Question 1 Which type of data is each of the following variables? Distinguish whether it is categorical or numerical, if it is numerical, please state whether it is continuous or discrete. Besides, classify the level of measurement if appropriate, that is, ratio, nominal, ordinal or interval. 1. Number of annual ofce visits by security management ofce in a shopping mall. 2. Daily caffeine consumption by a year two postgraduate student. 3. Type of vehicle driven by staff in Ching Chi College. 4. Age of a randomly chosen staff in Department of English. . Nationality of a randomly chosen staff in University Library. . Number of books return of a randomly chosen students in University Library. 5 6 7. Number of spectators at a randomly chosen inter-universities football match. 8. Water consumption (liters) during summer in Shaw Building. 9. Gender of a randomly chosen staff in New Asia College. 10. A customer's ranking of ve canteens in our University. 11. Noise level 400 meters from the North Lantau Highway at a randomly chosen moment. 12. Number of occupants in a randomly chosen bus on North Lantau Highway. Question 2 The data in below table are a sample of examination marks taken from 24 students who were on academic probation and who agreed to attend an extra tutorial lesson for 1 month. The marks were recorded before and after attendin that extra tutorial lesson. Student After Before Difference (After Before) 1 195 146 49 2 145 155 - 10 3 205 178 27 4 159 146 13 5 244 208 3 6 1|Page 6 166 14'? 19 7 250 202 48 8 236 215 21 9 192 184 8 10 224 208 16 11 238 206 32 12 19'}' 169 28 13 169 182 -13 14 158 12'? 31 15 151 149 2 16 197 178 19 1'? 180 161 19 18 222 18'? 35 19 168 1'16 -8 20 168 145 23 21 167 154 13 22 161 153 8 23 178 13'? 41 24 137 125 12 a) Compute the mean change in the examination mark. b) Compute the standard deviation of the change in examination mark. c) Construct a stem-andleaf plot of the examination mark. d) Compute the median of the change in examination mark. e) Construct a box plot of the examination mark to the right of the stem-and-leaf plot, and comment about the shapes. Question 3 Consider the following 3 set of experimental records Experiment A : 9.87, 9.98, 10.02, 10.15, 10.36, 10.36 Experiment B : 0, 1, 1, 2,2, 2,2, 2, 2, 2, 2, 2, 6 Experiment C : 0, 0, 1, 1,2, 2,3,5 a) Calculate the mean, median, and mode, of each of the above records. 2|Page b) From the above three measures, discuss which is the weakest indicator of each of the above records. Question 4 A nutritionist claimed that the number of calories in a standard lunch in our canteen is normally distributed with a mean of 435 and a standard deviation of 50. Edmond's lunch had 610 calories. Was this an outlier? Explain. Question 5 The manager of our canteen claimed that the demand for meat is 15000 with a standard deviation of 3750. The mean monthly demand for vegetable is 6800 with a standard deviation of 1700. Which demand pattern has more relative variation? Explain. Question 6 The table below shows average daily sales of new promotion of drink during last season in 74 canteens in Shatin districts. You can solve this problem by excel or other suitable programming if you like. (a) Would you say the distribution is skewed by constructing a histogram? (b) By considering Z score, determine if there are any outliers? 21 28 27 26 12 24 18 19 24 16 17 20 23 13 17 17 19 36 16 34 25 15 16 13 20 13 13 23 17 22 16 29 11 34 31 18 22 17 27 16 24 49 25 18 25 21 15 16 20 11 21 29 14- 25 10 15 8 12 12 19 32 8 14 20 28 19 37 31 16 16 11 17 17 9 Question 7' Suppose you need to conduct a survey to study the living habits of the freshmen in Faculty of Sciences for your GE courses, you need to obtain a sample of 500 students. Design a sampling technique that can help you to collect the appropriate information, disCuss the advantages and disadvantages of the sampling technique you adopted, levels of measurement and some potential errors in your survey