Assignment7_MeethiSharma (1)

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Rutgers University *

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Course

101

Subject

Mathematics

Date

Jan 9, 2024

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pdf

Pages

9

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Project Overview Education is a multifaceted field where various factors influence a student's academic performance. Among these factors, the completion of test preparation courses has garnered significant attention. These courses are designed to enhance a student's readiness for exams, but their effectiveness remains a subject of interest and debate. In this data science project, we dive into a simulated dataset to investigate whether completing a test preparation course is associated with higher math scores among students. Hello! I’m Meethi, I attend Rutgers University-New Brunswick, and I’m majoring in Computer Science and Cognitive Science, with a possible minor in Data Science. As a student, I recognise the significance of education and its impact on individuals and society. In this project, we aim to uncover potential connections between test preparation and math performance by leveraging statistical analysis and data visualization. We will explore a fictional dataset that includes information about students, their parental education levels, lunch options, test preparation course completion, and their math scores. The core of our analysis revolves around testing a hypothesis: Does completing the test preparation course have a significant impact on the probability of students achieving a math score above 70? To answer this question, we'll employ statistical tests, including hypothesis testing and Bayesian analysis, to evaluate the strength of the relationship between test preparation course completion and math scores.
Data Set Used The "Student Performance in Exams" dataset, which is available on Kaggle, is a comprehensive dataset that covers information about high school students' academic performance. The dataset includes student demographic information such as gender, race/ethnicity, and parental education, as well as their performance on maths, reading, and writing tests. The dataset, which contains 1,000 observations, was gathered through surveys. Overall, the "Student Performance in Exams" dataset is a valuable resource for anyone interested in education research and analysis. The dataset has been cleaned and prepped for study, making it appropriate for researchers and data analysts interested in investigating the relationship between student demographics and academic performance. It can be used to answer a variety of research issues, such as whether academic performance differs by gender or race/ethnicity, or whether parental education levels influence a student's academic success. The information also includes categorical variables such as lunch and exam preparation courses, which provide further insight into things that may influence academic achievement. Researchers and educators can use this information to obtain a better understanding of the elements that contribute to academic success and develop ways to improve student performance. Please click on the following for viewing the dataset: Students Performance in Exams
Analysis of Data Hypothesis Testing: Hypothesis: Does the completion of a test preparation course have a significant impact on math scores compared to those who did not complete the course? Null Hypothesis (H0): There is no significant difference in math scores between students who completed the test preparation course and those who did not. Alternative Hypothesis (H1) : Students who completed the test preparation course have higher math scores than those who did not. We will use a z-test to test this hypothesis, assuming that the math scores are normally distributed. Major Hypothesis Hypothesis: There is a significant difference in the probability of students achieving a math score above 70 based on whether they completed the test preparation course or not. Null Hypothesis (H0): There is no significant difference in the probability of students achieving a math score above 70 between those who completed the test preparation course and those who did not. In this hypothesis, we are testing whether completing the test preparation course has a significant impact on the probability of students achieving a math score above 70. The null hypothesis assumes that there is no difference in this probability between the two groups, and the alternative hypothesis suggests that there is a significant difference.
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