Executive Summary
The main purpose of this study was to focus on determining the relationship between student marks among three semesters. The average students’ score on 1st semester is 70 ± 14.9, the average students score on 2nd semester is 53 ± 9.6 and the average students’ score on 3rd semester is 44 ± 8. In overall view the results of the different semesters were analyzed and it was observed that the mean mark of the semesters was reducing from the 1st to the 3rd semester with mean marks of 70, 53 and 44 respectively. This trend was witnessed in all measures of dispersal including the median and the mode which had 68.11, 49, 44 and 59.71, 42, 43 for the 1st, 2nd and the 3rd semesters respectively. This results can be attributed the students losing academic interest as the year and the semesters elopes, this can be due increased gaming, internet activities and other non-academic activities. Therefore the school management is expected to tackle these problems by bringing in necessary actions that needs to be undertaken.
In the 21st Century, there has been quite an overwhelming acknowledgement of the value of individual expertise and human resource due to a widespread realization that these aspects have turned into the main drivers of economic affluence and societal well-being. In modern-day knowledge-driven civilizations, personal and communal progress is mainly driven by advancements in the technological sector hence, the need for total economic success calls for nations to preserve their competitive edge in the global economic arena by creating and maintaining a highly trained workforce, sustaining a globally competitive research base and refining their knowledge sharing techniques in order to benefit all individuals.
Consequently, as reported by Ewell and Van Vaught (2010), higher education, embodies a critical aspect in human resource development and overall innovation and plays a key role in the prosperity and sustainability of the knowledge-driven economies such as Australia. In Australia for example, higher education has become one of the most important aspects among the gazetted national agendas and has consequently undergone intense changes all of which are geared towards improving the quality of higher education in Australia. Dawkins (2014) argued that there is need for the targets and scales of success in the higher education sector of Australia to be recalibrated in a manner that they would be able to accurately reflect the value addition that higher education is meant to cultivate on Students.
Currently in Australia, the students’ overall performance academic wise has become one of the key concerns in the tertiary level education sector. A wide variety of studies have been conducted in recent years with the aim of probing the key aspects related to the overall academic-based achievements of university students. Most of the studies carried out recently ventured into the exploration of aspects that influence the ultimate academic excellence of university students. Bone and Reid (2013) recounted that, the overall academic performance of any student is affected by a number of factors namely; gender, individual learning abilities, cost of higher education and race. These aspects have a big impact on the overall academic performance of students hence the reasons why there is need to study the students’ academic performance. This study will seek to understand the important differences in students’ performance across gender, campuses, trimesters and Student Status so as to enable the Business School to come up with policies geared towards improving student performances in the subject of Management Accounting. According to AlphaBeta (2018), we currently live in a world, in which a major percentage of employment creation and growth is in areas aligned to acquired knowledge, skills and competences produced by the higher education sector. To assist the Business School in making the difficult decisions ahead, they shall have full access to the findings and recommendations of this study.
A demand driven system of higher education was first introduced in Australia in 2012 and since then, participation in higher education has increased dramatically. The Business School therefore needs to pursue a reform agenda that comes up with a new approach that ensures that higher education services respond to the increasing diversity of Students mainly in the field of Management Accounting which is the main area of concern in this Study. The Business School needs to develop an all-inclusive, clear and consistent learning system that facilitates maximum improvement of the academic performance of its students. This means, seeking an in-depth view of its learning systems, education involvement trends and doing their best to ensure that the all students taking the subject of management accounting achieve the acceptable results, knowledge and skills that meet future workforce requirements.
Statistical Problem
In order to be able generate a set of meaningful findings, there is need to understand the specific aspects that the study needs to address. Having understood the goal of the study I came up with a set of Statistical Problems.
- First, I need to establish whether there is any significant difference in the average marks of the students between different trimesters and if yes, the causative agents of the said differences.
- Secondly, since there is a claim that gender is one of the key determinants of academic performance, I need establish whether there is any difference in the mean scores of the female students when compared to the mean scores of the male students. If there is any difference, there is need to test whether the difference across the two groups is significant.
I need to consult a wide range of individuals including students of different genders, lecturers, subject representatives and other people in the department of management accounting in order to obtain the relevant data and information necessary for the study to be successful.
Business Problem
The challenge in this study is that there was no possible scenario where the statistical analysis
could be done in a cost effective manner. Despite the fact that the Business School’s
administration has tried to integrate the use of technology across various departments, with an
aim of easing the process of sharing information, the lack of harmony between the school’s
research department and the academic department, and the lack of coherence between these
departments, if anything, made the study more expensive because it brought about the need to
higher research assistants to aid in the collection of the relevant data, which would have
easily been made available by the academic department. This challenge is elevated by the fact
that the Business School does not have in its current budget the kind of funding that is
required to carry out such studies. Furthermore, the School’s overall expenditure on research
Studies have declined at an alarming rate over the last couple of years. Although the Business
School’s administration has made research one of the leading policy priorities, there is no
overall inter-departmental commitment and the finance department to address this funding
problem. The lack of funding also affected the study in the sense that I not have access to
Enough funds to be able to pay the research assistants well. It is a well-known fact in the
Business world that employees who lack proper motivation do not perform their duties as well
as they are required to.
Task one
Semester one results output
MARKS | |||||
85 | 85 | 53 | 60 | 99 | 76 |
52 | 75 | 68 | 60 | 91 | 78 |
68 | 98 | 65 | 60 | 90 | 91 |
54 | 85 | 54 | 66 | 76 | 90 |
53 | 75 | 53 | 60 | 76 | 63 |
52 | 98 | 57 | 60 | 78 | 60 |
68 | 65 | 57 | 66 | 99 | 66 |
52 | 52 | 57 | 60 | 91 | 51 |
54 | 68 | 57 | 66 | 90 | 51 |
53 | 65 | 57 | 60 | 99 | 60 |
52 | 54 | 99 | 66 | 91 | 66 |
52 | 53 | 51 | 76 | 90 | 63 |
85 | 65 | 60 | 76 | 76 | 60 |
75 | 54 | 63 | 78 | 76 | 60 |
98 | 53 | 60 | 99 | 78 | 66 |
75 | 68 | 60 | 91 | 57 | 51 |
98 | 65 | 66 | 90 | 99 | 63 |
85 | 68 | 63 | 76 | 91 | 60 |
75 | 65 | 60 | 76 | 90 | 66 |
98 | 54 | 51 | 78 | 76 | 51 |
Analysis of the semester one results
Mean | 70 |
Mode | 59.71 |
Median | 66.11 |
Variance | 218.4565 |
standard deviation | 14.78028 |
From the analysis performed on the results of the first semester, the location and the descriptive statistics were performed and were found as shown above.
Semester two results
MARK | |||||
73 | 39 | 73 | 51 | 44 | 49 |
58 | 49 | 58 | 52 | 47 | 44 |
57 | 47 | 57 | 52 | 47 | 47 |
58 | 39 | 49 | 54 | 42 | 47 |
57 | 64 | 49 | 51 | 49 | 42 |
66 | 66 | 47 | 52 | 41 | 49 |
70 | 70 | 56 | 54 | 44 | 42 |
73 | 64 | 39 | 51 | 47 | 49 |
58 | 66 | 56 | 41 | 47 | 42 |
66 | 70 | 39 | 44 | 49 | 49 |
58 | 73 | 56 | 47 | 41 | 68 |
47 | 64 | 39 | 47 | 44 | 54 |
56 | 57 | 49 | 42 | 47 | 51 |
39 | 64 | 56 | 49 | 47 | 68 |
49 | 70 | 52 | 44 | 42 | 68 |
47 | 73 | 54 | 47 | 49 | 52 |
49 | 57 | 51 | 47 | 44 | 54 |
47 | 64 | 68 | 42 | 47 | 51 |
47 | 66 | 52 | 49 | 47 | 68 |
56 | 70 | 54 | 41 | 42 | 68 |
41 | 42 | 41 |
Analysis of the results
Mean | 53 |
Mode | 42.44 |
Median | 49 |
Variance | 93.38516 |
standard deviation | 9.6636 |
From the analysis performed on the results of the second semester, the location and the descriptive statistics were performed and were found as shown above.
Semester three
MARK | |||||
54 | 44 | 45 | 45 | 37 | 48 |
56 | 48 | 54 | 40 | 26 | 43 |
59 | 45 | 56 | 43 | 40 | 46 |
44 | 40 | 59 | 48 | 46 | 48 |
28 | 43 | 44 | 48 | 37 | 43 |
34 | 44 | 54 | 40 | 26 | 46 |
28 | 44 | 59 | 46 | 40 | 48 |
34 | 44 | 59 | 37 | 52 | 43 |
56 | 44 | 34 | 26 | 43 | 46 |
44 | 45 | 59 | 40 | 46 | 37 |
28 | 40 | 34 | 37 | 48 | 26 |
34 | 43 | 43 | 26 | 43 | 46 |
54 | 44 | 44 | 40 | 46 | 48 |
56 | 44 | 43 | 46 | 48 | 52 |
44 | 45 | 44 | 26 | 43 | 52 |
28 | 40 | 44 | 40 | 52 | 52 |
54 | 43 | 48 | 46 | 46 | 52 |
56 | 44 | 45 | 37 | 48 | |
44 | 44 | 40 | 40 | 43 | |
28 | 48 | 48 | 46 | 46 |
Analysis results
Mean | 44 |
Mode | 43 |
Median | 44 |
Variance | 62 |
standard deviation | 8 |
From the analysis performed on the results of the second semester, the location and the descriptive statistics were performed and were found as shown above.
Overall discussion of the inter-semester results
In overall view the results of the different semesters were analyzed and it was observed that the mean mark of the semesters was reducing from the 1st to the 3rd semester with mean marks of 70, 53 and 44 respectively. This trend was witnessed in all measures of dispersal including the median and the mode which had 68.11, 49, 44 and 59.71, 42, 43 for the 1st, 2nd and the 3rd semesters respectively. This shows the location statistics of the results were all in tandem. The variation statistics done included the variance and the standard deviations which also depicted results which were trending in the same manner with the location statistics having marks of 14,9.6, 8 and 218, 93, 62 for the 1st, 2nd and the 3rd semesters respectively.
Task 2
Domestic results marks
MARK | ||||||
85 | 85 | 58 | 66 | 56 | 43 | 59 |
52 | 75 | 57 | 70 | 54 | 44 | 34 |
68 | 98 | 66 | 73 | 56 | 44 | 43 |
54 | 65 | 70 | 64 | 59 | 44 | 44 |
53 | 52 | 73 | 57 | 44 | 44 | 43 |
52 | 68 | 58 | 64 | 28 | 45 | 44 |
68 | 65 | 66 | 70 | 34 | 40 | 44 |
52 | 54 | 58 | 73 | 28 | 43 | 48 |
54 | 53 | 47 | 57 | 34 | 44 | 45 |
53 | 65 | 56 | 64 | 56 | 44 | 40 |
52 | 54 | 39 | 66 | 44 | 45 | 48 |
52 | 53 | 49 | 70 | 28 | 40 | 45 |
85 | 68 | 47 | 73 | 34 | 43 | 40 |
75 | 65 | 49 | 58 | 54 | 44 | 43 |
98 | 68 | 47 | 57 | 56 | 44 | 48 |
75 | 65 | 47 | 49 | 44 | 48 | 48 |
98 | 54 | 56 | 49 | 28 | 45 | 40 |
85 | 53 | 39 | 47 | 54 | 54 | |
75 | 68 | 49 | 56 | 56 | 56 | |
98 | 65 | 47 | 39 | 44 | 59 | |
85 | 54 | 39 | 56 | 28 | 44 | |
75 | 53 | 64 | 39 | 44 | 54 | |
98 | 73 | 66 | 56 | 48 | 59 | |
58 | 70 | 39 | 45 | 59 | ||
57 | 64 | 49 | 40 | 34 |
Analysis of the domestic results
Mean | 55 | |
Mode | 52.37 | |
Median | 54 | |
Variance | 210.7081 | |
standard deviation | 14.51579 | |
International results
MARK | |||||||
57 | 76 | 99 | 63 | 49 | 47 | 37 | 52 |
57 | 76 | 91 | 52 | 41 | 47 | 26 | 46 |
57 | 78 | 90 | 54 | 44 | 42 | 40 | 48 |
57 | 99 | 76 | 51 | 47 | 49 | 46 | 43 |
57 | 91 | 76 | 68 | 47 | 42 | 26 | 46 |
99 | 90 | 78 | 52 | 42 | 49 | 40 | 48 |
51 | 76 | 91 | 54 | 49 | 42 | 46 | 43 |
60 | 76 | 90 | 51 | 41 | 49 | 37 | 46 |
63 | 78 | 63 | 52 | 44 | 68 | 40 | 48 |
60 | 99 | 60 | 52 | 47 | 54 | 46 | 43 |
60 | 91 | 66 | 54 | 47 | 51 | 37 | 46 |
66 | 90 | 51 | 51 | 49 | 68 | 26 | 48 |
63 | 76 | 51 | 52 | 41 | 68 | 40 | 43 |
60 | 76 | 60 | 54 | 44 | 52 | 46 | 46 |
51 | 78 | 66 | 51 | 47 | 54 | 37 | 37 |
60 | 99 | 63 | 41 | 47 | 51 | 26 | 26 |
60 | 91 | 60 | 44 | 42 | 68 | 40 | 46 |
60 | 90 | 60 | 47 | 49 | 68 | 52 | 48 |
66 | 99 | 66 | 47 | 44 | 41 | 43 | 52 |
60 | 91 | 51 | 42 | 47 | 42 | 46 | 52 |
60 | 90 | 63 | 49 | 47 | 41 | 48 | 52 |
66 | 76 | 60 | 44 | 42 | 46 | 43 | 52 |
60 | 76 | 66 | 47 | 49 | 37 | 46 | |
66 | 78 | 51 | 47 | 44 | 26 | 48 | |
60 | 57 | 63 | 42 | 40 | 43 | ||
66 |
mean | 56 |
mode | 59.71 |
median | 51 |
variance | 268.4478 |
standard deviation | 16.38438 |
Explanation
In-terms of performance based on the students’ status; the domestic and the international students, international students had performed better than the domestic students since they had a bigger mean of 56 compared to 55 achieved by the domestic students. Also mode also showed that majority of the domestic students scored 52 marks while their counterparts’ international students had a silvering score of 59 achieved by many of them; however the domestic students had a bigger median value as compared to the international students 54 to 51. The data location and the descriptive shows that the international students out-shined the local students despite having a bigger number of 197 students while the domestic students were 165
In variation angle of view, it is observable that the domestic students had a standard deviation of 14.51 while the international students had a 16. This implies that the international students results were more dispersed than those of the domestic students.
Task 3
Results representation in graphs
Semester 3 domestic results
mean | 45 |
mode | 43.98 |
median | 44 |
variance | 65.9509 |
standard deviation | 8.121016 |
Semester 3 international results
Mean | 42 | |
Mode | 42.52 | |
Median | 46 | |
Variance | 54.32544 | |
standard deviation | 7.370579 |
Discussion
Basing on the results for 3rd semester alone, the domestic students’ performance outshined the international students since they had a bigger mark mean of 45 exceeding that of their counterpart by 3. Also their mode value was larger; 43.98 to 42.52. Basing on the data locations, it is depicted that the domestic students had better bite of the grades.
In variations angle of view, it is seen that the domestic students had a bigger standard deviation; 8.121 compared to 7.370, which also shows that their results marks were also widely dispersed.
Task 4
HYPOTHESIS TESTING
H0: μ1 – μ2 = 0
H1: μ1 – μ2 ≠ 0
t-Test: Two-Sample Assuming Unequal Variances | |||||
Var 1 | Var 2 | ||||
Avg | 61.82994 | 50.4144 | |||
Var | 388.5578 | 65.41635 | |||
Obs | 162 | 200 | |||
Hyp avg Diff | 0 | ||||
Df | 205 | ||||
t Stat | 6.914589 | ||||
P(T<=t) one-tail | 2.92E-11 | ||||
t Critical one-tail | 1.652321 | ||||
P(T<=t) two-tail | 5.84E-11 | ||||
t Critical two-tail | 1.971603 | ||||
Discussion
T test is used to attest if the mean score of the female students was greater than that of the male students, since T test is a measure of equity. lf t Stat < -t Critical two-tail or t Stat > t Critical, then we will have to reject the null hypothesis. We have, -6.914589< 1.971603<6.914589. Therefore, we do reject the null hypothesis and conclude that the female students mean marks were significantly greater than those of the male gender. The two means are not equal.
Task 5
ANOVA | |||||
Mark | |||||
Sum of Squares | Df | Mean Square | F | Sig. | |
Betwn Grps | 42010.908 | 2 | 21005.454 | 167.655 | .000 |
Within Grps | 44978.970 | 359 | 125.290 | ||
T | 86989.878 | 361 |
To find the relationship among data in dispersed in more than two groups, T test not could have been have used. Therefore, One way Anova was selected as the best tool to be used in investigating the relationship between the 1st 2nd and the 3rd semesters.
Discussion
We have the value of F as 167.655, which realize significance with a p-value of .000 (which is less than the .05 alpha levels). This interprets that there is a statistically significant difference between the means of the different semesters. The means are not related they do differ.
TASK 6
HYPOTHESIS TESTING
H0: μ1 – μ2 = 0
H1: μ1 – μ2 ≠ 0
Var 1 | Var 2 | ||||
Mean | 54.8703 | 55.91342 | |||
Var | 206.5239 | 269.821 | |||
Obs | 164 | 196 | |||
Hyp avg Diff | 0 | ||||
Df | 357 | ||||
t Stat | -0.64249 | ||||
P(T<=t) one-tail | 0.260485 | ||||
t Critical one-tail | 1.649133 | ||||
P(T<=t) two-tail | 0.520969 | ||||
t Critical two-tail | 1.966631 | ||||
Discussion
T test is used to investigate whether the mean score of the domestic students was greater than that of the international students. lf t Stat < -t Critical two-tail or t Stat > t Critical, then we will have to reject the null hypothesis. We have, 0.64249<1.966631<-0.64249. Therefore, we do reject the null hypothesis and conclude that the international students mean marks were significantly greater than those of the domestic students.
TASK 7
HYPOTHESIS TESTING
H0: μ1 – μ2 = 0
H1: μ1 – μ2 ≠ 0
t-Test: Two-Sample Assuming Unequal Variances | ||||
Var 1 | Var 2 | |||
Avg | 48.5203 | 63.90994 | ||
Var | 98.5182 | 282.0944 | ||
Obs | 200 | 160 | ||
Hyp avg Diff | 0 | |||
Df | 245 | |||
t Stat | -10.2468 | |||
P(T<=t) one-tail | 4.88E-21 | |||
t Critical one-tail | 1.651097 | |||
P(T<=t) two-tail | 9.76E-21 | |||
t Critical two-tail | 1.969694 | |||
Discussion
T test is used to determine whether the mean mark of the Wollongong students was greater than that of Sydney students. lf t Stat < -t Critical two-tail or t Stat > t Critical, then we will have to reject the null hypothesis. We have, 10.2468<1.969694<-10.2468. Therefore, we do reject the null hypothesis and conclude that the Wollongong students mean marks were significantly greater than those of the Sydney students.
Conclusions and recommendations
- It is concluded that the female students performed better than the male students. To enhance equity in learning and equitability it is recommended that the learning staff should be also keen on performance of the male students by focusing more on the what the male students do that inhibits and minimizes their learning power this might include involvement in betting and missing classes.
- From the analysis done it was concluded that the performance of the students were smoothly reducing as the semester’s shifts from the 1st to the 3rd semester. It is then recommended that the teaching staff and school should consider revising terminal based activities throughout the year and to ensure leveled results throughout.
- Basing on the student’s status it is concluded that the international students performed better than the domestic students. It is recommended that the domestic students should be motivated to undertake academic work with more desire and passion with will motivate and feed, open up their minds.
- Finally, from the data and its analysis it is concluded that that the Wollongong students were academically better than the students from Sydney. It is recommended that Sydney students should be given extra academic guidance and coaching that will help them to raise their grades.
List of Reference
AlphaBeta. (2018). Future Skills. Retrieved from https://www.alphabeta.com/wpcontent/uploads/2019/01/google-skills-report.pdf
Bone, E., & Reid, R. (2013). First course at university: Assessing the impact of student age, nationality and learning style. The International Journal of the First Year in Higher Education, 4(1). 95-107.
Dawkins, P. (2014). Reconceptualising tertiary education and the case for re crafting aspects of the Abbott Government’s proposed higher education reforms. Melbourne: Mitchell Institute.
Ewell P., V. D’Andrea, P. Holland, K. Rust and F. Van Vaught (2010), AHELO TAG Report, December 2010.