Step by step
The question
Question: 200 people were chosen at random from a city.
Half of them were chosen at random to drink green tea each day.
The tea group slept longer.
What can the study say?
1 Two questions
To judge a study, we ask two questions.
How were the people picked?
And how were the groups made?
2 How they were picked
The story says the people were chosen at random from the city.
So: yes.
At random means all the people in the city had the same chance to be picked.
So the group is a fair small copy of the whole city.
So what we find can be used for the whole city: true for all people in the city.
3 How the groups were made
The people were chosen at random to drink green tea each day.
So: yes.
Chance made the groups, not the people.
So the two groups are alike, except for the tea.
So the difference comes from the tea: the tea causes it.
Careful!
Only for the city they were picked from.
Not for all people everywhere.
4 What the study can say
So the study can say: for all people in the city, the tea causes this.
5 Check
Let's check with the story.
The first sentence says: chosen at random from the city.
That matches.
The second sentence says: chosen at random to drink green tea each day.
That matches too.
So the answer is right!
Let's look back.
First: two questions.
Then: how they were picked.
Then: how the groups were made.
Then: what the study can say.
Last: check.