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The problem you've posted is asking to select a random sample of 8 students from a population of 7,651 students using a random number table, starting at a specific position (row 2, column 4).

The key steps to solve this problem are:

1. **Start at the specified position**: In this case, the pen points to the digit in **row 2, column 4** of the random number table.
2. **Proceed downward**: We read through the table following the numbers and collect appropriate student numbers.
3. **Form student IDs**: Since the student numbers range from 1 to 7,651, we are dealing with four-digit numbers. Any number from the random number table that exceeds 7,651 should be ignored, as it's out of the range.

Unfortunately, the random number table isn't provided in the image. To solve the problem, you'd need to:

- Open the random number table provided by the assignment.
- Start at row 2, column 4, and extract 8 valid four-digit numbers within the range from 1 to 7,651.

Would you like more details on how to interpret a random number table, or do you have a specific random number table you'd like help navigating? Let me know if you have any questions!

Here are some further questions to deepen your understanding:
1. How do you interpret random number tables when sampling?
2. Why is it important to ignore numbers outside the population range in random sampling?
3. What are the benefits of using simple random sampling in statistics?
4. How does the size of a sample affect the reliability of a study's results?
5. How would you ensure the randomness of the sample selection?

**Tip**: Always verify the range of your population when using random numbers to avoid selecting invalid entries.

A community college has 7651 students currently enrolled in classes. To gain the students' opinions about an upcoming building project, the college president wishes to obtain a simple random sample of 8 students. He numbers the students from 1 to 7651. Complete parts (a) and (b) below.

Learn how to use a random number table to select a random sample of 8 students from a population of 7651 for a statistics problem. This task involves simple random sampling and requires interpreting random number tables. Suitable for students in Grades 10-12.

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