1. **State the problem:** You want to select a simple random sample of 5 students from a list of 687 registered students.
2. **Discuss procedures for simple random sampling:**
- A simple random sample means every student has an equal chance of being selected.
- Valid methods include:
- Numbering each student from 1 to 687 and using a random number table to select 5 unique numbers.
- Writing each name on a piece of paper, mixing them, and drawing 5.
- Invalid methods include:
- Asking students to come to a meeting and selecting from those present (not random).
- Taking the first five names in alphabetical order (biased).
3. **Answer for part (a):**
- Procedures A and B are correct.
- Procedures C and D are incorrect.
4. **Obtain the sample using the random number table:**
- The random number table provided is:
73397 87925
18656 06084
86671 48650
96681 73982
17408 47248
57680 60381
42612 71225
62652 95963
14831 91512
72613 23826
- We read down the first column of the first block (first 5-digit numbers):
7 3 3 9 7
1 8 6 5 6
8 6 6 7 1
9 6 6 8 1
1 7 4 0 8
5 7 6 8 0
4 2 6 1 2
6 2 6 5 2
1 4 8 3 1
7 2 6 1 3
- Extract 3-digit numbers from top to bottom:
733, 971, 865, 686, 671, 966, 681, 740, 857, 680, 426, 126, 265, 214, 831, 726
- Only numbers between 001 and 687 are valid student numbers.
- Valid numbers from above are: 186, 174, 576, 426, 626, 148, 238, 613
- Select the first 5 unique valid numbers:
186, 174, 576, 426, 626
5. **Final answer:** The simple random sample of 5 students is 186, 174, 576, 426, 626.
Random Sample F2Ff48
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.