QUESTION 3 (25 marks) a) As a Quality Engineer in a fish cracker manufacturing factory in Kuala Terengganu, you are tasked to evaluate samples of the plastic packs from a new plastic packing machine. You are using a single sampling plan of lot size of one thousand five hundred packs, the sample size of one hundred and ten packs, and the acceptance number of three. i) Construct the operating characteristic curve using seven points (10) ii) With reference to the sampling plan obtained in part Q3 (a)(i) above, construct the average outgoing quality curve and determine the average outgoing quality (7) limit for this sampling plan. b) In this fish cracker manufacturing facility, a new type of product packs consists of individual weight of a mass-produced fish cracker packs that is normally distributed with mean, u = 0.2508 kg and standard deviation, o = 0.0005 kg. The specifications for the individual packs are 0.2500 + 0.0015 kg. i) Determine the percentage of individual fish cracker packs produced that conform to specifications. (4) ii) Assume that we can re-center the manufacturing process, by adjusting the packing machine, so that the process mean is exactly equal to the nominal value of 0.2500 kg. Determine percentage of individual fish cracker packs produced that conform to specifications after re-centering the process. (4) QUESTION 3 (25 marks) a) As a Quality Engineer in a fish cracker manufacturing factory in Kuala Terengganu, you are tasked to evaluate samples of the plastic packs from a new plastic packing machine. You are using a single sampling plan of lot size of one thousand five hundred packs, the sample size of one hundred and ten packs, and the acceptance number of three. i) Construct the operating characteristic curve using seven points (10) ii) With reference to the sampling plan obtained in part Q3 (a)(i) above, construct the average outgoing quality curve and determine the average outgoing quality (7) limit for this sampling plan. b) In this fish cracker manufacturing facility, a new type of product packs consists of individual weight of a mass-produced fish cracker packs that is normally distributed with mean, u = 0.2508 kg and standard deviation, o = 0.0005 kg. The specifications for the individual packs are 0.2500 + 0.0015 kg. i) Determine the percentage of individual fish cracker packs produced that conform to specifications. (4) ii) Assume that we can re-center the manufacturing process, by adjusting the packing machine, so that the process mean is exactly equal to the nominal value of 0.2500 kg. Determine percentage of individual fish cracker packs produced that conform to specifications after re-centering the process. (4)