Given the following list of machines, the standard deviation for their output, and specification half-width for the job that may be processed on that machine, using Co determine which machines are capable of performing the given jobs.LO3 Machine 001 002 003 004 005 Standard Deviation (cm) 0.02 0.04 0.10 0.05 0.01 Job Half-Width Specification (6 cm) 0.05 0.07 0.18 0.15 0.04
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- (3) The Elon Company manufactures parts for an aircraft company using three computerized numerical controlled (CNC) turning centers. The company has to decide which machines are capable of producing a specific part with design specifications of 0.0970 inch ± 0.015 inch. The machines have the following parameters: Machine 1 (x= 0.0995, o = 0.004); Machine 2 ( = 0.1002, o = 0.009); Machine 3 (x = 0.095, o = 0.005). Determine which machines (if any) can produce the products within the design specifications. ||FJ Corporation’s electronic chip production process yields with an average life of 1,800 hours and = 100 hours. The upper and lower specification limits are 2,400 hours and 1,600 hours respectively. Is this process capable of producing electronic chips to specification?Kathleen McFadden's restaurant in Boston has recorded the following data for eight recent customers: a) McFadden wants you to graph the eight points (x;, y1), i = I, J 2, ... 8. She has been concerned because customers have been waiting too long for their food, and this graph is intended to help her find possible causes of the problem.b) This is an example of what type of graph?
- The mean service time (x¯) of a hairdresser is 18 minutes with a standard deviation (σ) of 2 minutes. Upper specification limit (USL) is 22 minutes, whereas lower specification limit (LSL) is 15 minutes for this process. What is the process capability index (cpk) for this process? Is the process capable? Cpk=0.67, capable Cpk=1.5, capable Cpk=0.67, not capable Cpk=0.5, capable Cpk=0.5, not capableOutput from a process contains 0.02 defective unit. Defective units that go undetected into final assemblies cost $25 each to replace. An inspection process, which would detect and remove all defectives, can be established to test these units. However, the inspector, who can test 20 units per hour, is paid $8 per hour, including fringe benefits. Should an inspection station be established to test all units? Assume that the line will operate at the same rate (i.e., the current production rate) regardless of whether or not the inspection operation is added. a-1. Without the inspector, what is the current hourly cost of defects? a-2. Should an inspection station be established to test all units based on costs alone? multiple choice Yes No a-3. If the inspection operation is added, what would be the cost to inspect each unit? Note: Round your answer to 2 decimal places. b. What would be the benefit (or loss) from establishing the inspection process? Note: Round your answer…Other things remaining the same, and assuming that X is smaller than USL and larger than LSL, if the standard deviation (σ) of the process increases, process capability index (Cpk) of the process will: Stay the same Will always increase Will always decrease Will sometimes increase
- 9. Two machines are currently in use in a process at the Dennis Kira Mfg. Co. The standards for this process are LSL = .470" and USL = .476". Machine One is currently producing with mean = .474" and standard deviation .0003". Machine Two is currently producing with mean .4745" and standard deviation .0002". Which machine has the higher capability index? Machine One has an index of (round your response to two decimal places). (round your response to two decimal places). Machine Two has an index of Machine (1) (1) Two One has the higher capability index.Please solve very soon completely The pulp and paper factory is one of the longest industrial sectors in the world. Thus, international paper company wants to increase their output. Based on its product, the thickness of 500 sheet of papers is 2.027558055 inch. Without decreasing its quality according to scientific experiments they had done, they decided to use rounding off formula from 9 decimal places to 6 decimal places based on thickness of the paper. Discuss the above study in view of absolute and relative errors. If you are quality control manager of the factory, what is your BEST action towards production line with above decision. Justify your answer.Two machines are currently in use in a process at the Dennis Kira Mfg. Co. The standards for this process are LSL = 450" and USL= 454". Machine One is currently producing with mean = 451" and standard deviation .0004"," Machine Two is currently producing with mean .4515" and standard deviation .0003". Which machine has the higher capability index? Machine One has an index of 0.83 (round your response to two decimal places). Machine Two has an index of (round your response to two decimal places).
- Yelp Dog Food produces specialized dog foods in 1-pound packages. The amount of dog food in each package should be 1 pound, and Yelp has determined that the standard deviation of the machine filling these packages is half an ounce, and the confidence interval is 14.85% (z = .1872). In order to confirm that the machine is operating properly, Yelp takes 16 sample bags every hour and weighs them. The means of these 16 bags for an 8-hr shift is given below. 1 2 3 4 5 6 7 8 0.98 1.01 0.97 1.03 1.01 0.94 1.02 1.02 NARREND What would be the lower control limit? .9038 .9567 .9741 .9892Yelp Dog Food produces specialized dog foods in 1-pound packages. The amount of dog food in each package should be 1 pound, and Yelp has determined that the standard deviation of the machine filling these packages is half an ounce, and the confidence interval is 14.85% (z = .1872). In order to confirm that the machine is operating properly, Yelp takes 16 sample bags every hour and weighs them. The means of these 16 bags for an 8-hr shift is given below. 1 2 3 4 5 6 7 8 0.98 1.01 0.97 1.03 1.01 0.94 1.02 1.02 NARREND How many, if any, of the hours were out of control? 0 2 3 7Process Capability (Cpk and Cp) The operations manager of an insurance claimsprocessing department wants to determine the claims-processing capability. Claims usually take a minimum of four days to handle. The company has a commitment to handle all claims within 10 days. On average, claims are processed in eight days and processing has a standard deviation of one day.a. Compute Cp and Cpk for the claims-processing department. Based on these computations, should the claims department improve its process?b. Using the same data, recompute Cpk, but use an average claims-processing time of seven days instead of eight days.c. Using the original data, recompute Cpk, but use a standard deviation of 2/3 of a day. Which change made the most improvement—the change in mean in part b or the change in standard deviation? Can you explain the results?