Business Maths and Statistics | My Assignment Tutor

© TAFE NSW Higher Education Page 1 of 6Assessment 4Subject Code: BUMAN201ASubject Name: Business Maths and StatisticsSemester 1, 2021Assessment 4: Case StudyVersion Date: 7 May 2021Version Date: 25 January, 2018 (V1) vVVersion 1Assessment 4 – Business Maths and Statistics© TAFE NSW Higher Education Version 2 –7 May 2021 Page 2 of 6Case StudyRefer to your subject guide [pp. 5, 18] for marks allocation and general report requirements.This assessment requires you to collect your own data and analyse it alongside the provided data onthe Moodle and write a business report of your findings to provide business advice. The taskinstructions are outlined on pages 3-6.This task consists of analysing the data you collected and were provided to provide marketing adviceto your company. This report is a 2000-word case study which is supported by calculations. Your reportmust contain your analysis, the method/how you are analysing the data, and a discussion on themeaning/significance of your analysis with business advice. This report should be viewed as a way toguide/inform a business.Relevant data and/or results may be included in your report using small data tables as an acceptablemethod of presentation. For graphical data/analysis, you should provide raw data in a table alongsidethe graph or in an appendix. Where relevant, show all workings for calculations. Your working may bein an appendix.All submissions must comply with the requirements listed in the Course Handbook, with all citations& referencing complying with the Harvard AGPS referencing style.Students should note the word limit for this report. Responses must be within 10% +/- of the wordlimit. Tables, reference list and major headings do not form part of the word count.Please include your word count on your title/cover page.Assessment 4 – Business Maths and Statistics© TAFE NSW Higher Education Version 2 –7 May 2021 Page 3 of 6Task instructionsThis assessment contains two parts.Part 1You company in interested in purchasing a CNC textile cutting machine to increase the volume ofclothing that can be manufactured, and to reduce the workload on the staff by automating theprocess. Your company requires you to find a recommendation for a loan to purchase the equipmentand to determine the best method of depreciation of the asset for your business (see data on pg. 4).Part 2You have been tasked with advertising the new line of clothing/sports accessories. You have beeninstructed to consider two methods of marketing. 1st by running a standard 30 second advertisementon televised sporting events, and 2nd by sponsoring an athlete in a televised sporting event, specificallyyou want to supply clothing to a promising athlete for exposure.You are interested in 3 factors before you decide on what to advertise/who to sponsor.1. Are athletes improving over time? If so, you can market clothing/accessory technology as partof this reason and sell your apparel as the next breakthrough technology.This will be done by collecting Olympic data from a recent and historic Olympic event anddetermining to an appropriate confidence level whether one group was “better” than theother on average. (This data is not provided)2. Is there a correlation between the performance of a sponsored athlete and the exposure thatathlete brings to a televised sporting event?This will be done by analysing the televised exposure percentage that the top 20 golfersreceived during 6 tournaments and determining if the data is correlated using a scatter plotand linear regression. (This data is provided)3. Is the expected exposure time the athlete would bring worth more than their sponsorship costcompared to running advertisements for the same amount of time?You have an opportunity to sponsor a golfing athlete at a cost of $299,000. They are going tobe playing in an upcoming televised tournament. The cost of a televised advertisement in thisevent is $39,000 per minute. The tournament is televised for 2 hours with 30 minutes ofadvertising in that 2-hour timeslot.You wish to know if the potential sponsorship of the athlete would be worth more than thecost of their sponsorship. That is, is paying for advertisements for the same amount of timethe athlete is expected to bring in exposure more or less expensive than the cost ofsponsorship? From this provide feedback as to whether you recommend sponsoring theathlete. (This data is provided)Note: This is a business report and needs to be written as such. However, your statistical analysis andthe method you used to analyse the data must be part of the report.Assessment 4 – Business Maths and Statistics© TAFE NSW Higher Education Version 2 –7 May 2021 Page 4 of 6Analysis InstructionsThis section is to help you in the analysis. These are not questions. Your report must be business advicebased on your findings after performing the following analysis.Part 1LoanThe CNC textiles cutting table your company is interested in purchasing is valued at $29,000. Theexpected purchase date is the 1st October. According to the Australian taxation office (ATO) theworking life of this equipment is 15 years.You have two options for a loan to purchase this equipment.1. A bank loan with 4.75% PA interest, with monthly repayments, compounded month, paid overa term of 4 years. This loan contains a $500 setup fee.2. A manufacturer loan with an interest rate of 5.95% P.A with quarterly repayments,compounded quarterly, paid over 5 years. This loan contains a $100 setup fee.Provide advice as to which loan you recommend.DepreciationDetermine the depreciation schedule for the life of the CNC table using both the prime cost anddiminishing value method, given the intended purchase date is the 1st October 2021.Provide advice as to which depreciation method you recommend for your company. Show thedifferences graphically.Assessment 4 – Business Maths and Statistics© TAFE NSW Higher Education Version 2 –7 May 2021 Page 5 of 6Part 2Factor 1: Are athletes improving over time?You are to collect time data from a recent Olympic games (2000-2016 Olympic games) of an individualevent (i.e. not a team event). The data you collect must be in terms of time required to finish or totalpoints etc. You will need a minimum of 30 data points. This could be achieved by collecting the timesfrom the quarter finalists (or semi-finals etc) in that Olympic event. An example could be 100msprinting time, high jump height, etc.You will then find the same data from an Olympic games that was at least 30 years before the recentOlympics games you selected above. Your data must not be older than 1952.Your analysis of this data is to determine an appropriate confidence interval of the mean times (orheights, points etc) for both data sets. Determine if the recent athletes outperformed on average thehistoric athletes by looking at your confident intervals (Hint: do they overlap or not? If they overlapyou cannot analyse this data using confidence intervals, so include a statement about why furtheranalysis would be required).Discuss your findings. Is the claim that athletes are improving over time due to technology reasonableto include in your advertising? Could there be other factors that may have impacted this result?Provide advice.Factor 2: Does the performance of an athlete correlate with the exposure time of that athlete on atelevised sporting event?You have been provided with data outlining the amount of exposure the top 20 athletes in 6 golfingtournaments have received as a percentage of the total time the tournaments aired on television. Toanalyse this there will be several steps. Ensure that you address each step in your response.1. Graph this data in a meaningful way to visualise any trend in the mean exposure time.2. Of the top 20 golfers, only the top 5 will be analysed. (Explain why you want to do this)3. Using a scatter plot, is there a correlation between the position the golfer finished with theamount of exposure that athlete received in the top 5?4. Is this correlation statistically significant?5. Using a linear regression, determine the equation of the line of best fit, and examine the slope.How much more exposure time does each subsequent finishing position provide according toyour regression line?Assessment 4 – Business Maths and Statistics© TAFE NSW Higher Education Version 2 –7 May 2021 Page 6 of 6Factor 3: Should you sponsor someone?You have been provided with data on the most recent 50 finishing results of a golfing athlete that yourcompany is considering sponsoring in an upcoming golf tournament. The cost of sponsoring them isin the data provided on the Moodle. You need to determine whether the likely value of exposure theybring is worth more than the cost of their sponsorship, given advertising in the tournament is $39,000per minute. The tournament is televised for 2 hours, which includes 30 minutes of advertising.1. Determine the amount of television exposure time and hence exposure percentage, theathlete would need to be worth more than their sponsorship compared to running anadvertisement for the same period of time in the upcoming tournament.2. Determine the athlete’s mean finishing position and the standard deviation based on theirprovided previous finishing results. What does this data tell you about the athlete?3. Using your linear regression from part 2, determine what position you expect the athlete willneed to finish so that they receive the exposure time you determined in 1. above.4. What is the probability that the athlete will finish in this position or higher based on theirprevious results?5. Look closely at your data and discuss your findingsDo you recommend sponsoring this athlete? Provide advice. You do not need to analyse this data anyfurther


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