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Probability and Statistics IV: Confidence Intervals and Hypothesis Tests
Course
en
English
24 h
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- Self-paced
- Free Access
- Fee-based Certificate
- 4 Sequences
- Intermediate Level
Course details
Syllabus
“FCPS” refers to the free text, A First Course in Probability and Statistics: free access is provided via a PDF file or as a book
Module 1: Confidence Intervals
• Lesson 1: Introduction to Confidence Intervals (FCPS §6.1)
• Lesson 2: Normal Mean (variance known) (FCPS §6.2)
• Lesson 3: Difference of Two Normal Means (variances known) (FCPS §6.3)
• Lesson 4: Normal Mean (variance unknown) (FCPS §6.4)
• Lesson 5: Difference of Two Normal Means (unknown equal variances) (FCPS §6.5.1)
• Lesson 6: Difference of Two Normal Means (variances unknown) (FCPS §6.5.2)
• Lesson 7: Difference of Paired Normal Means (variances unknown) (FCPS §6.5.3)
• Lesson 8: Normal Variance (FCPS §6.6)
• Lesson 9: Ratio of Variances of Two Normals (FCPS §6.7)
• Lesson 10: Bernoulli Proportion (FCPS §6.8)
Module 2: Hypothesis Testing
• Lesson 1: Introduction to Hypothesis Testing (FCPS §7.1)
• Lesson 2: The Errors of Our Ways (FCPS §7.1)
• Lesson 3: Normal Mean Test with Known Variance (FCPS §7.2.1)
• Lesson 4: Normal Mean Test with Known Variance: Design (FCPS §7.2.2)
• Lesson 5: Two-Sample Normal Means Test with Known Variances (FCPS §7.2.3)
• Lesson 6: Normal Mean Test with Unknown Variance (FCPS §7.3.1)
• Lesson 7: Two-Sample Normal Means Tests with Unknown Variances (FCPS §7.3.2)
• Lesson 8: Two-Sample Normal Means Test with Paired Observations (FCPS §7.3.2)
• Lesson 9: Normal Variance Test (FCPS §7.4.1)
• Lesson 10: Two-Sample Normal Variances Test (FCPS §7.4.2)
• Lesson 11: Bernoulli Proportion Test (FCPS §7.4.3)
• Lesson 12: Two-Sample Bernoulli Proportions Test (FCPS §7.4.4)
• Lesson 13: Goodness-of-Fit Tests: Introduction (FCPS §7.5.1)
• Lesson 14: Goodness-of-Fit Tests: Examples (FCPS §7.5.2)
• Lesson 15 [OPTIONAL]: Goodness-of-Fit Tests: Honors Example (FCPS §7.5.3)
Prerequisite
Learners will be expected to come in knowing some set theory and basic calculus, as well as the material from the previous courses in this series ( A Gentle Introduction to Probability , Random Variables, and A Gentle Introduction to Statistics ). The prerequisite material is all available for you to access; and in any event, we will make the current course as self-contained as possible. In addition, this course will involve a bit of computer programming, so it would be nice to have at least a little experience in something like Excel and/or the R freeware statistical package.
Instructors
David Goldsman
Professor of Industrial and Systems Engineering
The Georgia Institute of Technology
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