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Q.Does the lottery method always give you a random sample ? Explain.

Karnataka PUCKarnataka 1st PUC Commerce Board 2024Subjective· 4mImportance★★★★★
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The lottery method yields a random sample only when it is done fairly — identical slips, thorough mixing, blind drawing. Any lapse makes it non-random.

In the Karnataka 1st PUC Statistics course, the lottery method is the basic technique of simple random sampling: each member of the population is given a numbered slip, all slips are folded and put in a box, and the required number of slips is drawn.

Does it always give a random sample? No — only if certain conditions are met. A sample is truly random only when every unit has an equal and independent chance of being selected. The lottery method achieves this only if:

  • all slips are of identical size, shape and texture (so none can be identified by touch),
  • the slips are thoroughly and repeatedly mixed before each draw, and
  • the draw is done blindly, without looking or any personal preference. …

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