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AP Statistics Observational Study Project

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Dhruvik Patel

on 8 September 2015

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Transcript of AP Statistics Observational Study Project

AP Statistics Observational Study Project
Topic
Methodology
Data
Interpretations
Background
Our group wants to see whether upperclassmen or underclassmen at CHS are more likely to leave their lockers unlocked. We predict that upperclassmen have a greater tendency to leave their lockers unlocked. This prediction is based on the excess comfort that many students get after being in the high school for multiple years.
We decided to conduct this specific observation because of our curiosity in the trend of students to not lock their lockers. This trend is very apparent, so we wanted to dive under the surface to possibly prove a factor that causes it.
We began our study by picking a population, the entire collection of lockers in the school. They were numbered from 001-204 for A-Hall, 001-300 for B-Hall, 001-309 for C-Hall, and 001-224 for D-Hall. At the end of the survey, however, we split the four halls into two groups: Upperclassmen(C and D) and Underclassmen (A and B). Our samples per hall were decided through the process of Simple Random Sampling with the Table of Random Digits. This procedure was chosen because it would be inconvenient and arduous to have to check over 1000 lockers. SRS allowed us to have a random sample and only have to check around 400 lockers.
We administered this observation simply by attempting to open each locker in our sample and marking down whether they were locked or unlocked. The entire survey was conducted during schools hours, specifically, during 11th period in each hall.
One of the issues we dealt with when picking our method of conducting the survey was the length of some processes. Even though SRS did take some time to pick out the sample, conducting a census would have taken far longer in physically checking every single locker in the school. Also, that would have decreased the accuracy of our results because there are many lockers that are not used in our school, and a census would increase the amount of unused lockers, therefore, increasing error. Simple Random Sampling provided a fairly easy randomization and eliminated over half of the excessive population.
Group
Lockers Unlocked
Lockers Locked
Percentage Unlocked
Underclassman
Upperclassman
47
103
31%
48
102
32%
With just a one locker and one percent difference between upperclassmen and underclassmen, the data shows us that our prediction was right. How long a student has been in the high school does play a factor in whether they will leave their locked unlocked or locked. Although there is a very miniscule favoring towards the upperclassmen leaving their lockers open, the effect is not statistically significant. It is too small and should just be dismissed as chance.
Conclusion
We administered this observation simply by attempting to open each locker in our sample and marking down whether they were locked or unlocked. The entire survey was conducted during schools hours, specifically, during 11th period in each hall.
One of the issues we dealt with when picking our method of conducting the survey was the length of some processes. Even though SRS did take some time to pick out the sample, conducting a census would have taken far longer in physically checking every single locker in the school. Also, that would have decreased the accuracy of our results because there are many lockers that are not used in our school, and a census would increase the amount of unused lockers, therefore, increasing error. Simple Random Sampling provided a fairly easy randomization and eliminated over half of the excessive population.
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After completing this observational study, we really enjoyed completing this project. Although our results proved our hypothesis right slightly by only one locker, we still had to dismiss our results by a chance. Even though this happened, it was still interesting to find that that many people still leave their lockers unlocked on a normal basis. It was an interesting observation we wanted to notice at CHS and it would have proved better if our results turned out better than they did this time. This project was a very interesting way to further extend this chapter. It was a very different way of reviewing all of the material we learned this chapter. We feel as though it gave us a better understanding by completing a hands-on activity of any topic that we wished to study. Completing an observation of something we wanted to do helped us remember the material in the chapter better than just taking a test.
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