AP Statistics 1.1 Sampling and Experimentation
AP Statistics: Sampling and Experimentation Drill 1, Problem 1. Which of the following statements is true?
|AP Statistics||Sampling and Experimentation|
|Sampling And Experimentation||Planning and Conducting Experiments|
than when she wears any other top. Which of the following statements is true?
And here are the potential answers...
So Samantha has conducted an experiment to try and figure out
whether her polka-dotted shirt is lucky or not.
She's noticed that her test scores are 15%
higher when she wears it... ...and we have to figure out which of the
three statements given are true.
The first one says that wearing the red polka-dot
shirt causes Samantha to receive higher test scores.
This implies a cause and effect relationship between her clothing and her test scores.
In other words, her shirt directly affects her scores.
This seems unlikely, as shirts are not generally known to affect testing capability...
Simply because Samantha's scores increase when she wears her red shirt doesn't mean
one causes the other.
Answer A just isn't true.
So we move onto the second statement, which
suggests correlation between the two events.
Correlation simply means that there is a connection between two events.
If Samantha wears her shirt, then her score increases 15%.
If..., then...This relationship suggests correlation...just
the fact that there IS a relationship.
Moving onto statement 3.
The simple fact that Samantha is aware of her experimental condition... means that she
could be inducing a bias in her test scores. If she believes that her red shirt helps her
do better, this psychological boost could be the real reason her scores increased by
15%. This unreal belief that causes a real effect
is called the placebo effect. So only statements 2 and 3 are right.
The answer is (E). So, unfortunately for Samantha's shirt, it
seems as if it may not be too responsible for all of her success.
Maybe they can still be friends.