There is discussion about the various performance of two production machines. The quality control team finds that there is much variation in the output of two machines. This situation affects the reputation of the company, so the senior management would like to confirm whether the variation substantially exists or not. As the Quality Manager of the company, you have to check and confirm whether the performance of these two production machines has any variation. You are required to: (a) Suggest and explain which statistical method(s) can help to prove any (8 marks) variation of performance between two production machines. (b) Use a mathematical example to support your suggestion in (a). (12 marks There is discussion about the various performance of two production machines. The quality control team finds that there is much variation in the output of two machines. This situation affects the reputation of the company, so the senior management would like to confirm whether the variation substantially exists or not. As the Quality Manager of the company, you have to check and confirm whether the performance of these two production machines has any variation. You are required to: (a) Suggest and explain which statistical method(s) can help to prove any (8 marks) variation of performance between two production machines. (b) Use a mathematical example to support your suggestion in (a). (12 marks