Notes for Submissions 1. The due date of this assignment is 20 October 2023 (Section 3: Before 12:30pm; Section 4: Before 11:00am). 2. Your answers should be properly presented and in English. 3. You should provide your name, student number and section number on the first page of your answer sheets. 4. You are required to submit a hard copy of your answers to the assignment by the due date. Late assignments will not be accepted, and zero marks will be given. 5. You should provide clear labels for all charts. 6. You should provide clear units for your numerical answers, otherwise your answers will be considered as wrong. 7. Warning: Cases of plagiarism will be forwarded to the Student Disciplinary Committee for consideration. Question 1: [30 Mark] The quality inspector of a factory needs to make sure that the machine used for cutting a component is working properly. Every hour the inspector takes a random sample of eight (8) components from the output and measures the length (in centimeters) of each component. The following table shows the statistics on 12 such samples. a. Why Phase-I SPC control charts should be used for this case? [4 Marks] b. What type(s) of control chart should be used for controlling the length of the component? Why? [4 marks] c. Construct Phase-I control charts based on three-sigma limits. What conclusion can you draw based on the control charts? Provide your explanations. [12 marks] d. If the specification range for the length of the component is between 7.95cm and 8.05cm, with the industrial standard, is the cutting process capable of meeting the specification? Justify your answer. [10 marks]