Let xn and s2n denote the sample mean and variance for the sample x1, ... , xn and let xnþ1 and s2 nþ1 denote these quantities when an additional observation xn+1 is added to the sample. a. Show how xnþ1 can be computed from xn and xn+1.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.