(c) c Nine participants were interviewed during a study on the average income in Singapore. The data are summarized in Table 7. Determine the effect of age on the income for female, as well as the effect of age on the income for male. Is there an interaction between age and gender? (6 marks) Table 7 Participant No. Age Marriage Gender Income (k $/m) 1 >45 Single Male 3 2 >45 Married Female 4 3 45 Single Male 2 6 45 Single Male 7 9 >45 Married Female 5 (d) Work out the plus-and-minus-sign table of a 24-1 design and show the run notations of this fractional design on the table. There are two requirements for establishing the basic design: (1) factors B, C and D are used as the basic factors; and (2) the run notations of the basic design are presented in a standard run order. (6 marks) (c) c Nine participants were interviewed during a study on the average income in Singapore. The data are summarized in Table 7. Determine the effect of age on the income for female, as well as the effect of age on the income for male. Is there an interaction between age and gender? (6 marks) Table 7 Participant No. Age Marriage Gender Income (k $/m) 1 >45 Single Male 3 2 >45 Married Female 4 3 45 Single Male 2 6 45 Single Male 7 9 >45 Married Female 5 (d) Work out the plus-and-minus-sign table of a 24-1 design and show the run notations of this fractional design on the table. There are two requirements for establishing the basic design: (1) factors B, C and D are used as the basic factors; and (2) the run notations of the basic design are presented in a standard run order. (6 marks)