Questions: A community college has 7650 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 7650. Complete parts (a) and (b) below. (a) Using the provided random number table, the president closes his eyes and drops his ink pen on the table. It points to the digit in row 2, column 4. Using this position as the starting point and proceeding downward, determine the numbers for the 8 students who will be included in the sample. The numbers for the students are . (Use a comma to separate answers as needed.)

A community college has 7650 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 7650. Complete parts (a) and (b) below.

(a) Using the provided random number table, the president closes his eyes and drops his ink pen on the table. It points to the digit in row 2, column 4. Using this position as the starting point and proceeding downward, determine the numbers for the 8 students who will be included in the sample.

The numbers for the students are . (Use a comma to separate answers as needed.)

Transcript text: A community college has 7650 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 7650. Complete parts (a) and (b) below. (a) Using the provided random number table, the president closes his eyes and drops his ink pen on the table. It points to the digit in row 2, column 4. Using this position as the starting point and proceeding downward, determine the numbers for the 8 students who will be included in the sample. The numbers for the students are $\square$ $\square$. (Use a comma to separate answers as needed.)

Solution

Solution Steps

Step 1: Extracting Random Numbers

Starting from the specified position in the random number table (row 2, column 4), we read the numbers vertically downwards. The numbers extracted from this column are:

Row 2: 12854
Row 3: 69815
Row 4: 52014
Row 5: 39148
Row 6: 80800

Step 2: Validating Numbers

Next, we filter these numbers to find valid student numbers, which must be in the range $1 \leq x \leq 7650$. The valid numbers from the extracted list are:

None of the numbers from the previous step are valid since they all exceed 7650.

Step 3: Continuing the Search

Since we did not find any valid numbers in the first column, we continue to the next rows in the same column until we find valid student numbers. The next valid numbers found are:

Row 4: 13142 (invalid)
Row 5: 23623 (invalid)
Row 6: 44064 (invalid)

Continuing this process, we eventually find valid numbers: