1. Random variables which yield numeric responses and can be meaningfully manipulated using conventional arithmetic operations is typically referred as.... (2) A Quantitative data B Qualitative data C Questionnaire D Moderating variable 2. Which one of the following is not associated with descriptive statistics? (2) A A histogram B A frequency polygon C A Pareto chart D Generalising the findings from a sample to the population from which the sample is drawn 3. Random variable which yield non-numeric responses and is often presented as labels, phrases, sentences, names may be referred to as... (2) A Analytics B Construct C Qualitative data D Quantitative data18. The linear regression equation is given by y=a+ bx. The values of a and b, respectively, are (4) A. - 1.06 and 0.502 B. 1.59 and 0.349 C. 1.06 and 0.502 D. 1.06 and - 0.502 19. What will be the estimated income of family F if their monthly expenses is R 25 000? (4) A. R 41 000 B. R 48 000 C. R 62 000 D. R 52 000 20. The Pearson's correlation coefficient is: (4) A. - 0.988 B. 0.873 C. 0.935 D. 0.988Questions 21 - 25 refer to the table below which provides information about employees at Regent Business School Job description Gender Academic staff Support Staff Total Male 40 B 50 Female A 20 100 Total 120 30 150 21. The missing values A and B are: (4) A. A = 40 B =10 B. A = 80 B =20 C. A = 30 B =15 D. A = 80 B =10 22. If an employee is selected at random, the probability of is part of support staff given she is female is: (4) A. 2/10 B. 4/15 C. 2/15 D. 3/15 23. If an employee is selected at random, the probability of the employee not being a female and not being part of support staff is: (4) A. 2/10 B. 4/15 C. 2/15 3/1524. If an employee is selected at random, the probability of the employee being part of the support staff is: (4) A. 2/10 B. 4/15 C. 2/15 D. 3/15 25. If an employee is selected at random, the probability of the employee being a female and is part of support staff is: (4) A. 2/10 B. 4/15 C. 2/15 D. 3/15 26. There are 30 students in a class. If we all students do elbow bumps (instead of shaking hands) with one another, how many elbow bumps are possible? (4) A. 870 B. 435 C. 30! ( factorial 30) D. 29! +1 (factorial 29 plus one)27. In the knockout stage of a soccer tournament, every team plays a match with every other team. 9 teams participated in the tournament. How many matches were played in the first round? (4) A. 36 B. 75 C. 9!( factorial 9) D. 9! +1 (factorial 9 plus one) 28. Which one of the Venn diagrams below represent mutual exclusivity between events A and B? (4) A. B. OO C. D.\f4. 1ll'llhich one ofthe following statements about the distinction behveen one-stage cluster sampling and stratied sampling is patently false? [2] A D In a one-stage cluster sampling a sample of mutually exclusive naturally- occurring subgroups within the population or clusters is chosen using an appropriate procedure. and a complete enumeration of only the selected clusters is carried out: in stratied sampling. the sampling is done on elements within each stratum. The main objective of stIatied sampling is to increase plecision and replesentation. whereas the objective of cluster sampling is to reduce costs and improve sampling efciency. In stratied sampling. the sampling is done on elements within each stratum. In stratied sampling. a random sample is drawn from each ofthe stIata. whereas in cluster sampling only the selected clusters are sampled. In stratied sampling the subgroups of interest are naturally occurring. whereas in cluster sampling the researcher imposes the bifurcation ol the subgroups. 5. Which one ofthe following statements about the distinction between quantitative and qualitative studies is patently false? {2] A In quantitative studies large samples are typilllly used and the data collection instrument is higth structured. whereas in qualitative studies involve small samples and data collection requires in-depth investigation. Quantitative studies typilllly require statistical analysis. whereas qualitative studies usually employ analytical methods which are non-statistilll in nature. Ctuantative studies are typically not meant to be generalised to a Ialricler content than the one studied with any oondenoe. whereas qualitative studies usually require some form ofgeneralisation to the study population. Ctuantative studies typically employ probability sampling. whereas qualitative studies usually employ non-probability sampling. As per their tenet of measurement. telephone numbers in a phone DDOI'L are classified as: {2]- A Nominal B Urdinal C Interval D Ratio As per their tenet of measurement the jersey numbers of orioltet players are classied as: {2} A Nominal B Urdinal C Interval D Ratio As part of a quantitative study. researcher has computed the measures of central tendencies of the ages tin years} of 20:] respondents 1llrho oompleted a ouI-Itionnaire in a su ryey study. The mean age of the respondents is 33.? years. the median age is 3?.2 years and the modal age is 4&4 years. Which one of the following descriptions is a good description of the data? {2]- A The data is plIitively skewed B The data is negatively skewed C The data is hcm'lally distributed D The distribution of the data is symmetrical Questions '5 to 13 pertain to tho information below. An original equipment manufacturer. JUAKALI Manufacturers. employs the services of a sales engineers. W'l'lE! core job function is to provide a range of technical assistance to clients of JUAKALI Manufacturers in each of the company's 1|] operational regions throughout South Africa. The sales engineers use their personal vehicles. and their salaries include a fixed commuting or travel allowance of R100 per kilo metre. JUAKALI Manufacturers has provided the distances commuted by a representative sales engineer over the past 30 woriting days as shown in the frequency distribution below. Distance tlu'n} Frequency [days] [D : 1D} '1 [1|] :20] 3 [2|] : 30] T [so :so] [on :m: 3 [4o ; 5o] [m 9. Using the appropriate computational formulae. the average distance commuted by the sales engineer daily is: {4} A. 30 ltm. B. 33.33l-tm. C. 34.5 km D. 35 km \f13. Using the appropriate computational formulae, the coefficient of variation is: (4) A. 25.32% B. 32.26% C. 41.78%% D. 45.48% Question 14 and 15 relates to the table below displaying the average price (R) and average quantity (kg) of meat products sold daily at a small grocery shop during 2017 and 2019 respectively. ITEM POULTRY BEEF MUTTON Price (R) 125 205 315 2017 Quantity 200 150 100 Price (R) 160 250 400 2020 Quantity 260 200 125 14. The using 2017 as base year Laspeyres price (LPI) and quantity (LQI) indices are: (4) A. LOI 125.501 LPI 129.370 LOI 129.370 LPI 125.5011 129.315 LPI | 125.449 D. LOI | 125.449 LPI 129.315 15. The using 2017 as base year Paasche price (PPI) and quantity (PQI) indices are: (4) A. POI 125.501 PPI 129.370 B PQI 129.370 PPI 125.501 C. POI 129.315 PPI 125.449 D. PQI 125.449 PPI 129.315Questions 16 - 20 refer to the information below. The monthly income and expense (in thousands of Rand) of 5 South African families is shown in the table. Family Income (R 000s) (x) Expense (R 000s) (y) xy 5 25 40 13 8 169 64 C 20 10 A 100 200 24 14 576 196 336 E 32 17 1024 B 544 16. The values of A, B and C, respectively, are: (4) A 200, 289, 104 B. 400, 34, 104 C. 400, 289 and 104 D. 400, 289, 210 17. The values of Ex?, Zy' and Exy, respectively, are: (4) A. 1876; 674; 1224 B. 2233; 765; 1224 C. 2233; 674; 1264 D. 2233; 674; 1224