Problem 2 (30 points) The fill size for a small bag of peanuts distributed by a popular airline is 50 grams. The producer wishes to set up a set of control charts for this process and collects the data shown in the table. a) What are the upper and lower control limits of their X-bar chart? b) What are the upper and lower control limits of their R-chart? c) Is the process in control? Sample Item #1 Item #2 Item #3 Item #4 54.5 54.3 53.8 50.4 50.6 53.5 53.2 54.9 51.1 54.3 50.4 50.7 52.7 52.1 51.3 51.0 51.7 51.2 54.7 54.3 51.1 51.5 54.7 50.4 54.0 52.3 54.7 51.4 53.2 50.4 53.4 51.4 51.9 50.2 50.2 52.9