Question: =+57. Consider a sample x1, . . . , xn, and let xk and sk 2 denote the sample mean and variance, respectively, of the

=+57. Consider a sample x1, . . . , xn, and let xk and sk 2

denote the sample mean and variance, respectively, of the first k observations.

a. Show that ks2 k11 5 (k 2 1)sk 2 1 k

k 1 1

(xk11 2 xk)

2

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