A sigma process with a 1.5 sigma shift in its mean has a process capability index of 1.2. Find the process performance index. a) 0.5 b) 0.7 c) 1.2 d) 3.6
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- Please do not give solution in image format thanku Canine Gourmet Super Breath dog treats are sold in boxes labeled with a net weight of 9 ounces (255 grams) per box. Each box contains 6 individual 1.5-ounce packets. To reduce the chances of shorting the customer, product design specifications call for the packet-filling process average to be set at 43.5 grams so that the average net weight per box of 6 packets will be 261 grams. Tolerances are set for the box to weigh 261±15 grams. The standard deviation for the packet-filling process is 1.01 grams. The target process capability ratio is 1.67. One day, the packet-filling process average weight drifts down to 43.0 grams. Is the packaging process capable? Is an adjustment needed? Since the process capability index, Cpk, is (____), the process is (_____) . (Enter your response rounded to three decimal places.) Since the process capability ratio, Cp, is (_____), the problem is that the process is (_____) . (Enter your…A process is in statistical control with = 202,5 y s = 2,0. Specifications are atLSL = 196 and USL = 206.a) Estimate the process capability with an appropriate process capability ratio.b) What is the potential capability of this process?c) Items that are produced below the lower specification limit must bescrapped, while items that are above the upper specification limit can bereworked. What proportion of the process output is scrap and whatproportion is rework?d) Because scrap is more expensive than rework, the process has been centered closer to the upper specification limit. If scrap is twice as expensive as rework, is the process mean at the best possible location? What value of the process target would you recommend?Design specifications require that a key dimension on a product measure 100 ± 10 units. A process being considered for producing this product has a standard deviation of four units. What can you say (quantitatively) regarding the process capability? Assume that the process is centered with respect to specifications. Note: Round your answer to 4 decimal places. Suppose the process average shifts to 92. Calculate the new process capability. Note: Round your answer to 4 decimal places. What is the probability of defective output after the process shift? Note: Use Excel's NORM.S.DIST function to find the correct probability. Round "z" values to 2 decimal places. Round your answer to 4 decimal places.
- A process has an estimate Sigma Capability of 3.8. What is the dpmo, assuming the process is shifted 1.5 sigma units from its target value?A certain process is under statistical control and has a mean value of μ = 130 and a standard deviation of σ = 8. The specifications for this process are USL = 150, LSL = 100.a. Calculate Cp and Cpk.b. Which of these indices is a better measure of process capability? Why?c. Assuming a normal distribution, what percent of the output can be expected to fall outside the specifications?Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: a) What is the value of x? = x= 156.76 mm (round your response to two decimal places). b) What is the value of R? R= mm (round your response to two decimal places). Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 Range R (mm) 4.2 4.4 4.3 4.8 4.3
- Sam’s Long Life 60-watt light bulbs are designed to have a life of 1,350 hours with tolerance of ± 340 hours. A recent representative sample from the process that makes these light bulbs revealed a mean of 1,290 hours, with a standard deviation of 94 hours. Compute a. Compute the process capability ratio and the process capability index, and comment on the overall capability of the process b. Explain to what extent the process for producing Sam’s Long Life 60-watt light bulbs would have to be improved to achieve 4-sigma quality. c. show detail workA metal fabricator produces connecting rods with an outer diameter that has a 1 ± .01–inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.002 inches with a standard deviation of .003 inch.a. Calculate the process capability index for this example.b. What does this figure tell you about the process?Using a weighted moving average with weights of 0.55, 0.35, and 0.15, for periods 3, 2, and 1 respectively, find the forecast for period 4. Period, X -2 -1 1 2 3 Select one: Output, Y 4 5 6 8 10 a. 9.38 b. 10.0 C. 8.25 d. 13.25 An assembly line currently produces 1,600 bronze valves using a 10-hour shift. If productivity is increased by 10%, it would then be Select one: a. 220 valves/hr b. 200 valves/hr c. 1,760 valves/hr d. 176 valves/hr
- For question 1 choose from the following: x bar-chart, c-chart, p-chart, or none of the about. 1. The process involving filling of a high value medicine into standard containers of 50 gms. 2. From a perspective of Statistical Process Control (SPC), a six-sigma process will have which of the following attributes? a) The USL and LSL will be separated by a distance of six sigma b) The process center will be aligned with the LSL c) The number of defects produced by the process will be 0.0018 parts per million d) All of the above 3. Which of the following statements depict the meaning of "total" in the term TQM? a) The total of all efforts put by the employees towards quality b) Total satisfaction of the customers about a company's products and services c) Ensuring every supplier follows quality practices in their work place d) Making quality happen everywhere in an organization by involving everyoneA manager wishes to build a 3-sigma range chart for a process. The sample size is five, the mean of sample means is 45.00, and the average range is 7.90. From Table S6.1, the appropriate value of D3 is 0, and D4 is 2.115. What are the UCL and LCL, respectively, for this range chart? (Do not round intermediate calculations. Round final answer to two decimal places.) OA. 12.05 and 0.00 OB. 10.02 and 5.79 O C. 16.71 and 0.00 O D. 68.70 and 21.30 OE. 52.90 and 37.10The overall average of a process you are attemptingto monitor at Feryal Erhun Enterprises is 50 units. The averagerange is 4 units. The sample size you are using is 11 = 5.a) What are the upper and lower control limits of the 3-sigmamean chart?b) What are the upper and lower control limits of the 3-sigmarange chart?