Question

I want to take a survey of students currently enrolled in my statistics course. There are 250 of them, so I number them from 001 to 250 in alphabetical order.

69041 65817 87174 09514 8174 06423 93758 23612 17894
If I use the portion of the given random number table to select the first five students to be interviewed, which five numbers will be selected?

690, 416, 581, 787, 174

174, 095, 148, 174, 064

174, 095, 148, 064, 239

Answer 1

174, 095, 148, 064, 239

Explanation:

This is a "simple random sample" problem in which we randomly select a sample from a larger population therefore everyone has same probability of being selected.

Total students: 250

Labeled as 001, 002, 003,.....250

The generated random number table is:

69041 65817 87174 09514 8174 06423 93758 23612 17894

Now we have to arrange/sort this random number table in groups of three numbers.

690, 416, 581, 787, 174, 095, 148, 174, 064, 239, 375, 823, 612, 178, 94

Now we have to select first 5 distinct numbers in the range of 001 to 250

The first four numbers (690, 416, 581, 787) are out of range so ignore them.

Next we find our first three numbers (174, 095, 148)

Next we have number (174) again that we have already selected so ignore it.

Next we find our fourth and fifth number (064, 239)

We are done with selecting 5 numbers and these are:

174, 095, 148, 064, 239