3. (10 points) The number of holes per standard unit in an engine production process must be monitored. The first 6 samples generated the following results. SAMPLE CASTING NO. OF STANDARD NO. OF NO. OF HOLES/ STANDARD UNIT NO. TYPE UNITS (n) HOLES (c) (u;= c;/n) 1 V6 1.5 4 2.7 2 1-4 1.0 6 6.0 3 1-4 1.0 3 3.0 4 1-6 1.4 7 5.0 5 V6 1.5 9 6.0 6 V8 2.0 13 6.5 (a) Using an appropriate control chart, find the control limits for Sample #5. Does Sample #5 appear to be in control? (b) Using an appropriate control chart, find one common set of control limits that can be used to monitor the quality characteristic for all samples. You do not need to sketch the chart, but you need to show the center line and the control limits of the chart. Does the process appear to be in control?