Question

An Australian Business School is keen to improve students’ performance in the subject “Statistics for Business”, and understand important differences in students’ performance across semesters and students’ residency status. KC Analytica (KCA) is a consulting firm which has been commissioned by the Business School to analyse the performance of students in the subject. Suppose that KCA has employed you to prepare a report on the performance of students. KCA has provided you with a sample data set. The sample data are recorded and classified as follows: Mark Mark of each student (out of 100) ECON940 Subject Outline Trimester 2, 2020 Wollongong and Sydney Page 10 of 16 Location of Classes: 3 Locations --- 1 for Main Campus; 2 for Satellite Campus A; 3 for Satellite Campus B Residency Status: 2 --- 1 for Domestic students; 2 for International students Semesters: 2 --- 1 for Autumn Semester; 2 for Spring Semester

1. Using appropriate inferential statistical technique report whether there is a significant difference of average marks across the Semesters? (WHAT WOULD BE THE NULL HYPOTHESIS AND ALTERNATIVE HYPOTHESIS, data is separately given just need simple hypothesis)

Answer 1

IN this research, the independent variable is the student's residency status.

and the dependent variable is the student's performance in the subject "statistics for business".

now a null hypothesis according to the statistical definition is

" The null hypothesis states there is no relationship between the measured phenomenon (the dependent variable) and the independent variable."

thus we have,

Null hypothesis:- student's residency status has no effect on how student's performance in the subject "statistics for business"

Alternate hypothesis:- student's residency status has a statistically significant effect on how student's performance in the subject "statistics for business"