Previous year questions

The complete June 2023 paper is solved and free to read — every question, with the reasoning behind each option.

Every PYQ solved, tagged by topic and trap type. Free samples are open; the full set needs the PYQ Pack.

2023 DecemberPart Ckolmogorov-scalingshow ▾

Locked — Hypothesis Testing. Unlock the PYQ Pack

2023 DecemberPart Cestimability-in-anovashow ▾

Locked — Linear Models and Multivariate. Unlock the PYQ Pack

2023 DecemberPart Ccentral-vs-noncentralshow ▾

Locked — Linear Models and Multivariate. Unlock the PYQ Pack

2023 DecemberPart Cwishart-quadratic-formsshow ▾

Locked — Linear Models and Multivariate. Unlock the PYQ Pack

2023 DecemberPart Cspearman-for-bivariate-normalshow ▾

Locked — Linear Models and Multivariate. Unlock the PYQ Pack

2023 DecemberPart Cshow ▾

Consider a population of 3 units having values 2, 4 and 6. A simple random sample (without replacement) of 2 units is drawn. Let M be the sample mean. Which of the following statements are true?

A.E(M) = 4✓
B. $E (M^{2}) = 17$
C. $E (M^{3}) = 72$ ✓
D.Var(M) = 1

Solution

M takes the values 3, 4, 5 with probability 1/3 each: $E (M) = 4, E (M^{2}) = 50/3, E (M^{3}) = 72, V a r (M) = 2/3$ .

Topic: Sampling and Design of Experiments › SRS, stratified and systematic sampling

2023 DecemberPart Cpooled-variance-formulashow ▾

Locked — Sampling and Design of Experiments. Unlock the PYQ Pack