9. Sampling the Faculty A community college employs 87 full-time faculty members

Question

9. Sampling the Faculty A community college employs 87 full-time faculty members. To gain the faculty's opinions about an upcoming building project, the college president wishes to obtain a simple random sample that will consist of 9 faculty members. He numbers the faculty from 1 to 87. (a) Using Table I from Appendix A, the president closes his eyes and drops his ink pen on the table. It points to the digit in row 5, column 22. Using this position as the starting point and proceeding downward, determine the numbers for the 9 faculty members who will be included in the sample. (b) If the president uses technology, determine the numbers for the 9 faculty members who will be included in the sample.

Explanation / Answer

Here we have to identify the 9 faculty members so we will choose it by professor random number table.

Row 5 colum 22 starts with 8 and the column 23 is 3

so first faculty is

1. Number 83

2. Number 29

3. NUmber 47

4. Number 46

5. Number 08

6. Now we can see that after 08 the next 2 digits are 89 so here 89 is out of 87 so next two digits can be 94 which will also be out of 87 so the next two digits are 44 so Here the number 6 is

Number 44

7. The next number is 08 again so here we discard it and choose 26

Number 26

8. THe next number is Number 40

9. Again there is number 08 so we will discard it so we will choose the number 43.

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