MA3251 Statistics and Numerical Methods Previous Year Question Papers - Anna University

UNIT 1 – Testing of Hypothesis

Part A

• Define Null and Alternative hypothesis
• Types of errors (Type I & Type II)
• Formula for Z-test (difference between proportions)
• Conditions for Chi-square test

Part B

• Perform Z-test for mean (large sample)
• Perform F-test for equality of variances
• Chi-square goodness of fit test
• Test of independence (contingency table)

UNIT 2 – Design of Experiments

Part A

• Principle of ANOVA
• Define Randomization and Replication
• Degree of freedom in Latin Square Design

Part B

• Solve One-way ANOVA (CRD)
• Solve Randomized Block Design (RBD)
• Analyze Latin Square Design (LSD)

UNIT 3 – Solution of Equations & Eigenvalue Problems

Part A

• Convergence condition of Newton-Raphson method
• Difference between Gauss Elimination & Gauss Jordan
• Principle of Power method

Part B

• Solve equation using Newton-Raphson method
• Solve system using Gauss-Seidel method
• Solve system using Gauss Elimination method
• Find eigenvalue and eigenvector (Power method)

UNIT 4 – Interpolation & Numerical Integration

Part A

• Lagrange interpolation formula
• Newton-Cotes formula
• Error in Simpson's 1/3 rule

Part B

• Solve using Newton Forward/Backward interpolation
• Solve using Lagrange / Divided difference method
• Evaluate integrals using Simpson's rules
• Evaluate using Gaussian quadrature

UNIT 5 – Numerical Solution of ODE

Part A

• Runge-Kutta (RK4) formula
• Milne's Predictor-Corrector formulas
• Difference: Taylor vs Euler method

Part B

• Solve ODE using RK4 method
• Solve using Modified Euler method
• Solve using Milne's method
• Solve using Taylor series method

Most Repeated / High-Weight Questions

Hypothesis testing, ANOVA, numerical methods for solving equations, interpolation techniques, Simpson's rules, Runge-Kutta method, design of experiments.