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Does drinking coffee everyday improve your test scores

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We took 400 high school students for this study between the age 14-18, 200 were female and 200 were male

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We selected 50 (25 females and 25 males) from each class (freshman, sophomore, junior, and senior) by randomizing student ID numbers until we got the amount of people we needed, then for each person we flipped a coin to see if they would get the treatment or not

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One group will receive the treatment of drinking black coffee before school everyday

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Our explanatory variable is the treatment that the students will receive

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At the end of the school semester we looked at the test scores the students received

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We had once school give us a list of all student ID's at the school. Then we selected 50 students from each grade level with 25 female and 25 being male and flipped as coin to see which treatment could be received. Some lurking variables could be the other things the students eat or drink before breakfast, their IQ level, their metabolism, or their activity level

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Our control group is the 200 students who will not drink coffee in the morning. We do not have a placebo in this experiment.

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We are not able to blind our subjects, because they know that they are drinking, or not drinking coffee in the morning and because they all go to the same school and they will be able to talk to people who are also in the study and see who is doing what. There is no double-blind either because our team is small and we all know who is getting what treatment

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After the first semester the subjects would switch the treatment. Meaning that the students who did drink coffee will now no longer drink it and the students who didn't drink coffee will now drink it. then, we will compare the test scores.

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With a sample size of 400 people, our margin of error is at 5%. This is a fairly low margin of error which is good and it means that my results should be a good representation of the population.

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We will replicate this study with 400 new students to confirm the results are valid and significant. We will use a different school.

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At the end of the 5 month semester study, the average test score for the control group was a 75.6%. The average test score for the students who drank the coffee was 89.7%. Showing that drinking coffee increased the average test score by 14.1%.

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We randomized 400 high school students and the results lead us to the conclusion that the students who drank black coffee every morning before School every morning showed a 14.1% increase in test score averages. These results are statistically significant because a 14.1% increase could not be achieved by chance.