Hypothesis Testing - Part 18 - Introduction to Hypothesis Testing - CFA Level 1 (QM)

In this lecture, we discuss the Paired t-Test, which is used when two sets of observations are related or dependent on each other. The focus is on understanding how hypothesis testing is applied when observations arise from the same subjects, matched pairs, or before-and-after situations. Topics Covered: • Meaning and purpose of a Paired t-Test • When observations are considered dependent or paired • Formulation of Null and Alternative Hypotheses • Computing the differences between paired observations • Application of the t-Test to the mean difference • Interpretation of the test statistic • Understanding the decision rule • Drawing the appropriate statistical conclusion • Practical approach to solving examination-oriented questions This lecture is part of the Hypothesis Testing Series, where statistical concepts are explained in a simple, logical, and application-oriented manner. The objective is to clearly understand why a Paired t-Test is different from a test involving two independent samples, and how to identify the correct approach in a question. Mentor: Nikhil Jobanputra Hypothesis Testing - Part 1 | Discrete & Continuous Data, Probability Distribution | CFA Level 1 -QM    • Hypothesis Testing - Part 1 | Discrete & C...   Hypothesis Testing - Part 2 - Standard Normal Distribution vs 't' - Distribution - CFA Level 1 (QM)    • Hypothesis Testing - Part 2 - Standard Nor...   Hypothesis Testing - Part 3 - 'z' Distribution vs 't' Distribution - CFA Level 1 (QM)    • Hypothesis Testing - Part 3 - 'z' Distribu...   Hypothesis Testing - Part 4 | Procedure, Null & Alternative Hypothesis | CFA Level 1 - Quants (QM)    • Hypothesis Testing - Part 4 | Procedure, N...   Hypothesis Testing - Part 5 | How to Identify Null & Alternative Hypothesis | CFA Level 1 – QM    • Hypothesis Testing - Part 5 | How to Ident...   Hypothesis Testing - Part 6 | One-Tailed vs Two-Tailed Tests | CFA Level 1 – QM    • Hypothesis Testing - Part 6 | One-Tailed v...   Hypothesis Testing - Part 7 | Significance Level & Critical Values | CFA Level 1 – QM    • Hypothesis Testing - Part 7 | Significance...   Hypothesis Testing - Part 8 | Application of Z-Test & Rejection Rule | CFA Level 1 – QM    • Hypothesis Testing - Part 8 | Application ...   Hypothesis Testing - Part 9 | Significance Level, Type I Error & P-Value | CFA Level 1 – QM    • Hypothesis Testing - Part 9 | Significance...   Hypothesis Testing - Part 10 | Complete Application of Z-Test with Examples | CFA Level 1 – QM    • Hypothesis Testing - Part 10 | Complete Ap...   Hypothesis Testing - Part 11 | 4 Approaches to Z-Test Decision | CFA Level 1 – QM    • Hypothesis Testing - Part 11 | 4 Approache...   Hypothesis Testing - Part 12 | t-Test, Paired t-Test, F-Test & Chi-Square Test | CFA Level 1 – QM    • Hypothesis Testing - Part 12 | t-Test, Pai...   Hypothesis Testing - Part 13 | Z-Test vs t-Test – Which Test to Use? | CFA Level 1 – QM    • Hypothesis Testing - Part 13 | Z-Test vs t...   Hypothesis Testing - Part 14 | Type I & Type II Errors, Beta & Power of a Test | CFA Level 1 – QM    • Hypothesis Testing - Part 14 | Type I & Ty...   Hypothesis Testing - Part 15 | Application of t-Test for Population Mean | CFA Level 1 – QM    • Hypothesis Testing - Part 15 | Application...   Hypothesis Testing - Part 16 | Application of t-Test for Population Mean | CFA Level 1 – QM    • Hypothesis Testing – Part 16 | t-Test for ...   Hypothesis Testing - Part 17 | Application of t-Test for Population Mean | CFA Level 1 – QM    • Hypothesis Testing - Part 17 | Application...   ►►About CA Nikhil Jobanputra: CA NIKHIL JOBANPUTRA is a highly respected & accomplished professional educator with a demonstrated trajectory in the field of training CFA, CA and CMA students, known for his proficiency, dedication, and commitment in delivering top quality professional training and proven results. With over 25 years of experience, he has coached over 50,000 students across India. His expertise lies in teaching CFA, CA and CMA students, notably in Derivatives, Fixed Income, Financial Statement Analysis & Portfolio Management. He realized his penchant for teaching in 1997, when he started his Institute, post that there was no stopping him and the journey still continues as a Founder Faculty of Incito Academy. He is the founder and core faculty of SFM Guru, an institution that is known for making the learning experience interesting and engaging. #CFALevel1 #SamplingTheory #QuantitativeMethods #HypothesisTesting #PairedTTest #TTest #Statistics #QuantitativeMethods #FinanceLearning #NikhilJobanputra #StatisticalInference