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Assume a finite population has 10 elements. Number the elements from 1 to 10 and use the following 10 random numbers to select a sample of size 4 .

.7545$\quad .0936 \quad .0341 \quad .3242 \quad .1449 \quad .9060 \quad .2420 \quad .2473 \quad .5428 \quad .0729$

$2,3,5,10$

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All right, So this question gives us a list of random numbers, and it wants us to use the randomly generated numbers to come up with a random sample of size four. So when given random numbers in a population, here's our sampling process. First order everything order elements from one to end. So we give each number in the lest of position, Then we generate random numbers, which means giving each number in this population a different random number. And then for our sample, pick the elements with the smallest random numbers. Okay, so now that we have our process, we can create our sample. So if it already generated than random numbers, so we just have to order them from one end, which in this case is 10. So we can just order these from 1 to 10. Then he wants us to generate random numbers for each, which is already done. And now it wants us to pick the elements with the smallest numbers for our sample size. So going through our sample, we can see that the four smallest numbers are in positions too. Three, five and 10 are the smallest, which means that that is our sample of four

University of Michigan - Ann Arbor