Suppose you take independent random samples from populations with means µi and µz. Furthermore, assume either that (i) both populations have normal distributions, or (ii) the sample sizes (ni and nz2) are large. If X1 and X2 are the random sample means, and S, and Sz are the random sample standard deviations, then how does the quantity behave? Give the name of the distribution and any parameters needed to describe it.

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A: The prior Standard deviation is obtained below:

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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.