| Chapter 1- Chapter 3 | Chapter 4 - Chapter 6 | Chapter 7- Chapter 8 |
| Chapter 9- Chapter 10 | Chapter 11- Chapter 12 | Evaluation & Grading |
PROBABILITY AND STATISTICS
Grades 11-12
Prerequisite: Algebra II or Pre Analisys
Text book: Understandable Statistics By C. H. Brase and C. P. Brase
Publisher: D.C. Heath and Company 1995. Academic year 2006-2007
Course Overview:
This course is intended for students who required and introduction to probability and statistics in fields as diverse as engineering, mathematics, psychology, education, business, economics, biology and medicine. It includes analysis of numerical data, elementary probability theory, permutations and combinations, normal and binomial distributions, sampling and test of statistical hypothesis.
Essencial Learnings:
Chapter 1 .- Introduction to the Course. (5 days).
-Definitions. What is Statistics?
-Its relation to other subjects . Its connection with the probability theory.
-When and Where will we use statistics?. Calculators and Computers in statistics.
Chapter 2.- Organizing Data (10 days).
- Random Samples.
- Graphs. Histograms and Frequency Distributions. Stem and Leaf Displays.
- Exercises. Problems.
Chapter 3.- Averages and Variations (15 days).
- Mode, Median and Mean.
- Measures of Variation: Mean and Standard Deviation. Grouped data.
- Percentiles.
Chapter 4.- Elementary Probability Theory (25 days).
- What is Probability?
- Some Probability Rules. Compound Events.-Trees and Counting Techniques.
- Introduction to Random Variables and Probability Distributions.
Chapter 5.- The Binomial Probability Distribution and Related Topics (15 days).
- Binomial Experiments. The Binomial Distribution.
- Additional properties of the the normal distributions.
- The Geometric and Poisson Probability Distributions.
Chapter 6.- Normal Distributions (15 days).
- Graphs of Normal Probability distributions.
- Standard Units and the Standard Normal Distribution.
Areas Under the Standard Normal Curve. Areas Under any Normal Curve.
(END OF FIRST SEMESTER)
Chapter 7.- Introduction to Sampling Distributions (15 days)
- Sampling Distributions.
- The Central Limit Theorem.
- Normal Approximation to the Binomial Distribution.
Chapter 8.- Statistical Estimation. (15 days)
- Estimating m with large samples.
- Estimating m with small samples.
- Estimating p in the Binomial Distribution.
- Choosing the Sample Size.
- Estimating m1- m2 and p1 - p2
Chapter 9.- Hypothesis Testing. (20 days)
- Introduction to Hypothesis Testing.
- Tests Involving The Mean (for large samples)
- The P- Value in Hypothesis Testing.
- Tests Involving the Mean (for small samples)
- Tests Involving a Proportion.
- Tests Involving Paired Differences (dependent samples)
- Tests involving Paired Differences of two Means or Two Proportions. (independent samples)
Chapter 10.- Regression and Correlation.(15 days)
- Introduction to Paired Data and Scatter Diagrams.
- Linear Regression and Confidence Bounds for Prediction.
- The Linear Correlation Coefficient.
- Testing the Correlation Coefficient
. Multiple Regression.
Chapter 11.- CHI- Square: Test of Independence.
- CHI-Square: Goodness of Fit.
- Testing and Estimating Variances and Standard Deviations.
Chapter 12.- Nonparametric Statistics (15 days).
- The Sign Test.
- The Rank-Sum Test.
- Spearman Rank Correlation.
METHOD OF EVALUATION
The quarter grades will be determined as follows:
- A minimun of six tests will be given per quarter.
- The average of the tests obtained by the student will be 80% of the quarter grade.
- Homework, quizzes and performance in class will be 20%.
The semester grade will be averaged accordingly:
First quarter 40%
Second quarter 40%
Semester final 20%
GRADIIND SYSTEM:
| 100-97=A+ | 89-87 =B+ | 79-77 =C+ | 69-67 =D+ | 59 - 0 = F |
| 96-93= A | 86-83 =B | 76-73 =C | 66-63 =D | |
| 92-90=A - | 82-80 =B- | 72-70 =C- | 62-60 =D- |