a student waits in a coffee shop to see whether people wearing red hats smile at the cashier more than people who aren't wearing red hats. what type of study is this?
The two main studies in Statistics are the Observational study and the Experimental study. In Observational study, the conditions are not under the control of the investigator whereas in Experimental study the experiment is carried out under the control of the investigator. The given case is that a student waits in a coffee shop to see whether people wearing red hats smile at the cashier more than people who aren't wearing red hats. This is purely observational study as the student has no control over the conditions. He just observe the behaviour of the people and the people are also unware of this study.
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