Question 2- A coffee shop has a drive-through that is almost fully automated. Each mug of coffee is dispensed by the automated machinery and should provide exactly 12 ounces. Recently, customers have complained that the cups appear to have too much or too little coffee. The coffee shop began a quality control program. Every day for 9 days they sampled nine cups of coffee. They computed the average amount of coffee for the nine cups and the average for the range of values. Those values are listed below. (present the details of calculations) Mean Range 1. What would be the upper control limit (UCL) and lower control limit (LCL) for the means? 2. What would be the upper control limit (UCL) and lower control limit (LCL) for the range values? 3. Plot the control charts (both Mean and Range charts) including the samples in table above. (you may use excel to do this) 4. How many of the observations for the means are out of control? 5. How many of the nine observations for the ranges are out of control? 6. Assume that the coffee shop obtained the same values for the means and the same values for the ranges, but it had used a sample size of 16 . What then would be the upper control limit (UCL) and lower control limit (LCL) for the means? 7. Assume that the coffee shop obtained the same values for the means and the same values for the ranges, but it had used a sample size of 16 . What then would be the upper control limit (UCL) and lower control limit (LCL) for the ranges