- 10 For Each Of The Following Scenarios Identify With Reasons Whether It Is Adequate To Use Only Descriptive Statistic 1 (215.82 KiB) Viewed 86 times
10 For each of the following scenarios, identify, with reasons, whether it is adequate to use only descriptive statistical methods to address the problem situation or whether inferential statistical methods are also needed. Scenario 1 South Coast Estate Agency wants to determine the average selling price per square metre and size of accommodation of all residential properties in Margate, KwaZulu- Natal. The data from the 25 residential properties sold by their agents, out of the 230 total sales in the area last year, was gathered from deeds of sale documents. Scenario 2 The owner of the Numbi Restaurant asked a sample of 18 patrons who ate at the restaurant on a particular Saturday evening to complete a short questionnaire to determine their perception of the quality of service and food received that evening. Scenario 3 The organisers of the Design for Living exhibition held annually at the Good Hope Centre, Cape Town conducted a survey during the latest exhibition by randomly selecting 544 visitors as they left the exhibition hall. The survey's objective was to give the organisers some insight into what the sample of visitors found worthwhile about the exhibition and what innovations, if any, they would like to see at future exhibitions. Scenario 4 An environmental awareness NGO conducted a study in Nelspruit into consumers' attitudes towards 'green' (i.e. environmentally friendly) household products. A randomly selected sample of 196 shoppers was interviewed on their attitudes towards purchasing 'green' household products. The objective was to estimate the likely percentage of Nelspruit households who would buy 'green' household products. Scenario 5 Metrorail, the train commuter service in Cape Town, has been working on improving service to its commuters. A random sample of 875 commuters was interviewed recently on trains over a period of a week and asked their opinion on issues of personal safety on trains, comfort, cleanliness, convenience and punctuality. The results of the sample are to be used to measure the improvement in service. Scenario 6 Metrorail also recently conducted a campaign to attract road (bus, taxi and car) commuters to using their rail service. Metrorail's management commissioned a survey one month after the campaign ended to find out the success of their campaign. The brief of the researchers was to estimate the percentage of road commuters that converted to train commuting as a result of the campaign.
Scenario 7 The Star newspaper in Gauteng conducted a survey amongst a random cross-section of its subscriber readers to identify the popularity of the various sections of the newspaper amongst all its readers. 11 For each of the following random variables, state the data type of each random variable (categorical or numeric), the measurement scale (nominal, ordinal, interval or ratio scaled) and whether it is discrete or continuous. Also give two illustrative data values for each of these random variables: (a) ages of athletes in a marathon (b) floor area of Foschini stores (c) highest qualification of employees in an organisation (d) marital status of employees (e) different types of aircraft used by SAA for domestic flights (f) types of child abuse (physical, sexual, emotional or verbal) (g) performance appraisal rating scores assigned to employees (h) ranked preferences of employees to three different pay schemes (i) consumer responses to each of the following statements: (i) Rank your preference of the fruit juices that you have just tasted. Orange [1] Guava [2] Apple [3] Grape [4] (ii) Do you enjoy your job? [Yes [NO] (iii) Which mode of transport do you mostly use to commute to work? Car [1] Bus [2] Train [3] Taxi [4] Motorcycle [5] Bicycle [6] (iv) Returns on JSE equities are no better than those on unit trusts.' Rate your response to this statement using the Likert rating scale: Strongly disagree [1] Disagree [2] Unsure [3] Agree [4] Strongly agree [5] 6) masses (in kg) of bags of potatoes (k) brand of coffee you prefer (1) time taken in minutes) to travel to work (m) grades used to classify red meat (prime, super, first grade and standard) (n) monthly premiums payable on life assurance policies (o) number of patrons in a cinema (p) number of outlets owned by a chain store (qflying time of an Airbus A-300 between Johannesburg and Dakar (r) responses to the following question: How would you rate the service level of your bank? Use the following semantic differential rating scale: Extremely poor [1] Very poor [2] Poor [3] Unsure [4] Good [5] Very good [6] Excellent [7] (s) number of copies of the Cape Times sold daily by a café in Paarl (t) different sectors of investments in unit trusts.