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AP Statistics 1.1 Sampling and Experimentation 248 Views
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Description:
AP Statistics: Sampling and Experimentation Drill 1, Problem 1. Which of the following statements is true?
Transcript
- 00:03
Here's your shmoop du jour, brought to you by Polka Dots.
- 00:06
They're loud... but fortunately not as loud as polka itself.
- 00:10
Samantha notices that every time she wears her red polka-dot shirt, she does better on her tests.
- 00:15
For a year, she records her test grades and which shirt she is wearing during the test.
- 00:20
She finds that when she wears her red polka-dot shirt, her scores are on average 15% higher
Full Transcript
- 00:26
than when she wears any other top. Which of the following statements is true?
- 00:31
And here are the potential answers...
- 00:35
So Samantha has conducted an experiment to try and figure out
- 00:38
whether her polka-dotted shirt is lucky or not.
- 00:41
She's noticed that her test scores are 15%
- 00:44
higher when she wears it... ...and we have to figure out which of the
- 00:47
three statements given are true.
- 00:50
The first one says that wearing the red polka-dot
- 00:52
shirt causes Samantha to receive higher test scores.
- 00:56
This implies a cause and effect relationship between her clothing and her test scores.
- 01:00
In other words, her shirt directly affects her scores.
- 01:03
This seems unlikely, as shirts are not generally known to affect testing capability...
- 01:08
Simply because Samantha's scores increase when she wears her red shirt doesn't mean
- 01:13
one causes the other.
- 01:15
Answer A just isn't true.
- 01:16
So we move onto the second statement, which
- 01:18
suggests correlation between the two events.
- 01:21
Correlation simply means that there is a connection between two events.
- 01:25
If Samantha wears her shirt, then her score increases 15%.
- 01:30
If..., then...This relationship suggests correlation...just
- 01:34
the fact that there IS a relationship.
- 01:36
Moving onto statement 3.
- 01:38
The simple fact that Samantha is aware of her experimental condition... means that she
- 01:42
could be inducing a bias in her test scores. If she believes that her red shirt helps her
- 01:48
do better, this psychological boost could be the real reason her scores increased by
- 01:52
15%. This unreal belief that causes a real effect
- 01:56
is called the placebo effect. So only statements 2 and 3 are right.
- 02:00
The answer is (E). So, unfortunately for Samantha's shirt, it
- 02:04
seems as if it may not be too responsible for all of her success.
- 02:08
Maybe they can still be friends.
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