Mathematics · Statistical Inference
Suppose X1, X2, ..., Xn are independently and identically distributed N(θ, 1) random variables, for θ ∈ ℜ. Let X̅ = n-1 ∑i=1n Xi denote the sample mean and let t0.975, n-1 denote the 0.975-quantile of a Student's t-distribution with n - 1 degrees of freedom. Which of the following statements is true for the interval X̅ ± t0.975, n-1 / √n?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1The interval is not a confidence interval.
- 2The interval is a confidence interval for θ with a confidence level greater than 0.95.✓
- 3The interval is a confidence interval for θ with a confidence level less than 0.95.
- 4The interval is a confidence interval for θ with a confidence level of exactly 0.95.
Correct answer
The interval is a confidence interval for θ with a confidence level greater than 0.95.
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 Statistical Inference MCQs →Want more practice questions on Statistical Inference?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Statistical Inference