A quality-control engineer want to etimate the mean fillweight of boxe that have been filled with cereal by a certain machine on a certain day. He draw a imple random ample of 100 boxe from the population of boxe that havebeen filled by that machine on that day. He compute the ample mean fill weight to beX = 12. 05 oz, and the ample tandard deviation to be = 0. 1 oz. •Since the population mean will not be exactly equal to the ample mean of 12. 05, it ibet to contruct a confidenceinterval around 12. 05 that i likely to cover the populationmean