Data Analysis: Box plot, t-tests, and Regression Analysis

DATA ANALYSIS
STUDENT NAME/ID
[Pick the date]

Task 1
Box plot and t- tests
(a) Requisite five number summary for GPA score and side by side box plot of GPA for female and male
students is highlighted below.
The distribution of GPA scores for male and female is asymmetric and also has skew. It is evident from
the presence of outliers at the higher level and lower end of the data. The outliers represents that there are
some of the science students who have extraordinarily high or low GPA scores. Further, as the nature of
the plot is skewed, hence, median would be considered as correct measures of central tendency rather
than mean value. Also, inter quartile range (IQR) would be considered as correct measures of dispersion
rather than standard deviation value. It is because mean and standard deviation both are significantly
affected due to the extreme values (outliers).
(b) Hypothesis test
1

It is apparent that the two samples GPA for male students and GPA for female students are two
independent variables. Further, standard deviation of population is unknown and hence, t test for two
sample data with unequal variance is suitable for the hypothesis test.
The two tailed p value from the above test is 0.1972 which is more than significance level (Assuming
5%). As a result of this, insufficient evidence is present to reject null hypothesis. Hence, it can be said that
average GPA of male students is not different from average GPA of female students.
2(a) Hypothesis test
It is apparent that the two samples with regards to GPA of students from parents having different highest
qualification are two independent variables. Further, standard deviation of population is unknown and
hence, t test for two sample data with unequal variance is suitable for the hypothesis test.
2

The one tailed p value from the above test is 0.1757 which is more than significance level (Assuming
5%). As a result of this, insufficient evidence is present to cause rejection in the null hypothesis. Hence, it
can be said that average GPA of students (parent education post-graduation) is not different from average
GPA of students (parent education under-graduation).
(b)Hypothesis test
It is apparent that the two samples with regards to GPA of students from parents having different highest
qualification are two independent variables. Further, standard deviation of population is unknown and
hence, t test for two sample data with unequal variance is suitable for the hypothesis test.
The one tailed p value from the above test is zero which is lesser than significance level (Assuming 5%).
As a result of this, rejection of null hypothesis and acceptance of the alternative hypothesis would be
3