In a continuous, automatic bottling of mineral water plant, the quality inspector wants to plot a x bar chart to monitor the volume of water in the bottles being filled. She has taken 30 samples with 4 observations each. The process average is 250 ml and standard deviation is 0.16 ml.

a. Calculate the upper and lower control limits for the process. (5 Marks)

b. What are the main objectives of process capability? (5 Marks)