Probability and Statistics IV: Confidence Intervals and Hypothesis Tests

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“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)

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