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.

Sample Number 1 2 3 4 5 6 Table Q2 Data of 30 samples of n = 50 cans each Number of Sample Number of Nonconforming Number Nonconforming Cans Cans 12 16 8 15 17 10 8 18 5 10 19 13 4. 20 11 7 21 20 16 22 18 9 23 24 14 24 15 10 25 9 5 26 12 6 27 7 28 13 12 29 9 30 6 7 8 9 10 11 12 17 13 14 15 22