QuestionQuestion 7
2 pts
Which sample would have the most bias if the survey is concerned with a car's performance?
a very large sample
a randomly chosen sample
a very small sample
a sample made up of people who drive BMWs
Studdy Solution
STEP 1
What is this asking?
Which group of people would give the most biased opinions about how a car performs?
Watch out!
Don't confuse *sample size* with *sample selection*.
A large sample can *still* be biased!
STEP 2
1. Analyze Sample Types
2. Identify Potential Biases
STEP 3
Let's break down each sample type.
A **very large sample** sounds good, right?
More data is usually better!
STEP 4
A **randomly chosen sample** is often ideal because it tries to represent everyone equally.
STEP 5
A **very small sample** can be problematic.
Imagine asking only three people what they think!
Their opinions might not reflect the general population.
STEP 6
Finally, a **sample made up of people who drive BMWs** is interesting.
This group already has a preference for a specific car brand.
STEP 7
While a **very large sample** is generally good, it *could* still be biased if the selection process isn't random.
Imagine if the large sample was only taken from one city; that wouldn't represent the whole country!
STEP 8
A **randomly chosen sample** aims to minimize bias by giving everyone an equal chance of being selected.
STEP 9
A **very small sample** is highly susceptible to bias because a few extreme opinions can skew the results.
STEP 10
The **sample of BMW drivers** is almost certainly biased.
They likely chose BMWs for specific reasons, and those reasons might influence their opinions about other cars' performance.
They might compare every car's performance to their BMW.
STEP 11
The sample made up of people who drive BMWs would likely have the most bias.
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