Mathematics · Hypothesis Testing
Let X 1 , X 2 be i.i.d. random variables uniformly distributed on the interval (0, θ). Consider testing H 0 : θ = 1 versus H 1 : θ = 2. Which of the following tests has size ≤ 0.5 and power ≥ 0.5?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1Reject H 0 if and only if X 1 - X 2 ≥ 0
- 2Reject H 0 if and only if X 1 ≥ 0.4
- 3Reject H 0 if and only if max{X 1 , X 2 } ≥ 1✓
- 4Reject H 0 if and only if max{X 1 , X 2 } ≥ 1.6
Correct answer
Reject H 0 if and only if max{X 1 , X 2 } ≥ 1
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Hypothesis Testing MCQs →Want more practice questions on Hypothesis Testing?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Hypothesis Testing