Given a random sample of size n from a population with mean mu and variance sigma^2, the sample mean has the following expected value and variance: (A) E(x-bar) = mu, Var(x-bar) = sigma^2/n (B) E(x-bar) = n*mu, Var(x-bar) = n*sigma^2 (C) E(x-bar) = mu, Var(x-bar) = sigma^2 (D) E(x-bar) = mu, Var(x-bar) = n*sigma^2

UGC-NET 2023 Question 17: Sampling distributions and limit theorems

Given a random sample of size n from a population with mean mu and variance sigma^2, the sample mean has the following expected value and variance:

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Sampling distributions and limit theorems has come up 25 times in 7 exams since 2007.

This question is on Sampling distributions of the mean and proportion, part of Sampling distributions and limit theorems in Statistics.

How sample statistics vary from sample to sample and how precisely they estimate.

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