2. Time in System Analysis (12 marks) ABC's primary performance measure in the eyes of the retailer is how quickly they can receive, sort and get the products on their way to their retail locations. This is known as "time in system" - the time between when the bar-code on the package is first scanned at the receiving dock and when the package is scanned last while entering the truck destined for a specific retail location. Since "time in system" is critical for ABC, they have tracked historical performance and found that the average "time in system" is 29 minutes and the historical range has been 15 minutes. ABC knows that the retailer is due to drop by for an "unannounced performance audit" sometime soon. Since the retailer has withdrawn contracts from 3PLs that performed poorly on these surprise audits, ABC want to identify and eliminate causes of inconsistent "time in system" performance. Specifically, they would like these recent "time in system" samples to be analyzed: Sample # 6 Observation. 1 2 3 4 5 7 8 9 10 (in minutes) #1 32 42 27 24 29 26 31 31 38 #2 22 28 40 13 32 35 26 33 #3 33 34 28 19 43 25 25 42 #4 28 24 17 39 32 34 #5 18 25 26 20 38 27 27 37 40 Calculate the relevant control limits and prepare relevant quality control chart(s) using z-3. Provide an analysis of the "time in system" performance based on the recent samples. (Use 4 decimals for standard deviation and control limit values) 338 HS lala 24 21 2: 31 232 els ima 25835 29 54 26