An inspector for the U.S. Food and Drug Administration obtains all vitamin pills

Question

An inspector for the U.S. Food and Drug Administration obtains all vitamin pills produced in an hour at the Health Supply Company. She thoroughly mixes them, then scoops a sample of 10 pills that are to be tested for the exact amount of vitamin content. Does this sampling plan result in a random sample? Explain. This sampling plan does not result in a true random sample. It is a random sample of a cluster sample. Since the pills produced in that one hour were separated from all the other pills, not every pill had the same chance of being chosen.

Explanation / Answer

I would say it is a random sample.It is because I am assuming that the total number of vitamin pills produced are much much greater than 10 and that she is mixing thoroughly to get a uniformity in the mixture.

Moreover her sample would tend to normality is she takes a relatively larger sample of size greater than 30.

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