Chapter

Section

Topics

1

The Nature of Probability and Statistics

1.1

Introduction

1.2

Descriptive and Inferential Statistics

1.3

Variables and Types of Data

1.4

Data Collection and Sampling Techniques

1.5

Observational and Experimental Studies

1.6

Uses and Misuses of Statistics

2

Frequency Distribution and Graphs

2.1

Introduction

2.2

Organizing Data

2.3

Histograms, Frequency Polygons, and Ogives

2.4

Other types of Graphs

3

Data Description

3.1

Introduction

3.2

Measures of Central Tendency

3.3

Measures of Variation

3.4

Measures of Position  

3.5

Exploratory Data Analysis

4

Probability and Counting Rules

4.1

Introduction

4.2

Sample Spaces and Probability

5

Discrete Probability Distributions

5.1

Introduction

5.2

Probability Distributions

5.3

Mean, Variance and Expectation

5.4

The Binomial Distribution

6

The Normal Distribution

6.1

Introduction

6.2

Properties of the Normal Probability Distribution

6.3

The Standard Normal Distribution

6.4

Applications of Normal Distribution

6.5 

The Central Limit Theorem

7

Confidence Intervals and Sample sizes

7.1

Introduction

7.2

Confidence Interval for the Mean (std. dev. For known or large n )

7.3 

Confidence Interval for the Mean (std. dev. for unknown and small n )

7.4 

Confidence Interval and Sample Size for a Population Proportion

7.5

Confidence Interval for Variance

8

Hypothesis Testing

8.1

Introduction

8.2 

Steps in Hypothesis Testing - Traditional Method

8.3

z-Test for a Mean

8.4

t-test for a Mean 

8.5

z test for a proportion

8.6

Chi-square test for a Variance or Standard Deviation