Course Description: Students taking this course are expected to take the AP Statistics exam in the Spring.  AP Statistics covers material comparable to an introductory college level statistics course.  As part of the course, students also complete a thorough statistical analysis, including appropriate graphs, of a major data-gathering project. 

Assessment:
Grades are based on:                
20% in class work
30% homework
50% tests and projects

Text:  Elementary Statistics A Step by Step Approach

Author:  Allan G. Bluman 

Publisher:  McGraw Hill, 2001

Content:

Chapter 1: The Nature of Probability and Statistics

Descriptive and Inferential Statistics

Variables and Types of Data

Data Collection and Sampling Techniques

Observational and Experimental Studies   

Chapter 2: Frequency Distributions and Graphs

Organizing Data

Histograms, Frequency Polygons, and Ogives

Other Types of Graphs

Chapter 3: Data Description

Measures of Central Tendency

Measures of Variation

Measures of Positions

Exploratory Data Analysis

Chapter 4: Counting Techniques

Tree Diagrams and the Multiplication Rule for Counting

Permutations and Combinations

Chapter 5: Probability

Samples Spaces and Probability

The Addition Rules for Probability

The Multiplication Rules and Conditional Probability

Probability and Counting Techniques

Chapter 6: Discrete Probability Distributions

Probability Distributions

Mean, Variance, and Expectation

The Binomial Distribution

Chapter 7: The Normal Distribution

Properties of the Normal Distribution

The Standard Normal Distribution

Applications of the Normal Distribution

The Central Limit Theorem

The Normal Approximation to the Binomial Distribution

Chapter 8: Confidence Intervals and Sample Size

Confidence Intervals for the Mean (σ Known and n ≥ 30)

Confidence Interval for the Mean (σ Unknown and n < 30)

Confidence Intervals and Sample Size for Proportions

Confidence Intervals for Variances and Standard Deviations

Chapter 9: Hypothesis Testing

Steps in Hypothesis Testing-Traditional Method

z Test for a Mean

t Test for a Mean

z Test for a Proportion

χ2 Test for a Variance of Standard Deviation

Additional Topics Regarding Hypotheses Testing

Chapter 10: Testing the Difference between Two Means, Two Variances and Two Proportions

Testing the Difference between Two Means:  Large Samples

Testing the Difference between Two Variances

Testing the Difference between Two Means:  Small Independent Samples

Testing the Difference between Two Means:  Small Dependent Samples

Testing the Difference between Proportions

Chapter 11: Correlation and Regressions

Scatter Plots

Correlation

Regression

Coefficient of Determination and Standard Error of Estimate

Chapter 12: Other Chi-Square Tests

Test for Goodness o Fit

Tests Using Contingency Tables

Chapter 13: Analysis of Variance

One-Way Analysis of Variance

The Scheffé Test and the Tukey Test

Two-Way Analysis of Variance

Chapter 14: Nonparametric Statistics

Advantages and Disadvantages of Nonparametric Methods

The Sign Test

The Wilcoxon Rank Sum Test

The Wilcoxon Signed-Rank Test

The Kruskal-Wallis Test

The Spearman Rank Correlation Coefficient and the Runs Test

Chapter 15: Sampling and Simulation

Common Sampling Techniques

Surveys and Questionnaire Design

Simulation Techniques

The Monte Carlo Method