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What is the effect of different amounts of sleep on someone's reaction time?

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The lack of sleep someone has will affect someone's reaction time in a way where the amount of time it takes to react goes up exponentially

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1.humanbenchmark.com/tests/reactiontime

2.computer

3.mouse
4.place to sleep
5.alarm

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1. set alarm to go off 6,7,8,9, and 10 hours after going asleep.
2. Wake up
3. Take 3 tests on  humanbenchmark.com/tests/reactiontime
4. chose the median time and take a screenshot
5. send it to me

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The reason that I did this experiment is because I play video games and a lot of times I see myself performing better under certain conditions than other. I have done experiments regarding posture, filtering blue light, and eating. One experiment I haven't conducted until now is how reaction time is affected by different variables. I felt like the one I could manage to test and record the most efficiently and effectively. I hypothesized that the less sleep someone got, the amount of time it took for the person react. Now it may seem obvious that less sleep may equal longer reaction times, but I was really trying to see if it would go up exponentially or if there were some jumps between times.

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Think Fast

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What I started by doing was organizing a group of 4 people that would do the experiment then I made them sleep for the 5 different times. Then I had them take the test 3 times and send me the median result. From there I collected results.

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What we can infer from the experiments is that reaction time becomes slower due to lack of sleep. However, my hypothesis was wrong because it doesn't change exponentially. The difference in time of sleep and reaction time in some situations up to 40 ms but in others it stays basically the same.

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My hypothesis was partially correct. I thought the reaction time would go up with lack of sleep, which was correct generally. The part I got wrong was when I said It would go up exponentially which it didn't. One way I could have made the experiment better is if i were to have more test subjects.

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https://docs.google.com/presentation/d/147UwSjXd8c09Rn-tIm-xFEGj20kOlooBsxWhEvQoUYc/edit#slide=id.gb8ba83f95a_0_94

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https://docs.google.com/presentation/d/147UwSjXd8c09Rn-tIm-xFEGj20kOlooBsxWhEvQoUYc/edit#slide=id.gb8ba83f95a_0_94

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https://docs.google.com/presentation/d/147UwSjXd8c09Rn-tIm-xFEGj20kOlooBsxWhEvQoUYc/edit#slide=id.gb8ba83f95a_0_94