From further data analysis on data in Table Q2, it was found that sample 15 indicates that a new batch of cardboard stock was put into production during that half-hour period. The introduction of new batches of raw material sometimes causes irregular production performance, and it is reasonable to believe that this has occurred here. Furthermore, during the half-hour period in which sample 23 was obtained, a relatively inexperienced operator had been temporarily assigned to the machine, and this could account for the high fraction nonconforming obtained from that sample. Determine whether a new revised center line and a revised control chart to improve the fraction of nonconforming cans produced by this machine are necessary for the mentioned analysis. Justify your answer.

A beverage company in Shah Alam has developed a new product line of packed beverage. Frozen lime juice concentrate is packed in 200 ml cardboard cans. In the Quality Control Department, quality inspectors perform inspection of every can, to determine whether, when filled, it could possibly leak either on the side seam or around the bottom joint. Such a nonconforming can has an improper seal on either the side seam or the bottom panel. As a Quality Engineer, you have obtained data of 30 samples of n = 50 cans each selected at half- hour intervals over a three-shift period in which the machine was in continuous operation. The data are shown in Table Q2. Table Q2 Data of 30 samples of n = 50 cans each Sample Number of Sample Number of Number Nonconforming Number Nonconforming Cans Cans 1 2 3 4 5 12 15 8 10 4 7 16 9 14 6 7 8 16 17 18 19 20 21 22 23 24 25 26 27 28 8 10 5 13 11 20 18 24 15 9 12 7 13 9 6 9 10 11 12 13 14 10 5 6 17 12 22 29 30 15 a) Using the data shown in Table Q2, set up a control chart to improve the fraction of nonconforming cans produced by this machine. (15)