Control chart/charts.

    INSTRUCTIONS 1. There are One problem in this Assignment. It must be done correctly to get maximum points (10 Points). 2. Remember, 'nothing is obvious'. Please write everything clearly including all assumptions. It is your responsibility to show all the required work.   A company produces small engines for regular cars, and it decides to build a larger engine that will be used for trucks. As the company has never made this kind of engine, the company starts a new line for manufacturing a specific piston ring size in order to produce the new engine. The piston's inside diameter length has been determined as a quality characteristic that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of the piston diameter have been as follow: Day Mean (millimeter) Range (millimeter) 1 156.9 4.2 2 153.2 4.6 3 153.6 4.1 4 155.5 5 5 156.6 4.5 A) Determine and Construct the control chart/charts. (6 Points) B) Can you conclude that the process of producing the piston is in control? (1 Points) C) Assumed that the manufacturing estimated process that produces the piston is centered at 155.16 millimeters and has a standard deviation of 0.46 millimeter. If the specification for the piston's length is 155 ± 2 millimeter, does the process capable of producing within the specification limits? (Support your answer based on Cp and Cpk) (3 Points) D) Based on Part b and c, how can you describe and explain the overall process of producing the piston? (1 Bonus for this question) a. Desirable process b. Undesirable process but with no waste c. Undesirable process with waste