Assignment7_MeethiSharma (1)
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School
Rutgers University *
*We aren’t endorsed by this school
Course
101
Subject
Mathematics
Date
Jan 9, 2024
Type
Pages
9
Uploaded by Meethi.exe
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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