Answer to Question #341511 in Statistics and Probability for Kyle

Question

Given μ = -10, σ = 5, n=500, find 𝜇𝑋̅ and 𝜎 2 𝑋̅ Solution

Answer 1

$$\mu_{\bar{X}}=\mu=-10$$

$$\sigma_{\bar{X}}^2=\dfrac{\sigma^2}{n}=\dfrac{5^2}{500}=0.05$$