Answer :
To determine the simple random sample of four teachers from the given list using the random number list provided, follow these steps:
1. Assign each teacher a numerical label:
1. Rosales
2. Mann
3. Preble
4. Knaggs
5. Temple
6. Boles
7. Kindred
8. Chauvet
2. Use the provided random number list to choose the teachers:
We are given the random number list: 41842 81868 71035 09001 43367 49497 54580 81507.
3. Extract the first digits from the random number list to select the teachers:
- The first number is 4: Knaggs
- The second number is 1: Rosales
- The third number is 8: Chauvet
- The fourth number is 4 again: Knaggs (which is already chosen)
4. Move to the next digits to select the fourth teacher:
- The next unread digit is 1: Rosales (already chosen)
- Next unread digit is 8: Chauvet (already chosen)
- Continue this process until a unique teacher is found.
From the list, it is apparent that repeating numbers appear frequently (i.e., 4 for Knaggs and 8 for Chauvet). Selecting the fourth unique teacher from the remaining unique labels, and ensuring no repetitions, leads to choosing:
- Knaggs (4)
- Rosales (1)
- Mann (3)
- Chauvet (8)
Putting it all together, the chosen teachers are:
Rosales, Mann, Knaggs, and Chauvet.
Therefore, the correct sample obtained is:
c. Rosales, Mann, Knaggs, and Chauvet.
1. Assign each teacher a numerical label:
1. Rosales
2. Mann
3. Preble
4. Knaggs
5. Temple
6. Boles
7. Kindred
8. Chauvet
2. Use the provided random number list to choose the teachers:
We are given the random number list: 41842 81868 71035 09001 43367 49497 54580 81507.
3. Extract the first digits from the random number list to select the teachers:
- The first number is 4: Knaggs
- The second number is 1: Rosales
- The third number is 8: Chauvet
- The fourth number is 4 again: Knaggs (which is already chosen)
4. Move to the next digits to select the fourth teacher:
- The next unread digit is 1: Rosales (already chosen)
- Next unread digit is 8: Chauvet (already chosen)
- Continue this process until a unique teacher is found.
From the list, it is apparent that repeating numbers appear frequently (i.e., 4 for Knaggs and 8 for Chauvet). Selecting the fourth unique teacher from the remaining unique labels, and ensuring no repetitions, leads to choosing:
- Knaggs (4)
- Rosales (1)
- Mann (3)
- Chauvet (8)
Putting it all together, the chosen teachers are:
Rosales, Mann, Knaggs, and Chauvet.
Therefore, the correct sample obtained is:
c. Rosales, Mann, Knaggs, and Chauvet.