GATE Estimation: Confidence Intervals – Previous Year Questions
4 GATE previous year questions on Confidence Intervals (Estimation, Statistics) with answers and explanations, from every paper.
- GATE 2021 ST Q14 – A realization of n≥2 iid N(μ,σ²) observations is given,μ∈ℝ,σ>0. P:a 95% confidence interval for μ is unique when σ is known. Q:a 95% confidence…
- GATE 2022 ST Q18 – An iid sample of size 18 has density 2x exp(−x²/θ)/θ on x>0,zero otherwise. Let T=Σx i²,and let χ² (α,ν) denote the upper-tail α quantile. Which is a…
- GATE 2022 ST Q42 – One observation has density 2x/θ² on 0<x<θ. Using pivot X/θ,which interval is an 80% confidence interval for θ when x=10? Limits are rounded to three…
- GATE 2026 ST Q33 – A sample of size 10 has density 2(x−μ)e(−(x−μ)²) for x>μ, zero otherwise. Its observed minimum is 1. Using min X i−μ as pivot, a 95% confidence…