Step by step
The question
Question: 60 plants were chosen at random from a farm.
Half of them were chosen at random to get a new plant food.
The plant food group grew taller.
What can the study say?
1 Two questions
To judge a study, we ask two questions.
How were the plants picked?
And how were the groups made?
2 How they were picked
The story says the plants were chosen at random from the farm.
So: yes.
At random means all the plants in the farm had the same chance to be picked.
So the group is a fair small copy of the whole farm.
So what we find can be used for the whole farm: true for all plants in the farm.
3 How the groups were made
The plants were chosen at random to get a new plant food.
So: yes.
Chance made the groups, not the plants.
So the two groups are alike, except for the plant food.
So the difference comes from the plant food: the plant food causes it.
Careful!
Only for the farm they were picked from.
Not for all plants everywhere.
4 What the study can say
So the study can say: for all plants in the farm, the plant food causes this.
5 Check
Let's check with the story.
The first sentence says: chosen at random from the farm.
That matches.
The second sentence says: chosen at random to get a new plant food.
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.