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STATS1900 Business Statistics
Minor Assignment
Date Due: Week 4, Friday 14th August 2015: 5.00pm
Total Marks: 25 marks
Worth: 10% of final assessment
This assignment requires a considerable amount of computer work and written comment. You may need to seek guidance from your tutor along the way. Do not leave the Assignment until too late. Each question carefully describes what you are required to do, so please follow the instructions carefully. Your answer to each question should begin with the number of the question. Refer to the Assessment Criteria and General Marking Guide below for details.
In this assignment you will examine injury data obtained from a company that wishes to do some simple exploratory data analysis on the injuries sustained by its employees. Each time an employee is injured costs this company in time and money. This company hopes that by analysing the injury data their safety performance might improve. The data is contained in the file Employee Injury Data.xls and contains the following columns (variables):
Variable Description
Site Company workplace: 1 = City Site, 2 = Rural Site, 3 = Inter-state Site
Rpt Date Date the accident was reported
Days Lost Number of days off work lost due to the injury
Cost $ Cost of the injury to the Company
Age Age of the employee injured
Nature The type of injury
Mechanism How the injury occurred
Location The main part of the body where the injury occurred
Agency The most likely reason for the injury
Random Sample: Before you begin your analysis you are required to take a random 1 mark sample of size 100 from the 150 cases in the file. Use the file Sample-Generator-101.xls to do this. Your tutor will show you how this can be done in EXCEL. Your answers to the questions below are to be based on your sample of 100 cases. Make sure to keep a safe copy of your sample since you cannot use Sample-Generator-101 to reproduce the first sample. Provide a printout of the data in your sample, with ID numbers in ascending order.
Task 1: Variable List: Using the variables listed in the table above state whether the 2 marks variable is qualitative or quantitative, and if it is quantitative also state whether it is discrete or continuous.
Costs of Injuries: One of the main concerns to the company is the costs associated with employee injuries.
Task 2: Histogram: Create a histogram showing the distribution of costs. Comment upon 5marks the shape of the distribution: is it symmetric? If it is not, is it positively or negatively skewed? Are there any outliers present? If so, are they of particular interest to the company?
Which central measure would be best to use to describe the centre of this distribution? Give reason(s) for your answer. Task 3: Descriptive Statistics: Prepare a simple summary table that shows the average
5 marks and standard deviation of injury costs for the three work sites. Construct side-by-side boxplots for the injury costs. Briefly comment upon any differences you observe in injury costs for each work site.
Task 4: Pivot Table: Construct one pivot table that shows how many injuries of each type 2 marks occur at each site. Place nature of injuries in the rows, sites in the columns and a count of the nature of the injuries in the body of the table.
If the Company wanted to improve their safety record which injury types should 3 marks they focus their attention upon at each site?
Conclusion: From the tasks above, you should have some idea of the safety performance of this company. In this section you should write a short paragraph summarising your main findings and provide a final recommendation about how this company might improve their 2marks safety record.
Bonus mark: If overall flow and structure of discussion, technical language, grammar and spelling is sound (up to 5 marks).
5 marks
Total Marks = 25
Worth 10%
General Assessment Criteria:
First class level student work will display an ability to apply conceptual understanding of statistics and data analysis techniques to practical situations. In this case, such work will show evidence of student’s ability to:
• Identify the problem of interest and its practical importance.
• Source appropriate data for analysis.
• Use appropriate tools to extract and analyse the data.
• Determine the best method of data analysis and identify limitations of such method. • Explain results with clarity and confidence.
Other levels of work: The further the student’s work deviates from the generalised ideal described above, the lower their resulting mark is likely to be.



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