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A statistical process control chart example. Samples of 25 parts from a metal punching process are...
*************[[[[[[[[[[[[[[Solve parts a,b and c using Poissons distribution as an approximation of Binomial distribution]]]]]]]]]]]]]]************* Samples of 20 parts from a metal punching process are selected every hour. Typically, 1% of the parts require rework. Let X denote the number of parts in the sample of 20 that require rework. A process problem is suspected if X exceeds its mean by more than 3 standard deviations. (a) If the percentage of parts that require rework remains at 1%, what is the...
. Samples of 20 products from a production line are selected every hour. Typically, 2% of the products require improvement. Let X denote the number of products in the sample of 25 that require improvement. A production problem is suspected if X exceeds its mean by more than 3 standard deviations. (a) If the percentage of products that require improvement remains at 2%, what is the probability that X exceeds its mean by more than 3 standard deviations? (b) If...
A factory manufactures 2000 metal parts per day. Samples of 20 parts are selected every hour. On average, 1% of the parts are faulty. Let X denote the number of parts in the sample of 20 that are faulty. What is the probability that X exceeds its mean by more than three standard deviations? O 0.132 O 0.001 0.182 0.0169
Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart for control. The samples and the number of defectives in each are shown in the following table: SAMPLE n NUMBER OF DEFECTIVE ITEMS IN THE SAMPLE 1 15 3 2 15 2 3 15 2 4 15 2 5 15 0 6 15 2 7 15 1 8 15 3 9 15 2 10 15 1 a. Determine the p−p−, Sp, UCL and LCL...
Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart for control. The samples and the number of defectives in each are shown in the following table: SAMPLE n NUMBER OF DEFECTIVE ITEMS IN THE SAMPLE 1 15 2 2 15 0 3 15 3 4 15 3 5 15 3 6 15 1 7 15 3 8 15 2 9 15 0 10 15 3 a. Determine the p−p−, Sp, UCL and LCL...
Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart for control. The samples and the number of defectives in each are shown in the following table: Sample n number of defective items in the sample 1 15 1 2 15 1 3 15 1 4 15 0 5 15 2 6 15 3 7 15 1 8 15 0 9 15 2 10 15 1 a. Determine the p, Sp, UCL and LCL...
Organisms are present in ballast water discharged from a ship according to a Poisson process with a concentration of 10 organisms/m (the article "Counting at Low Concentrations. The Statistical Challenges of Verifying Ballast Water Discharge Standards" considers using the Poisson process for this purpose). (a) What the probability that one cubic meter of discharge contains at least 5 organisma? (Round your answer to three decimal places) (b) What is the probability that the number of organisms in 1.5 m of...
Problem no.3 The thickness of a metal part is the quality characteristic that statistical process control is being applied to. Measurements are taken from 25 subgroups of subgroup size 5. The sum of the X-bar values 1.5735. The sum of the R-values .0231. Xbar/R Chart for x 0636 06396 Subgroup 10 15 20 25 001 0011 a.) Calculate the trial control limits and centerlines for the X-bar and R charts above b.) Calculate the revised control limits and centerlines for...
Organisms are present in ballast water discharged from a ship according to a Poisson process with a concentration of 10 organisms/m3 (the article "Counting at Low Concentrations: The Statistical Challenges of Verifying Ballast Water Discharge Standards"† considers using the Poisson process for this purpose). (a) What is the probability that one cubic meter of discharge contains at least 9 organisms? (Round your answer to three decimal places.) (b) What is the probability that the number of organisms in 1.5 m3...
Organisms are present in ballast water discharged from a ship according to a Poisson process with a concentration of 10 organisms/m3 (the article "Counting at Low Concentrations: The Statistical Challenges of Verifying Ballast Water Discharge Standards"† considers using the Poisson process for this purpose). (a) What is the probability that one cubic meter of discharge contains at least 9 organisms? (Round your answer to three decimal places.) (b) (THIS IS THE ONE I GOT WRONG) What is the probability that...