Q: Population σ = 12. For samples of n = 36, describe the sampling distribution of X̄. X̄ ~ N(μ, 12²/36) = N(μ, 4). SE = 12/6 = 2. Sample means vary with SD 2 around μ. P(X̄ within 4 of μ) = P(|Z| < 2) = 0.9544!