A small population of N = 12 has values of 2, 2, 3, 4, 4, 7, 8, 8, 8, 9, 12, 12. Take ten samples of size 3 and calculate the mean for each. Then calculate the mean of these ten sample means. Is the mean of these sample means a good approximation of the population mean? Why or why not.
What will be an ideal response?
It is a rough approximation of the population mean. It is only an approximation, however, because we did not draw an infinite number of samples of size 3.
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