14. The following table shows the records of the serial number of hand-made handbags produced by craftsmen A and B. Serial number 02 04 06 08 10 12 14 16 18 20 22 24 26 28 30 Craftsman B A B A A B B A B A B B B B A Serial number 32 34 36 38 40 42 44 46 48 50 52 54 56 58 50 Craftsman A A A B A B A B A A B A A B B The manager is going to check relationship between the two craftsmen and the quality of the handbags by using the following two methods. Method I: 6 handbags are selected randomly. Method II: 6 handbags selected randomly and proportionally from the craftsman A and B separately. (a) If Method I is used, write down the selected serial numbers by using the below random number table with the starting point row 1 column 4. (6 marks) (b) If Method II is used. (i) how many handbags produced by craftsman A and B should be selected respectively? (2 marks) (1i) write down the serial numbers of the handbags selected by using the below random number table with the starting point row 1 column 4. (6 marks) (c) Which method is better? Justify your answer briefly. (1 mark) Random Number Table Column 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Row 1 601 20 5607 1 0 3 4 9 1 2 4 1 3 2 1 1 6 3 2 0 079 2 6 3 2 2 2 1 2 3 8 3 5 60 7 1 9 1 2 4 1 9 3 4 2 5 6 0 1 2 0 4 0 3 4 9 1 1 0 4 7 8 8 2 4 1 3 0 1 4 6 5