Assume a population of 2​,4​, and 9. Assume that samples of size n=2 are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts a through d below.   2​,2 2​,4 2​,9 4​,2 4​,4 4​,9 9​,2 9​,4 9​, a. Find the value of the population standard deviation σ. σ=2.94392 Part B: Find the standard deviation of each of the nine​ samples, then summarize the sampling distribution of the standard deviations in the format of a table representing the probability distribution of the distinct standard deviation values. Use ascending order of the sample standard deviations.   s Probability     ▼1.8 0 1       ▼1.414 2 2.5       ▼   6.4 3.536 12.5     ▼   4.95 24.5 7   ​(Type integers or​ fractions.) ​(Round to three decimal places as​ needed.)

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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.