Test of product quality using inspectors can lead to serious error problems. To evaluate the performance

of inspectors in a new company, a quality manager had sample of $12$ novice inspectors evaluate $200$

finished products. The same $200$ items were evaluated by $12$ experienced inspectors. The quality of

each item whether defective or non defective was known to the manager. The following table lists the

number of inspection errors $($classifying a defective item as non defective or vice versa$)$ made by each

inspector.