Question 1

Which of the following best describes a simple random sample?

Accepted Answer

A sample where every possible group of n individuals has an equally likely chance of being selected.

Question 2

Suppose you have a population of 30 clients and you want to select a simple random sample of 10 clients. Which of the following steps is NOT necessary?

Accepted Answer

Selecting the first 10 clients on the list.

Question 3

If a study group consists of five students: Bob, Patricia, Nancy, Jan, and Maria, how many possible samples of size 2 can be drawn without replacement?

Accepted Answer

$$10$$

Question 4

What is the probability of selecting the sample {Patricia, Jan} from the group of five students if a simple random sample of size 2 is drawn?

Accepted Answer

$$\frac{1}{10}$$

Question 5

Why is it important to use chance rather than convenience when selecting a sample?

Accepted Answer

It ensures the sample is representative of the population.

Question 6

A frame is required for simple random sampling. What is a frame?

Accepted Answer

A list of all individuals in the population.

Question 7

Which of the following is a valid method for obtaining a simple random sample?

Accepted Answer

Using a table of random numbers to select individuals.

Question 8

If you use StatCrunch to generate a simple random sample of 10 from 30 clients, what should you set as the minimum and maximum values in the Discrete Uniform parameters?

Accepted Answer

Minimum: 1, Maximum: 30

Question 9

Which of the following statements about simple random sampling is FALSE?

Accepted Answer

Simple random sampling always guarantees a perfectly representative sample.

Question 10

A researcher wants to select a simple random sample of 8 U.S. Presidents from the list of 46. What is the probability that George Washington is included in the sample?

Accepted Answer

$$\frac{8}{46}$$

Question 11

Which scenario best illustrates the use of a simple random sample?

Accepted Answer

A company uses a random number generator to select 10 employees from a list of 100.

Question 12

If you use a table of random numbers to select a sample, what should you do if a number repeats?

Accepted Answer

Skip the repeated number and select the next unique number.

Question 13

Which of the following is NOT a benefit of using simple random sampling?

Accepted Answer

It guarantees the sample will exactly match the population.

Question 14

A company wants to survey 10 out of 30 clients. If they use simple random sampling, what is the probability that a specific client is selected?

Accepted Answer

$$\frac{10}{30}$$

Question 15

Which of the following is a necessary condition for a sample to be considered a simple random sample?

Accepted Answer

Every possible sample of the same size must have an equal chance of being selected.

Question 16

If a sample is not representative of the population, what is the most likely cause?

Accepted Answer

The sample was selected using convenience rather than chance.

Question 17

Which of the following best explains why a frame is important in simple random sampling?

Accepted Answer

It lists all individuals in the population, ensuring everyone has a chance to be selected.

Question 18

A researcher uses StatCrunch to select a simple random sample. What is the main advantage of using statistical software for this purpose?

Accepted Answer

It eliminates human bias in the selection process.

Question 19

Which of the following is an example of a non-random sampling method?

Accepted Answer

Selecting individuals based on who is easiest to reach.

Question 20

If a population consists of 259 million adults and a sample of 1000 is selected using simple random sampling, what is the probability that a specific adult is chosen?

Accepted Answer

$$\frac{1000}{259,000,000}$$

Simple Random Sampling in Introductory Statistics

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