Question

Match the name of the sampling method descriptions given

Situations

- Pulling 50 names from a hat
- Asking your 20 closest friends
- Separating all students by grade level, and selecting 10 students from each grade
- Call every 15th phone number on every 5th page of the phone book
- Dividing by population by voting precinct, and sampling everyone in the precints selected

Sampling Method:
a. Cluster
b. Convenience
c. Stratified
d. Systematic
e. Simple Random

Answer 1

Each described situation matches with a different sampling method: pulling names from a hat (simple random sampling), asking close friends (convenience sampling), selecting students by grade (stratified sampling), calling phone numbers at regular intervals (systematic sampling), and sampling everyone in selected precincts (cluster sampling).

Step-by-step explanation:

Matching the sampling method descriptions with their corresponding types can be done by understanding each method's characteristics:

• Pulling 50 names from a hat would be an example of simple random sampling, as each name has an equal chance of being chosen.
• Asking your 20 closest friends represents convenience sampling because it is based on the ease of reaching the sample group.
• Separating all students by grade level, and selecting 10 students from each grade is an instance of stratified sampling, where the population is divided into subgroups, and samples are taken from each.
• To call every 15th phone number on every 5th page of the phone book demonstrates systematic sampling, as the sample follows a specific system or interval.
• Dividing by population by voting precinct, and sampling everyone in the precincts selected is an example of cluster sampling, where the population is divided into clusters and a whole cluster is sampled.

Answer 2

- Pulling 50 names from a hat. <-> e. Simple Random

- Asking your 20 closest friends <-> b. Convenience

- Separating all students by grade level, and selecting 10 students from each grade <-> c. Stratified

- Call every 15th phone number on every 5th page of the phone book <-> d. Systematic

- Dividing by population by voting precinct, and sampling everyone in the precints selected <-> a. Cluster

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

- Pulling 50 names from a hat

All options in the hat and pick some of them. So Simpel Rando.

- Pulling 50 names from a hat. <-> e. Simple Random

- Asking your 20 closest friends

Closest friends lead to convenience. so

- Asking your 20 closest friends <-> b. Convenience

- Separating all students by grade level, and selecting 10 students from each grade

Divided the population into groups, and choose some from each group. Stratified.

- Separating all students by grade level, and selecting 10 students from each grade <-> c. Stratified

- Call every 15th phone number on every 5th page of the phone book

Every kth person. Systematic.

- Call every 15th phone number on every 5th page of the phone book <-> d. Systematic

- Dividing by population by voting precinct, and sampling everyone in the precints selected

Division into groups, and choosing everyone from each group. Cluster

- Dividing by population by voting precinct, and sampling everyone in the precints selected <-> a. Cluster