For the given information, the process capability index (Cpk) = (round your response to three decimal places).
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- C-Spec, Incorporated is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 4 ± 0.003 inch. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches with a standard deviation of 0.002 inch. Calculate the capability index ( Cpk��� ) for this machine. Note: Round your answer to 3 decimal places. Should C-Spec use this machine to produce this part? multiple choice Yes NoThe quality assurance manager is assessing the capability of a process that puts pressurized grease in an aerosol can. The design specifications call for an average of 60 pounds per square inch (psi) of pressure in each can with an upper specification limit of 65 psi and a lower specification limit of 55 psi. A sample is taken from production and it is found that the cans average 61 psi with a standard deviation of 2 psi. What is the capability of the process? What is the probability of producing a defect?In the past, Alpha Corporation has not performed incoming quality control inspections but has taken the word of its vendors. However, Alpha has been having some unsatisfactory experience recently with the quality of purchased items and wants to set up sampling plans for the receiving department to use. For a particular component, X, Alpha has a lot of tolerance percentage defective of 10 percent. Zenon Corporation, from which Alpha purchases this component, has an acceptable quality level in its production facility of 3 percent for component X. Alpha hasa consumer’s risk of 10 percent and Zenon has a producer’s risk of 5 percent.a. When a shipment of product X is received from Zenon Corporation, what sample size should the receiving department test?b. What is the allowable number of defects in order to accept the shipment?
- A process filling small bottles with baby formula has a target of 3ounces ± 0.150 ounce. Two hundred bottles from the process were sampled. The results showed the average amount of formula placed in the bottles to be 3.042 ounces. The standard deviation of the amounts was 0.034 ounce. Determine the value of Cpk. Roughly what proportion of bottles meet the specifications? The process capability index (Cpk) is ?? enter your response here (round your response to three decimal places).▼ Slightly more than 80 , 99.99, 99.73, 9095.45 ?? %of the bottles meet the specifications. Which of the number above is slightly more than?BlueMoon Bottlers has a bottle-filling process with a mean value of 64 ounces and a standard deviation of 8 ounces. Suppose the upper and lower specification limits are 71 and 57 ounces, respectively. What is the process capability index of this process? (Note: You MUST show every single step and detailed derivation for full credit)In the past, Alpha Corporation has not performed incoming quality control inspections but has taken the word of its vendors. However, Alpha has been having some unsatisfactory experience recently with the quality of purchased items and wants to set up sampling plans for the receiving department to use. For a particular component, X, Alpha has a lot tolerance percentage defective of 10 percent. Zenon Corporation, from which Alpha purchases this component, has an acceptable quality level in its production facility of 3 percent for component X. Alpha has a consumer's risk of 10 percent and Zenon has a producer's risk of 5 percent. When a shipment of Product X is received from Zenon Corporation, what sample size should the receiving department test? Use Exhibit 10.16. Note: if the exact value of the computed LTPD ÷ AOQ ratio does not appear in Exhibit 10.16, use the next higher ratio. Note: Round up your answer to the next whole number. What is the allowable number of defects in…
- The school board is trying to evaluate a new math program introduced to second-graders in five elementary schools across the county this year. A sample of the student scores onstandardized math tests in each elementary school yielded the following data: Construct a c-chart for test errors, and set the control limits to con tain 99 .73% of the random variation in test scores. What does the chart tell you? Has the new math program been effective?Studies on a machine that molds plastic water pipe indicate that when it is injecting1-inch diameter pipe, the process standard deviation is 0.05 inches. The one-inchpipe has a specification of 1-inch plus or minus 0.10 inch. What is the processcapability index (Cp) if the long-run process mean is 1 inch?6. The defect rate for your product has historically been about 4.50%. For a sample size of 500, the upper and lower 3-sigma control chart limits are: Part 2 UCLp = _______ (enter your response as a number between 0 and 1, rounded to four decimal places). The Standard deviation of defect rate of product is given __________. The Upper and Lower 3-sigma control charts limits are: UCLp ________ LCLp ________
- Taguchi Loss Function Panguitch Company manufactures a component for tablet computers. Weight and durability of the component are the two most important quality characteristics for the tablet manufacturers. With respect to the weight dimension, the component has a target value of 100 grams. Specification limits are 100 grams, plus or minus five grams. Products produced at the lower specification limit of 95 grams lose $20. A sample of five units produced the following weight measures: Unit No. Measured Weight 1 100 2 105 3 110 4 90 5 85 During the first quarter, 100,000 units were produced. Required: 1. Calculate the loss for each unit. If required, round your answers to the nearest cent.$_______ Per Unit Calculate the average loss for the sample of five.$______ 2. Using the average loss, calculate the hidden quality costs for the first quarter.$_________Please answer this question What is the acceptable standard deviation range for running of quality controls?A new process is started, and the sum of the sample standard deviations for 25 subgroups of size 4 is 750. If the specifications are 700 +_ 80, what is the process capability index? What action would you recommend?