Question

Oklahoma State Officials. The five top Oklahoma state officials are displayed in Table 1.2 on page 11. Use that table to solve the following problems.

(a). List the 10 possible samples (without replacement) of size 3 that can be obtained from the population of five officials.

(b). If a simple random sampling procedure is used to obtain a sample of three officials, what are the chances that it is the first sample on your list in part (a)? the second sample? the tenth sample?

Short answer

Part (a)

1. G, L, S
2. G. L, A
3. G, L, T
4. G, S, A
5. G, S, T
6. G, A, T
7. L, S, A
8. L, S, T
9. L, A, T
10. S, A, T

Part (b)$\frac{1}{10}$.

Step-by-step solution

Part (a) Step 1. Given information.

The given information is:

The five top Oklahoma state officials are displayed in Table 1.2 on page 11. Use that table to solve the following problems.

Part (a) Step 2. List the 10 possible samples (without replacement) of size 3 that can be obtained from the population of five officials.

G, L, S, A, and T are the top five state officials.

The 10 possible samples that can be obtained from a population of five officials G, L, and S are:

1. G, L, S
2. G. L, A
3. G, L, T
4. G, S, A
5. G, S, T
6. G, A, T
7. L, S, A
8. L, S, T
9. L, A, T
10. S, A, T

Part (b) Step 1. The chances that it is the first sample on your list in part (a) if a simple random sampling procedure is used to obtain a sample of three officials.

If a simple random process is employed to select three officials as a sample.

The procedure will provide ten different options for selecting three officials.

As a result, each of the three possible samples of officials has an equal chance of being chosen. Because there are ten available samples, there is a one-in-ten probability that any one of the three officials will be chosen.

As a result, the chances of it being the first sample is $\frac{1}{10}$.

The chances of it being the second sample is $\frac{1}{10}$, and so on, the chances of it being the tenth sample $\frac{1}{10}$.