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MAT1 MATHEMATICAL TRIPOS Part IB Tuesday, 04 June, 2024 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2024/paperib_1_2024.pdf3 Jul 2024: consider the following two tests:. Test 1: Reject H0 if X1 > 0.95;. ... d) Is either Test 1 or Test 2 uniformly most powerful for testing the hypotheses? -
MAT1 MATHEMATICAL TRIPOS Part IB Wednesday, 05 June, 2024 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2024/paperib_2_2024.pdf3 Jul 2024: i) Suppose the gambler wishes to test the hypothesis that the die is fair. ... What arethe null and alternative hypotheses? (ii) Describe Pearson’s test. What is the limiting distribution of the Pearson statisticunder the null hypothesis? -
MATHEMATICAL TRIPOS Part IB 2024 List of Courses Analysis ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2024/list_ib.pdf3 Jul 2024: MATHEMATICAL TRIPOS Part IB 2024. List of Courses. Analysis and Topology. Complex Analysis. Complex Analysis or Complex Methods. Complex Methods. Electromagnetism. Fluid Dynamics. Geometry. Groups, Rings and Modules. Linear Algebra. Markov Chains. -
MAT1 MATHEMATICAL TRIPOS Part IB Thursday, 06 June, 2024 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2024/paperib_3_2024.pdf3 Jul 2024: sample from a N(µ,1) population, and we wish to. test the hypothesisH0 : µ = 0 against H1 : µ ̸= 0. ... a) Define a level-α hypothesis test based on X̄ = 1nn. -
MAT0 MATHEMATICAL TRIPOS Part IA Thursday, 30 May, 2024 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2024/paperia_1_2024.pdf3 Jul 2024: i) State and prove the ratio test about the convergence of series. -
MAT2 MATHEMATICAL TRIPOS Part II Tuesday, 04 June, 2024 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2024/paperii_2_2024.pdf3 Jul 2024: satisfying the usual regularity conditions, where Θ Rp. Suppose we wish to test. ... By considering an appropriate Taylor expansion, show that the two test statisticsabove are asymptotically equivalent, in the sense that. -
MAT2 MATHEMATICAL TRIPOS Part II Friday, 07 June, 2024 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2024/paperii_4_2024.pdf3 Jul 2024: What is the AIC value of that model? (e) State the null and alternative hypotheses for the test performed in the codebelow and describe the form of the test. -
MAT2 MATHEMATICAL TRIPOS Part II Monday, 03 June, 2024 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2024/paperii_1_2024.pdf3 Jul 2024: c) State the null and alternative hypotheses for the hypothesis test performed usingthe anova command. ... Part II, Paper 1 [TURN OVER]. 28. 38B General Relativity. Consider a massive test particle moving in the Schwarzschild metric of a black holewith -
MATHEMATICAL TRIPOS Part IA 2024 List of Courses Analysis ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2024/list_ia.pdf3 Jul 2024: 9F Analysis I. (i) State and prove the ratio test about the convergence of series. -
MATHEMATICAL TRIPOS Part II 2024 List of Courses Algebraic ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2024/list_ii.pdf4 Jul 2024: MATHEMATICAL TRIPOS Part II 2024. List of Courses. Algebraic Geometry. Algebraic Topology. Analysis of Functions. Applications of Quantum Mechanics. Applied Probability. Asymptotic Methods. Automata and Formal Languages. Classical Dynamics. Coding
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