# Introduction to Statistics

### Introduction to Statistics Course Menu

A study of descriptive and inferential statistics and its applications to the fields of economics, business, ecology, psychology, education, mathematics and applied science. Topics are inclusive of, but not limited to, the analysis and classification of data, numerical summary measures, probability, discrete and continuous probability distributions, statistics and their sampling distribution, the Central Limit Theorem, point estimation, confidence intervals, hypothesis testing with one and two samples, correlation and regression, Chi-Test and the F-Distribution, Analysis of Variance, and Nonparametric Tests. Upon completion, students will be able to solve real world problems and use appropriate models for analysis.
Prerequisite: Intermediate Algebra with a grade of C or better.

### Chapter 1

Data Collection and Classification

Lessons Homework HW Quiz
1.1   The Basics of Statistics 1.1 1.1
1.2   Data ClassificationData Classification 1.2 1.2
1.3   Simple Random Sampling 1.3 1.3
1.4   Other Sampling Methods 1.4 1.4
1.5   Sample Bias 1.5 1.5
Chapter 1 Test

### Chapter 2

Graphical Displays of Data

Lessons Homework HW Quiz
2.1   Organizing Qualitative Data 2.1 2.1
2.2   Organizing Quantitative Data 2.2 2.2
2.3   Additional Displays of Quantitative Data 2.3 2.3
2.4   Shapes of Distributions 2.4 2.4
2.5   Graphical Displays Using Technology (Optional) 2.5 2.5
Chapter 2 Test

### Chapter 3

Numerical Summaries of Data

Lessons Homework HW Quiz
3.1   Measures of Central Tendency 3.1 3.1
3.2   Measures of Dispersion 3.2 3.2
3.3   Measures of Central Tendency and Dispersion From Grouped Data 3.3 3.3
3.4   Measures of Relative Standing 3.4 3.4
3.5   The Five Number Summary and Boxplots 3.5 3.5
3.6   Numerical Summaries of Data Using Technology (Optional) 3.6 3.6
Chapter 3 Test

### Chapter 4

Probability

Lessons Homework HW Quiz
4.1   The Basics of Probability 4.1 4.1
4.2   The Addition and Complement Rule 4.2 4.2
4.3   Conditional Probability and The Multiplication Rule 4.3 4.3
4.4   Introduction to Combinatorics 4.4 4.4
4.5   Probability Using Technology (Optional) 4.5 4.5
Chapter 4 Test

### Chapter 5

Discrete Probability Distributions

Lessons Homework HW Quiz
5.1   Discrete Random Variables 5.1 5.1
5.2   Binomial Random Variables 5.2 5.2
5.3   Other Discrete Random Variables 5.3 5.3
5.4   Probability Using Technology (Optional) 5.4 5.4
Chapter 5 Test

### Chapter 6

Normal Probability Distributions

Lessons Homework HW Quiz
6.1   Continuous Random Variables 6.1 6.1
6.2   Properties of the Normal Distribution 6.2 6.2
6.3   Probabilities of Normal Random Variables 6.3 6.3
6.4   Probability Using Technology (Optional) 6.4 6.4
Chapter 6 Test

### Chapter 7

Sampling Distributions and the Central Limit Theorem

Lessons Homework HW Quiz
7.1   Probability Distribution of the Sample Mean 7.1 7.1
7.2   Probability Distribution of the Sample Proportion 7.2 7.2
7.3   The Central Limit Theorem 7.3 7.3
Chapter 7 Test

### Chapter 8

Confidence Intervals

Lessons Homework HW Quiz
8.1   Confidence Interval for a Population Mean Known 8.1 8.1
8.2   Confidence Interval for a Population Mean Unknown 8.2 8.2
8.3   Confidence Intervals for a Population Proportion 8.3 8.3
8.4   Confidence Intervals for a Population Variance and Standard Deviation 8.4 8.4
8.5   Confidence Intervals Using Technology (Optional) 8.5 8.5
Chapter 8 Test

### Chapter 9

Hypothesis Testing

Lessons Homework HW Quiz
9.1   Hypothesis Testing 9.1 9.1
9.2   Hypothesis Testing For a Population Mean Known 9.2 9.2
9.3   Hypothesis Testing For a Population Mean Unknown 9.3 9.3
9.4   Hypothesis Testing For a Population Proportion 9.4 9.4
9.5   Hypothesis Testing:   Two Population Means 9.5 9.5
9.6   Hypothesis Testing:   Two Population Proportions 9.6 9.6
9.7   Hypothesis Testing Using Technology (Optional) 9.7 9.7
Chapter 9 Test

### Chapter 10

Linear Regression and Analysis of Variance

Lessons Homework HW Quiz
10.1   Scatter Diagrams and Correlation 10.1 10.1
10.2   Linear Regression 10.2 10.2
10.3   Testing Population Variance: One and Two Samples 10.3 10.3
10.4   Analysis of Variance 10.4 10.4
10.5   Regression and ANOVA Using Technology (Optional) 10.5 10.5
Chapter 10 Test

### Chapter 11

Categorical Data Analysis and Nonparametric Statistics

Lessons Homework HW Quiz
11.1   Goodness of Fit Test 11.1 11.1
11.2   Test for Independence and the Homogeneity of Proportions 11.2 11.2
11.3   The Sign Test 11.3 11.3
11.4   The Wilcoxon Tests 11.4 11.4
11.5   The Kruskal-Wallis Test 11.5 11.5
Chapter 11 Test
 Final for Introduction to Statistics