Question

lesson 22.1 checkpoint
once you have completed the above problems and checked your solutions, complete the lesson checkpoint below.
complete the lesson reflection above by circling your current understanding of the learning goal.

1. the junior class at a local school would like to survey students to pick a theme for the junior - senior prom. which of the following sampling methods would most likely be biased?

a. survey every fifteenth student on the school roster from freshman to senior.
b. survey every tenth student in the junior and senior classes on the school roster.
c. survey those who happen to be standing around outside in the morning before the first bell rings.

1. a local business wants to determine how many of its workers are working overtime. a representative of the business randomly surveys 40 out of 500 workers and finds out 10 of the 40 workers are working overtime. which of the following statements are true regarding this survey? select three that apply.

a. the population is all workers that work at the local business.
b. the results of the survey can be used to make inferences about the 500 workers.
c. the survey sample is the 500 workers.
d. the survey sample is the 40 workers.

Explanation:

1.

• Option A: Sampling every fifteenth student on the school roster (from freshman to senior) is a form of systematic sampling. It is likely to be representative as it is based on an ordered list.
• Option B: Sampling every tenth student in the junior and senior classes (the relevant population for the prom - theme decision) is also a form of systematic sampling within the target population.
• Option C: Sampling students who happen to be standing around outside in the morning before the first bell rings is a convenience sample. These students may have certain characteristics (e.g., they may be more likely to be involved in early - morning activities or have a different schedule) that make them not representative of the entire student body.

• Option A: The population is the entire group of interest. Here, the business wants to know about all its workers, so the population is all workers that work at the local business.
• Option B: Since the sample is randomly selected, the results of the survey (a sample of 40 workers) can be used to make inferences about the larger population of 500 workers (using statistical methods like estimating proportions).
• Option C: The sample is the subset of the population that is actually surveyed. The 500 workers are the population, not the sample.
• Option D: The 40 workers that were randomly surveyed are the sample.

Answer:

C. Survey those who happen to be standing around outside in the morning before the first bell rings.

2.