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Chapter 1: Q 1.42. (page 16)

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 possible samples of size 1 that can be obtained from the population of five officials.

(b) What is the difference between obtaining a simple random sample of size 1 and selecting one official at random?

(c) List the possible samples (without replacement) of size 5 that can be obtained from the population of five officials.

(d) What is the difference between obtaining a simple random sample of size 5 and taking a census of the five officials?

Short Answer

Expert verified

Part (a) G, L, S, A, T.

Part (b) There is no difference between collecting a basic random sample of size 1 and selecting one official at random.

Part (c)Sample:- G, L, S, A, T.

Part (d) There is no difference between taking a census of the five officials and obtaining a simple random sample of size 5.

Step by step solution

01

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.

02

Part (a) Step 2. List the possible samples of size 1 that can be obtained from the population of five officials.

Make a list of the possible samples of size 1 from a population of five officials.

Governor (G)

lieutenant General (L)

Secretary of State (S),

Attorney General (A)

Treasurer (T)

They are the five officers listed in Table 1.2.

As a result, the following are the possible samples of size 1 from the given population:

Samples: G, L, S, A, T

03

Part (b) Step 1. Difference between obtaining a simple random sample of size 1 and selecting one official at random 

It is evident from part (a) that the specified population has 5 samples of size 1.

Furthermore, each sample has an equal probability of being chosen.

As a result, there is no difference between collecting a basic random sample of size 1 and selecting one official at random.

04

Part (c) Step 1. List the possible samples (without replacement) of size 5 that can be obtained from the population of five officials. 

From a population of five officials, make a list of the potential size 5 samples without replacement.

Because there are five officials, there is only one sample in which the size 5 sample is available,

Sample:- G, L, S, A, T

05

Part (d) Step 1. Difference between obtaining a simple random sample of size 5 and taking a census of the five officials.

Part (C) shows that for the given population, there is only one sample of size 5 (without replacement).

Furthermore, each sample has an equal probability of being chosen.

As a result, there is no difference between taking a census of the five officials and obtaining a simple random sample of size 5.

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