Subjects statistics

Random Sample F2Ff48

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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.