t test | Hypothesis testing | Part 3

VTU Model Question Paper – 2025 (Question Paper Information) Course: BCS301 – Mathematics III (for Computer Science Engineering) Module: 4 – Statistical Inference Paper: Model Question Paper–1 Question No.: 8c Question: The 9 items of a random sample have the following values: 45, 47, 50, 52, 48, 47, 49, 53, 51. Does the mean of this sample differ significantly from the assumed mean of 47.5 at 5 percent level of significance? 📊 BCS301 Mathematics-III | Module 4 – Statistical Inference-II (VTU) ✅ COMPLETE VTU QUESTION PAPERS SOLVED Dec / Jan / June–July | Model Question Papers ▶️ FULL PLAYLIST LINK 👇 https://www.youtube.com/playlist?list=PLM9RnGtTy9__EDlLg82LDKq6I0DxHtzXs ━━━━━━━━━━━━━━━━━━━━━━ 🔥 CENTRAL LIMIT THEOREM (MOST IMPORTANT) https://youtu.be/T1ArXeO2lC4 https://youtu.be/_wRzdvs3S4M https://youtu.be/D8PKkKjPOO4 https://youtu.be/uyaxCux97Pw https://youtu.be/7W6QSxOw46g ━━━━━━━━━━━━━━━━━━━━━━ 📘 CONFIDENCE INTERVAL FOR MEAN https://youtu.be/PCk_mGKMG4Y https://youtu.be/sbMxgpcZP9o https://youtu.be/PHu5oWCxgFk https://youtu.be/Hb-DZnxpDBc https://youtu.be/zJksRJLcNKY https://youtu.be/6GtKXgAOXwU ━━━━━━━━━━━━━━━━━━━━━━ 📊 CHI-SQUARE TEST (GOODNESS OF FIT) https://youtu.be/b73eYTgRP7o https://youtu.be/aqtVGNE3F-g https://youtu.be/A12W45dN43s https://youtu.be/aV5vLekjTtY https://youtu.be/b_6GwImd0VU https://youtu.be/4EsWmrgzgPc https://youtu.be/3ULHvNDl-6w https://youtu.be/Y61vng_r7XU https://youtu.be/0n4stawGRzM ━━━━━━━━━━━━━━━━━━━━━━ 📊 t-TEST | HYPOTHESIS TESTING https://youtu.be/KBV4kEkmEd0 https://youtu.be/wIl1VdNepM0 https://youtu.be/xxS6JJfb5ec https://youtu.be/01aSWQL43uM https://youtu.be/UERnX4UU-VI ━━━━━━━━━━━━━━━━━━━━━━ 📘 F-TEST FOR EQUALITY OF VARIANCES https://youtu.be/nP7pBzhsvdE https://youtu.be/XdETseSUEAo https://youtu.be/cM7_takZ2_I ━━━━━━━━━━━━━━━━━━━━━━ 📘 BCS301 – Mathematics III (All Modules) Module 1 – Probability Distributions 🔥 Most Important 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_8R5OoIDMXEpLD9twudnx4w ⭐ Important 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9__TpPYt4LJoHm5VTpuLTbs4 📝 Model Papers 👉 MP–I: https://www.youtube.com/playlist?list=PLM9RnGtTy9__AO6LBTv74f1ez4t05l-t_ 👉 MP–II: https://www.youtube.com/playlist?list=PLM9RnGtTy9_9Yph_dJpH0nLiSXaNudr-D 👉 New MP–I: https://www.youtube.com/playlist?list=PLM9RnGtTy9_90gTrpDFCJg_22L8kGD0wl Module 2 – Joint Probability & Markov Chain 🔥 Most Important 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9__tHScGtIbEKqfPXlEwyYAb ⭐ Important 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_-cFq8f11Ymx4zxS9McZSYe 📝 Model Papers 👉 MP–I: https://www.youtube.com/playlist?list=PLM9RnGtTy9_8Z051hTVaVytZVe-GKNDdm 👉 MP–II: https://www.youtube.com/playlist?list=PLM9RnGtTy9_8TbVyBn68GViY2ClpU-t7y 👉 New MP–I: https://www.youtube.com/playlist?list=PLM9RnGtTy9__g6G1Wsi5Ms85pugI96hj- Module 3 – Statistical Inference I 🔥 Most Important 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_96Q4Tt0x2gSGfbCRhuudqA ⭐ Important 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9__T7jiz9ZjbPt_eI7RPqmu4 📝 Model Papers 👉 MP–I: https://www.youtube.com/playlist?list=PLM9RnGtTy9_8qgimBQo0zs_GXRA-chT5X 👉 MP–II: https://www.youtube.com/playlist?list=PLM9RnGtTy9_8xhnza2TpHFx1WK3UAw_iF 👉 New MP–I: https://www.youtube.com/playlist?list=PLM9RnGtTy9__tv7_9XMLJ5vBM8bEL2vDm Module 4 – Statistical Inference II 🔥 Most Important 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9__EDlLg82LDKq6I0DxHtzXs ⭐ Important 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_9DQqapaHRF54c1j-9gGfh6 📝 Model Papers 👉 MP–I: https://www.youtube.com/playlist?list=PLM9RnGtTy9_9QBTqauNTIjJf87APhRrrJ 👉 MP–II: https://www.youtube.com/playlist?list=PLM9RnGtTy9_9kdke4YM_MI-iIxnlit2Rw 👉 New MP–I: https://www.youtube.com/playlist?list=PLM9RnGtTy9__75ToTdvUVOP1CY3EQBHsU Module 5 – Design of Experiments & ANOVA 🔥 Most Important 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_8p2i14gt4qpFF5DlIfuUHX ⭐ Important 👉 https://www.youtube.com/playlist?list=PLM9RnGtTy9_8OfKiq0HL4vQCdUyG7IAYQ 👉 Follow VTU Maths with Muheeb (Mathematics Tutor) on WhatsApp https://whatsapp.com/channel/0029Vb6ct0L30LKOlXViVx3Y 👉 Get all VTU Maths updates and video links on Telegram https://t.me/vtumathswithmathematicstutor 💎 Support Us: Join our channel and get access to exclusive perks 👇 🔗 https://www.youtube.com/channel/UC_OTtwh8_-q-bA7DoS--syg/join #statistics #t-test #VTU #StatisticalInference #MathematicsIII #BCS301 #HypothesisTesting