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Question 7
The eight teachers listed below all teach statistics.
1. Rosales 2. Mann 3. Preble 4. Knaggs
5. Temple 6. Boles 7. Kindred 8. Chauvet
Starting at the beginning of the random number list below, choose a simple random sample of four teachers to be given a raise. Use the labels
attached to the eight names.
41842 81868 71035 09001 43367 49497 54580 81507
The sample you obtain is
OOO
оо
a
b
C
Rosales, Mann, Preble, and Knaggs.
4, 1, 8, and 4.
Rosales, Mann, Knaggs, and Chauvet.
d Knaggs, Rosales, Verduci, and Knaggs.
Knaggs, Rosales, Verduci, and Boles.
e
13



Answer :

GinnyAnswer
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.

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