T distribution | t-Test | Part 4

📘 Problem: A certain stimulus administered to each of 12 patients resulted in the following change in blood pressure (mm Hg): 5, 2, 8, -1, 3, 0, 6, -2, 1, 5, 0, 4. Can it be concluded that the stimulus increases blood pressure? Given: t₀.₀₅ = 2.201 for 11 degrees of freedom. 🎯 Concept Covered: 👉 One-sample t-test (testing population mean difference) 👉 Calculation of sample mean and standard deviation 👉 Finding calculated t-value and comparing with t-table value 👉 Testing whether the mean change greater than 0 (increase in pressure) 👉 Decision on null hypothesis (H₀: μ = 0) vs alternative (H₁: μ greater than 0) 📚 Topic: Statistical Inference – Hypothesis Testing (t-test for Mean) 🎓 Applicable For: VTU | Engineering Mathematics-III | Module 4 💎 Support Us: Join our channel and get access to exclusive perks 👇 🔗 https://www.youtube.com/channel/UC_OTtwh8_-q-bA7DoS--syg/join T distribution & t-Test Explained | Statistical Inference: https://www.youtube.com/playlist?list=PLM9RnGtTy9_8-OzGo9uc-_GTADOoEPoM- 🎥 Playlist Videos: 1️⃣ T Distribution | t-Test for Mean Height | Part 1 🔗 https://youtu.be/bFxmakY69c0 2️⃣ T Distribution | t-Test for Mean Height | Part 2 🔗 https://youtu.be/ar_J3aEuXt4 3️⃣ T Distribution | t-Test | Part 3 🔗 https://youtu.be/ZX444LoOtkk 4️⃣ T Distribution | t-Test | Part 4 🔗 https://youtu.be/mpNdqcx9NpM #tTest #HypothesisTesting #StatisticalInference #EngineeringMathematics3 #VTUMaths #MathsMadeSimple #VTU #MathsForEngineers #tDistribution #SmallSampleTest #StatisticsForEngineers #MathsTutorial #VTUExamPreparation