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The following data represent the number of days absent per year in a population of 6...

The following data represent the number of days absent per year in a population of 6 employees of a small company:   1   3   6   7   9   10

  1. Assuming that you sample without replacement, select all possible samples of size n = 3 and construct the sampling distribution of the sample mean and the sample median. Compute the mean of all sample means and all sample medians. Are they equal? What is this property?
  2. Which estimator, the sample mean or the sample median, would you use to estimate the population mean µ? Why? Justify statistically speaking your answer.
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