Data Analysis Report for Student GPA

DATA ANALYSIS
STUDENT NAME/ID
[Pick the date]

Task 1
(a) Box plot to represent the GPA of male and female students
The box plot is not symmetric rather skewed which is confirmed from the outliers located at both
ends. The outliers indicate that there are students who have subsequently scored high GPA. As
the data is skewed and comprise outliers and hence, median and inter quartile range (IQR) are
the right option for central tendency and variance measures of GPA scores.
(b) Hypothesis testing for checking the claim that GPA of male students differs from the GPA of
female students.
H0 : μGPA( Female)−μGPA ( male ) =0
H1 : μGPA(Female )−μGPA (male ) ≠ 0
two sample t test for unequal variance is termed as appropriate test to check the claim of
hypothesis test.
1

Assuming the level of significance as 5%
The alternative hypothesis sign is indicative of the aspect that two tailed p value would be taken
into account. The p value (0.1972) is more than significance level (0.05) which implies that
sufficient statistically evidence is available to not reject the null hypothesis. Null hypothesis is
not rejected and thereby, the alternative hypothesis would not be accepted and hence, GPA of
male students does not differ from the GPA of female students.
2(a) Hypothesis testing for checking the claim that GPA of students with parent qualification
post-graduation is higher than the GPA of students with parent qualification under-graduation is
conducted below.
H0 : μGPA( Post graduate)−μGPA (Under graduate )=0
H1 : μGPA(Post graduate )> μGPA ( Under graduate )
Two sample t test for unequal variance is termed as appropriate test to check the claim of
hypothesis test.
2

Assuming the level of significance as 5%
The alternative hypothesis sign is indicative of the aspect that one tailed p value would be taken
into account. The p value (0.1757) is more than significance level (0.05) which implies that
sufficient statistically evidence is available to not reject the null hypothesis. Null hypothesis is
not rejected and thereby, the alternative hypothesis would not be accepted and hence, GPA of
students with parent qualification post-graduation is not higher than the GPA of students with
parent qualification under-graduation.
(b)Hypothesis testing for checking the claim that GPA of students with parent qualification
under-graduation is higher than the GPA of students with parent qualification secondary or
below is conducted below.
H0 : μGPA( Post graduate)−μGPA ( Secondary∨below ) =0
H1 : μGPA(Post graduate )> μGPA ( Secondary∨below )
Two sample t test for unequal variance is termed as appropriate test to check the claim of
hypothesis test.
3