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2 Weeks


About the Course

Get a Statistics Certificate

In this course you will receive a comprehensive introduction to statistics, which involves the collection and analysis of data, understanding and testing probability, hypothesis testing, and applying statistical methods to solve problems. This course is ideal for people who are interested in critical thinking and problem solving who want to learn to interpret information and data more accurately and impactfully.

What to Expect

The Statistics Certificate Course is an online learning program with recommended readings from the textbook (Introductory Statistics). This course is self-directed, which means you may study and complete assignments at times that are most convenient for you from the comfort of your own home.

This part-time Statistics Certificate Course has a recommended completion date of 6 weeks from the start of the program, however, you may choose to complete the course in as little as 4 weeks or as long as 12 weeks, depending on your schedule.

The Statistics Certificate Course has been created to allow you to complete it without teaching assistance. However, if you have questions or need assistance, you can receive help from a Faculty Member throughout the 6 weeks of the course. Your Faculty Member is a valuable resource person who can provide you with personal teaching assistance to help you succeed in the course.

Course Topics

The Statistics Certificate Course has been developed to meet high academic standards, ensuring that as a graduate you can display with pride the Statistics Certificate you will earn from the International Association of Professions Career College (IAP Career College).

Sampling and Data

  • Definitions of Statistics, Probability, and Key Terms

  • Data, Sampling, and Variation in Data and Sampling

  • Frequency, Frequency Tables, and Levels of Measurement

  • Experimental Design and Ethics

Descriptive Statistics

  • Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs

  • Histograms, Frequency Polygons, and Time Series Graphs

  • Measures of the Location of the Data

  • Box Plots

  • Measures of the Center of the Data

  • Skewness and the Mean, Median, and Mode

  • Measures of the Spread of the Data

Probability Topics

  • Terminology

  • Independent and Mutually Exclusive Events

  • Two Basic Rules of Probability

  • Contingency Tables

  • Tree and Venn Diagrams

Discrete Random Variables

  • Probability Distribution Function (PDF) for a Discrete Random Variable

  • Mean or Expected Value and Standard Deviation

  • Binomial Distribution

  • Geometric Distribution

  • Hypergeometric Distribution

  • Poisson Distribution

Continuous Random Variables

  • Continuous Probability Functions

  • The Uniform Distribution

  • The Exponential Distribution

The Normal Distribution

  • The Standard Normal Distribution

  • Using the Normal Distribution

The Central Limit Theorem

  • The Central Limit Theorem for Sample Means (Averages)

  • The Central Limit Theorem for Sums

  • Using the Central Limit Theorem

Confidence Intervals

  • A Single Population Mean Using the Normal Distribution

  • A Single Population Mean Using the Student t Distribution

  • A Population Proportion

  • Hypothesis Testing with One Sample

  • Null and Alternative Hypotheses

  • Outcomes and the Type I and Type II Errors

  • Distribution Needed for Hypothesis Testing

  • Rare Events, the Sample, Decision and Conclusion

  • Additional Information and Full Hypothesis Test Examples

Hypotheses Testing with Two Samples

  • Two Population Means with Unknown Standard Deviations

  • Two Population Means with Known Standard Deviations

  • Two Independent Population Proportions

  • Matched or Paired Samples

The Chi-Square Distribution

  • Facts about the Chi-Square Distribution

  • Goodness-of-Fit Test

  • Test of Independence

  • Test of Homogeneity

  • Comparison of the Chi-Square Tests

  • Test of Single Variance

Linear Regression and Correlation

  • Linear Equations

  • Scatter Plots

  • The Regression Equation

  • Testing the Significance of the Correlation Coefficient

  • Prediction

  • Outliers

F Distribution and One-Way ANOVA

  • One-Way ANOVA

  • The F Distribution and the F-Ratio

  • Facts about the F Distribution

  • Test of Two Variances

Your Instructor

Brian Chung

Brian Chung

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