STATS-1004 - Statistical Analysis - Report Writing - Statistics Assignment Help

Assignment Task

Matched pairs t-test in R
1. In practical 8 you were shown how to complete a matched pairs t-test. Now you have to re-produce the analysis for ”Maths Marks”data in the first part of this assignment and answer the questions below. Following is the background of this data.

Background
The data, Maths Marks, was collected by a Maths lecturer at the University of Adelaide and consists of marks for the first two assignments their students completed in their course. The lecturer is worried that their assignments may not be consistently difficult so is interested in whether there is a difference in the marks received between the two assignments. Students who got zero for either or both assignments have been removed from this data set by the lecturer.
Both assignments were out of 50 marks in total.
This data is given in ”Maths Marks.xlsx” on MyUni and it has two variables:
• A1: Student’s math marks for the first assignment
• A2: Student’s math marks for the second assignment

In your Word document, include the following:
(a) A table of summary statistics for each assignment marks. The summary statistics needed are the sample mean, sample standard deviation, sample median and the sample IQR.

(b) Produce a panel histogram in R of the marks for the two assignments and include in your document.

(c) According to the above histograms and table answer the following questions.
i. Describe the shape of the distributions of the marks for each assignment.

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