Question
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(b) Obtain this sample using the portion of the random number table provided in the problem statement. Start with the first column of the first row and work down each column. Type the numbers corresponding to the students chosen. \( \square \) (Use a comma to separate answers as needed.)

Ask by Conner Martinez. in the United States
Jan 22,2025

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Tutor-Verified Answer

Answer

Select the first five valid student numbers from the random number table, ensuring no duplicates, and list them separated by commas.

Solution

I understand you're looking to select a sample of students using a random number table by starting with the first column of the first row and working down each column. However, since I don't have access to the specific portion of the random number table provided in your problem statement, I can guide you through the general process: ### Steps to Select Your Sample: 1. **Identify the Range of Student Numbers:** - Determine the total number of students and assign each a unique number. For example, if there are 100 students, they might be numbered from 001 to 100. 2. **Use the Random Number Table:** - **Start Position:** Begin at the first column of the first row in your random number table. - **Reading Order:** Move down the first column, reading each number sequentially. - **Determine Groupings:** Depending on how the numbers are formatted in the table (e.g., two-digit numbers), group them accordingly. For instance, if you're using two-digit numbers and have 100 students, treat each pair as a potential student number. 3. **Select Valid Numbers:** - **Match to Student Numbers:** Only select numbers that correspond to actual student numbers you have. - **Avoid Duplicates:** If a number repeats, skip it and move to the next unique number. - **Desired Sample Size:** Continue this process until you've selected the required number of students for your sample. 4. **Record the Selected Numbers:** - Write down each selected student number, separating them with commas. ### Example: Assuming you have a random number table and 30 students numbered from 001 to 030, here's how you might proceed: - **Random Number Table Portion:** ``` 1 | 45 | 23 | 67 | 89 12 | 05 | 34 | 78 | 90 07 | 19 | 56 | 81 | 03 29 | 08 | 14 | 62 | 50 11 | 22 | 33 | 44 | 55 ``` - **Selection Process:** - Start with the first column: - 1 → 001 (valid) - 12 → 012 (valid) - 07 → 007 (valid) - 29 → 029 (valid) - 11 → 011 (valid) - Continue to the next column and so on until you have your desired sample size. - **Selected Sample:** ``` 001, 012, 007, 029, 011 ``` ### Important Tips: - **Ensure No Repeats:** If a number is already selected, skip it to avoid duplicate selections. - **Adjust for Number Range:** If your student numbers don't exactly match the number format in the table (e.g., leading zeros), adjust accordingly to ensure accuracy. - **Sample Size:** Make sure you know how many students you need to select for your sample before starting. If you can provide the specific numbers from your random number table or additional details, I'd be happy to assist you further in selecting your sample!

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Beyond the Answer

To obtain your sample using the random number table, you'll need to read through the digits starting from the first column in the first row and moving down each column, as instructed. If the digits correspond to student numbers available in your pool, select those students. For example, if your random number table begins with the numbers 567, 212, 345, and your student numbers are from 001 to 100, you would include students 56, 21, and 34. Make sure to avoid any duplicates or numbers outside the 001-100 range. Based on this, the chosen numbers might look like this: 56, 21, 34, etc. Remember to include any numbers that may appear outside your range, and simply bypass them!

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