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.

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 | ||||

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 | ||||

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 | ||||

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 | ||||

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 | ||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 |

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