10-33. Let X1, . . . ,Xn represent a random sample taken from a population with meanand...

10-33. Let X1, . . . ,Xn represent a random sample taken from a population with meanμand variance σ2. Let Xn = 1n

ni

=1 Xi and S2n

= 1

(n−1) ni

=1(Xi−X)2 depict sequences of estimators for μ and σ2, respectively. Verify that {Xn}

and {S2n } are mean–squared–error–consistent sequences of estimators for μ and σ2, respectively.