- #1
lina29
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Homework Statement
Let X1,…,Xn denote a random sample from a population with mean μ and variance σ^2. Assume that both μ and σ^2 are finite but unknown. Let X denote the sample mean and S^2 denote the sample variance. Are the following statements true or false?
A-There is no difference between X and μ - the two are different notations for the same quantity.
B- There is no difference between S^2 and σ^2 - the two are different notations for the same quantity.
C- X is an unbiased estimator for μ.
D- The standard error of X is σ/(sqrt n) which can be estimated as S/sqrt(n).
Homework Equations
The Attempt at a Solution
I believe I have the right answers I just want to double check
A- yes
B- yes
C- yes
D- no