Project#1. Problem Statement. Marks of students in mult

Project#1
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Problem Statement
Marks of students in multiple choice section and written section have to be compared in the
present study. A paired t-test has been utilized in this context to scrutinize whether the
difference between the average marks of the two sections is zero or not. The descriptive
details of marks in MCQ and written sections have been presented in Table 1. From side by
side box plot in Figure 1 and negative skewness of marks in both the sections implied that the
variable is not normally distributed.
Assumptions
The dependent variable, marks of the students is a continuous variable. The marks of 32
students are assumed to be independent of each other. It is to be noted that marks in both
sections for N = 32 students was collected. Hence, the sample size was large enough to use
Central Limit Theorem for assuming normality of the response variable. Normality
assumption allows using the parametric test for comparing the marks of the two sections.
Figure 1, the side by side box plot indicates that there were no outliers in the sample (Kim,
2015, p.540).
Figure 1: Side by side box plot for marks in multiple choice and written
sections
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Table 1: Descriptive Summary of marks in multiple choice and written sections
Figure 2: Bar plot for average marks in multiple choice and written sections
Paired t-test
Null hypothesis: There is no difference in average marks of written and multiple choice
sections.
Alternate hypothesis: There is statistically significant difference in average marks of written
and multiple choice sections (different from zero).
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