Whole Grains LLC uses statistical process control to ensure that their health-conscious, low-fat, multi-grain sandwich loaves have the proper weight of 6 oz. Based on a previously stable and in-control process, the control limits of the and R charts are: UCL = 5.70, LCL = 5.34, UCLR= 1.219, LCLR= 0. Over the past few days, they have taken five random samples of four loaves and have found the following.
Sample Net Weight
Loaf #1 Loaf #2 Loaf #3 Loaf #4
1 6.1 5.8 6.0 6.1
2 5.8 5.8 5.5 5.8
3 5.0 4.8 5.1 5.0
4 5.5 5.9 5.7 5.9
5 5.2 5.1 5.2 4.9
A) Based on X bar chart, is one or more samples beyond the control limit? Yes or No
B) Based on R-chart, is one or more sample beyond the control limit? Yes or No