282 – 297 / Oral Evaluation
Class Discussion
Homework Review
12-04-07
Session 20 / QUIZ
16-04-07
Session 21 / 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 / Read Main Text
Pages: 297 – 315
Homework #9 Pages: 316 – 320 / Oral Evaluation
Class Discussion
17-04-07
Session 22 / 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 / Read Main Text
Pages: 320 – 322
Pages: 322 – 328
Homework #10 / Oral Evaluation
Class Discussion
18-04-07
Session
23 / P-Value in Hypothesis Testing
Testing for a Population Mean: Large Sample, Population Standard Deviation Unknown
Test Concerning Proportions
Testing for a Population Mean. Small Sample, Population Standard Deviation Unknown / Read Main Text
Pages: 328 – 331
Pages: 331 – 354
Homework #11 / Oral Evaluation
Class Discussion
Homework Review
19-04-07
Session 24 / Final Exam
  1. EVALUATION

MIDTERM AND FINAL EXAM
Homework 20%
Quiz 20%
Class Participation10%
Midterm Exam50%
  1. 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.

7. BIBLIOGRAPHY:

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

PROFESSOR:

NAME:Leonardo Gutierrez

DEGREES OBTAINED:Bachelor in Mining and Metallurgical Engineering

MSc. Environmental Engineering C.E. Fulbright Commission Program

UNIVERSITIES:ESPOL

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