or this assessment, you need to produce a report by generating responses to six tasks presented below. For some of these sections, you will need to use Excel to generate statistical output (statistical analyses and graphs). The report should be presented in the form of a business report to a senior manager who cannot be assumed to have any particular knowledge of statistical methods. Microsoft Word and Excel should be used to complete this assessment. Your statistical calculations should be carried out using Excel only.
You will need to download the Excel dataset ‘Salesdata.xls’ from Blackboard. The data set is about banking, and is supplied by the ‘Office Supplies Pty Ltd’. There are 2000 orders for the year in this data set, and six variables as follows:
1. ORDER ID: Order number in no particular order 2. ORDER PRIORITY: Importance of order (4: Critical, 3: High, 2, Medium, 1 Low and 0 is not specified) 3. ORDER QUANTITY: The number of items within the order 4. SALES: The total dollar of the order 5. SHIP MODE: The type of mode of delivery (1:Regular Air, 2: Delivery Truck, 3: Express Air) 6. CONSUMER SEGMENT: Type of customer ( Corporate, Home Office, Consumer or Small Business) 7. DAYS TO SHIP: number of days to ship the order from the day the order was placed
You will use this data set to generate responses to the following six tasks. 1. Select a random sample Select a random sample of size 60 from the given 2000 orders in the Sales data set. You will use this sample data to complete tasks 2 to 6. 2. Descriptive statistics Use data summary methods to describe the orders in your sample using the seven variables. Use an appropriate graphical and summary statistical technique, chosen
according to the type of variable (note that less appropriate/inappropriate techniques will receive fewer/no marks). Choose your techniques from:
Tabular Techniques: frequency tables and grouped frequency tables Summary Statistics: mode, median, mean, standard deviation, range, coefficient of variation and interquartile range Graphical Techniques: pie chart, bar graph, histogram, frequency polygon .
Do not draw an ogive curve, stem plot, or a box plot in this assignment and do not draw 3-D graphs.
1. For a nominal or an ordinal variable draw a graph and present a frequency table in percentages. 2. For a ratio or an interval variable draw a graph and a summary statistics table, including summary statistics appropriate to the type of distribution only. 3. Try to use variation in drawing graphs e.g. pie chart/bar chart or histogram/polygon. 4. Do not draw two different graphs for the same variable. You can draw the same type of graph for two variables. 5. Do not include any information that you will not include in your discussion such as kurtosis. 6. Display and describe one variable at a time. 3. Confidence intervals
Estimate the following quantities, using 95% confidence intervals. Explain the meaning of your confidence intervals.
1. The average sales amount of orders for the corporate customers only. 2. The average total sales dollars for all orders. Compare both intervals with their respective true means by calculating the actual population mean for the full 2000 orders, and comparing the population mean to the sample mean and confidence interval (note: it is not usual to do this, so you are asked to do this for the purpose of this assignment).
Your confidence interval should start with ‘We are 95% confident that…”. This section should take half a page or less. NB: Please make sure you provide sufficient information in the appendix for your confidence interval calculations to be replicated, so they can be checked. 4. Hypothesis testing 1. It is often felt that the order priority of critical would be shipped earlier than an order of low priority. Investigate this contention by carrying out an appropriate hypothesis test. 2. It is often felt that the average sales order in dollars, differ for Air ( Express and Regular) and Delivery Truck. Use ship mode for this test.
Only report a non-technical explanation of your methodology and your findings in the main section of the report. The computations and output should be placed in an
appendix, including the test statistic, p-value and degrees of freedom. This should take half a page or less. 5. Correlation and regression In this section you will investigate the relationship between the sales in dollars and order quantity. Using these two variables (sales and order quantity) develop a regression model to predict average sales in dollars from order quantity. Make sure that you undertake a full regression analysis, with appropriate discussion and include:
1. a scattergram and a brief discussion 2. an estimate of the linear regression model 3. the coefficients of correlation and determination 4. a test of the hypothesis that there is no linear relationship between sales and order quantity for an order.
Ensure your scattergram includes a line of best fit. Also, make sure you describe the relationship between the variables using R and R-square, and interpret the slope, coefficients and the results of the hypothesis test. 6. Conclusion
Provide a brief, concise summary of all of your findings and briefly mention any limitations in your findings. Make sure you do not give tables or graphs here. Presentation
The report should be presented in the form of a business report to a senior manager who cannot be assumed to have any particular knowledge of statistical methods.
Make your report informative but concise and use a non-technical style. Do not just quote statistics or analysis results but explain what they mean. In general, do not include in the report formulae, calculations, definitions of statistical terms or discussions on how graphs are constructed. Where appropriate these may be included in the appendices.
It is important that the values which have been calculated are correctly analysed, discussed and interpreted, and that a written description of the main features of the tables and graphs that have been constructed is included. The emphasis in this assignment is on interpretation and analysis, not just the computation of statistics and construction of graphs. It will be assumed that all computations have been correctly performed and that graphs have been properly constructed. Nevertheless, marks will be deducted if these are inaccurate or incorrect.
Presentation is an important feature of a business report. The guide to presentation that follows gives a general outline to report writing.
Executive Summary 1. Report only the highlights of the findings. 2. Entice an Executive to read on. 3. Essentially a lively summary of the main conclusions. 4. No longer than one page; this is not counted in the word count and must be on a separate page from the rest of the report.
1. State the purpose of the report i.e. what you will discuss in the report 2. Outline the contents of the Report 3. Provide a brief description of the methodology 4. Describe the source of the data and state its location in the report. 5. This should contain information about what we expect to read in the project. This should take about half a page.
1. Contains a thorough yet non-technical description of all the findings (graphs and tables will be included only where they help this discussion). 2