Test 24 (Lessons 47–48): Introduction to Statistics, Sampling Methods, and Bias Solutions
For problems 1–3, use the scenario below.
A new city manager in Indianapolis is trying to improve the public transportation system. She is especially interested in how long people have to wait for the Blue Line Express bus. She has observers at ten randomly selected stops along the route who record the wait time (in minutes) for the first bus and the number of people waiting at the stop when the bus arrives.
- Name the population and the sample.
Population: All riders of the Indianapolis Blue Line Express bus
Sample: Bus riders at the 10 randomly selected stops
- Name the type of study and the probability sampling method.
Observational study
Cluster sample
- Identify the variable(s) and categorize them as quantitative or categorical.
Wait time (Q)
Number of people waiting (Q)
For problems 4–5, use the scenario below.
To gather feedback on a new product, a large corporation surveyed the first twenty customers immediately following service calls that lasted five minutes or less. The survey question was, “How satisfied are you with the superb customer service you just received?”
- Identify possible flaws in the study.
Sample: Only 20 customers were surveyed, and only if the call was 5 minutes or less.
The question implies you must be satisfied and tells you the service is “superb.”
- Rewrite the survey question to remove bias.
Sample: How satisfied are you with the customer service you received?
For problems 6–7, use the scenario below.
The booster club at Boonville High School wants to know which foods students prefer to buy from the concession stand during Friday night football games.
The school randomly selected 150 students who attended the most recent home game to ask about their favorite concession item and how much money they spent at the stand that night.
- Name the type of study and the probability sampling method.
Sample survey
Simple random sampling
- Identify the variable(s) and categorize them as quantitative or categorical.
Favorite concession item (C)
Money spent (Q)
For problems 8–10, use the scenario below.
The Students-4-Students organization at College University surveyed the student body by dividing it into subgroups with no overlap and then selecting students randomly from the subgroups. They wanted to know how the student body felt about year-round schooling.
The students sampled were asked, “Do you support the highly beneficial and academically necessary initiative to keep our students engaged in learning throughout the entire year?”
Students-4-Students reported the result: “78% of students polled are in favor of year-round schooling!”
- Name the population and type of sampling method.
Population: Student body at College University
Method: Stratified
- Identify the purpose of the study.
Purpose: To determine how College University students feel about year-round schooling
- Rewrite the question to remove bias.
Sample: Do you support or oppose year-round schooling?