Question

1.) Match the sampling strategy in each plan.

A statistics teacher wants to know how her students feel about an introductory statistics course. She decides to administer a survey to a random sample of students taking the course. She has several sampling plans to choose from.

Match number with letter

1. Using the class roster, select every fifth student from the list.

2. There are four ranks of students taking the class: freshmen, sophomores, juniors, and seniors. Randomly select students from the school until you have 15 student responses from each class rank.

3. Each student has a nine-digit student number. Randomly choose 60 numbers.

4. Randomly select a class rank (freshmen, sophomores, juniors, and seniors) and survey every student in that class rank.

Choices:

a. Stratified sampling.

b. Cluster sampling.

c. Simple Random sampling

d. Systematic sampling

e. Quota sampling

f. Convenience sampling

g. Voluntary response sampling.

question 2.) A researcher is collecting data in a large community. For each scenario identify the bias.

Match the number with the letter.

1. The researcher begins with mentioning that the survey will take 30 minutes of their time.

2. No one seems to be home at four houses on her route. She does not return at a later time to try to find residents at home, but leaves them a phone number to contact her.

3. She selects a block where she is comfortable walking because she knows many of the people living on the street.

4. One of the question the researchers asks is about the frequency they are not at home.

Choices:

a. Sampling Bias

b. Voluntary Response Bias

c. Self-Interest Study

d. Response Bias

e. Perceived Lack of Anonymity

f. Loaded Question

g. Non-Response

Answer 1

Question 1:

1. Using the class roster, select every fifth student from the list. - Systematic sampling

Since sample members are selected according to a fixed periodic interval. We are using the class roster to select every fifth student.

2. There are four ranks of students taking the class: freshmen, sophomores, juniors, and seniors. Randomly select students from the school until you have 15 student responses from each class rank. - Stratified Sampling

Since we have divided the class population into 4 separate groups (strata) - freshmen, sophomores, juniors, and seniors and are drawing a small sample from each strata, this is stratified sampling.

3. Each student has a nine-digit student number. Randomly choose 60 numbers. - Simple Random Sampling

Since every student has an equal likelihood of being selected in the sample and thus it is SRS.

4. Randomly select a class rank (freshmen, sophomores, juniors, and seniors) and survey every student in that class rank. -  Cluster Sampling

We have divided the population in clusters and are surveying each student in that particular cluster, a clear example of cluster sampling.