Random Sample Selection
1. The problem is to select a simple random sample without replacement using a table of random numbers for three different cases.
2. Simple random sampling without replacement means each item is chosen randomly and only once, so no repeats.
3. To use a table of random numbers, assign each item a unique number with leading zeros if needed to match the number of digits.
4. For each case, read numbers from the table, skipping any number outside the range or duplicates already selected.
5. (i) For 20 cars from 200 cars:
- Number cars from 01 to 200.
- Use two-digit numbers from the table.
- Select numbers between 01 and 200, ignoring repeats.
- Continue until 20 unique numbers are chosen.
6. (ii) For 15 students from 96 students:
- Number students from 01 to 96.
- Use two-digit numbers from the table.
- Select numbers between 01 and 96, ignoring repeats.
- Continue until 15 unique numbers are chosen.
7. (iii) For 25 invoices from 0001 to 1942:
- Number invoices from 0001 to 1942.
- Use four-digit numbers from the table.
- Select numbers between 0001 and 1942, ignoring repeats.
- Continue until 25 unique numbers are chosen.
This method ensures each sample is random and without replacement.