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AP Test Scores Chelsea Armlin, Brandon Babcock, Mason Markowski, and Robert Romeo The Proposal We are investigating AP exam scores in VVS compared to New York State. We choose to investigate this because we wanted to see where VVS falls on the normal curve of AP exams. The population will be the AP Biology, Calculus, English, European History and US History Averages over the past 5 years through NYS. The sample will be VVS Scores on AP Biology, Calculus, English and US History for the past 5 years. H0: VVS AP Test score average = NYS AP test score average H1: VVS AP test score > NYS AP test score average. To sample we will acquire the test scores from Mrs. Muller and weight the averages. We will also search the internet for the NYS averages and weight those. We have to weight the averages so that our sample size is big enough and accurate. The Email -----Original Message----From: [email protected] Sent: 21 Dec 10 12:49:25 To: <[email protected]> Cc: Subject: Vernon Verona Sherrill AP Scores Dear AP Exams, We are doing a statistics project on AP test scores in our school versus New York State. We attend Vernon Verona Sherrill High School in Verona, NY. We were wondering if it would be possible to receive the scores from our school from the past ten years back to 2001. Thank you, Robert Romeo, Brandon Babcock, Mason Markowski, Chelsea Armlin The Email Continued ---------- Forwarded message ---------From: AP <[email protected]> Date: Wed, Dec 22, 2010 at 8:44 AM Subject: AP Scores To: [email protected] Thank you for contacting AP Services. Please contact your high school's AP Coordinator for inquiries regarding your high school's AP scoring information. Thank you for your inquiry. We appreciate the opportunity to assist you. If you have additional questions about this issue, please do not hesitate to write us again. Your e-mail should include all previous messages you have received about this issue so we can provide the best possible service. Sincerely, AP Services Collecting Data We collected our data by obtaining the last five year’s scores from Mrs. Muller and by looking up the NYS scores online at apcentral.collegeboard.com. Biases The classes that we picked to study were part of our bias. We picked tests that we thought would do well in this study. We knew AP Calc would have a high average but that AP English might not. The Central Limit Theorem The central limit theorem states that you need a sample size of at least thirty and have a mound shaped and symmetrical graph to have a normal outcome. Because our sample is actually a population we do not go by this rule. In reality our experiment is comparing VVS AP test scores population to NYS AP test scores population. Math for Biology = 3.589189189 = 2.625... Using the t calculator, probability is .0063 Because .0063 is less than alpha we reject H0 Our margin of error is .41 = .41 Graphs for AP Biology Math for Calculus Using t-calculator the probability is ~0.000 Because ~0.000 < .01 we reject H0 Our margin of error is .23 Graphs for AP Calculus Math for APUSH Using t-calculator the probability is .0011 Because .0011 < .01 we reject H0 Our margin of error is .15 Graphs for APUSH Math for European History Using t-calculator the probability is .0276 Because .0276 > .01 we do not reject H0 Our margin of error is .14 Graphs for AP European History Math for English Using t-calculator the probability is .1228 Because .1228 > .01 we do not reject H0 Our margin of error is .17 Graphs for AP English Conclusion Looking at our data and math we have concluded that AP Biology, Calculus, and US History are different because the probability of the scores that were achieved happening is so small that it is basically improbable. They are part of another curve that has a higher average. We also conclude that AP European History and English are on the normal curve. Evaluation Our test worked very well. We were able to show that VVS is above average in three subjects and normal in the other two that we tested. Although some were farther from the average than others, every subject was above the state mean. Modifications If we were to do this experiment again we would test more subjects and go farther back than just five years. By testing more than five years the data becomes more accurate and by testing more subjects we can see if VVS really is above the state average scores. We could also do an experiment on testing if the schools that have more money produce better results than that of schools without as much funding. Another experiment that we could have done was test similar schools instead of comparing VVS to NYS.