In: Statistics and Probability
To monitor the manufacturing process of rubber support bearings used between the super- structure and foundation pads of nuclear power plants, a quality control engineer randomly sampled 100 bearings from the production line each day over a 15-day period. The bear- ings were inspected and the number of defects was found. The number of defects in your personalised data set are as follows:
1, 12, 3, 4, 4, 2, 4, 5, 4, 1, 9, 3, 3, 2, 2
(a) Use R to plot the appropriate control chart to check if the proportion of non-conforming units was in control.
(b) Using manual working, verify that the control limits are what you expect them to be.
(c) Assuming the assignable cause of variations have been found, construct a control chart that can be used to monitor the non-conforming proportion on future days of the process.