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choose 4 letters in the alphabet using simple and systematic random sampling. explain how you did...

choose 4 letters in the alphabet using simple and systematic random sampling. explain how you did it.

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Answer #1

There are 26 letters in English alphabets.

Simple random sampling:

It is a technique of drawing a sample in such a way that each unit of population has an equal and independent chance of being selected in the sample.

Suppose we have a box in which 26 cards are present and each card has print a different alphabets then a person with blindfolded selected a random card and we noticed it the 1st card is B and he again randomly draw 2nd, 3rd and 4th card one by one and we noticed each time drawn card is F, A, S respectively.

Thus, the obtained alphabets by this method are B, F, A, S which is a simple random sample.

It is a simple method because there is not any long procedure of selecting samples

The selection is sample is unbiased as it is being selected by a blindfolded person or a selecting a random card without any prior justification.

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Systematic random sampling:

It is a type of sampling, in which we have to select only any 1st unit of the population at random, and the rest being automatically selected according to some pre-determined pattern involving regular spacing of the units.

For instance:

Let suppose the pre-determined regular spacing of the units be 4 that means we have to jump 4 units after selecting a unit from the population at random.

Let the 1st unit of the alphabet selected at random be C then on pre-determined regular spacing the other 3 alphabets will be H, M, R.  

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