📈 Tests for Mean – DATA1001 USYD Week 10 Summary Notes

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Description: These detailed notes cover Week 10: Tests for Mean from the University of Sydney’s DATA1001 (Introduction to Data Science) course. Perfect for mastering hypothesis testing involving means and proportions in preparation for quizzes and finals. ✅ Topics Covered: HATPC Framework: Hypotheses, Assumptions, Test Statistic, P-value, Conclusion One-Sample t-Test (unknown population SD) Two-Sample t-Test (independent samples) Welch’s Test for unequal variance Z-Test for Mean (known population SD) Z-Test for Proportion Paired T-Test for non-independent data Confidence intervals and interpretation Assumption checks: QQ plots, boxplots, Levene’s Test, Shapiro-Wilk Test Comparative summary tables for choosing the right test Real-world examples (, caffeine & athletic performance) 📊 Includes: Step-by-step structure to apply statistical inference properly Visual intuition for test conditions (, tails, significance level) Summary tables to help quickly identify when to use each test 📝 Based on lecture content, examples, and reworded in a clear, student-friendly format to make revision easy.