The higher the acceptable risk, the smaller the sample size. True False
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- At Gleditsia Triacanthos Company, a certain manufactured part is deemed acceptable if its length is between 12.45 to 12.55 inches. The process is normally distributed with an average of 12.49 inches and a standard deviation of 0.014 inches. a) is the process capable of meeting specifications? b) Does the process meet specifications?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 NoUsing samples of 200 credit card statements, an auditor found the following: Sample 1 2 3 4 Number with errors 4 2 5 9 a. Determine the fraction defective in each sample. b. If the true fraction defective for this process is unknown, what is your estimate of it? c. What is your estimate of the mean and standard deviation of the sampling distribution of fractions defective for samples of this size? d. What control limits would give an alpha risk of .03 for this process? Page 457 e. What alpha risk would control limits of .047 and .003 provide? f. Using control limits of .047 and .003, is the process in control? g. Suppose that the long-term fraction defective of the process is known to be 2 percent. What are the values of the mean and standard deviation of the sampling distribution? h. Construct a control chart for the process, assuming a fraction defective of 2 percent, using two-sigma control limits. Is the process in control? Can you show me the steps and formulas using excel
- Using samples of 200 credit card statements, an auditor found the following:Sample 1 2 3 4Number with errors 4 2 5 9a. Determine the fraction defective in each sample.b. If the true fraction defective for this process is unknown, what is your estimate of it?c. What is your estimate of the mean and standard deviation of the sampling distribution of fractions defective for samples of this size?d. What control limits would give an alpha risk of .03 for this process?e. What alpha risk would control limits of .047 and .003 provide?f. Using control limits of .047 and .003, is the process in control?g. Suppose that the long-term fraction defective of the process is known to be 2 percent. What arethe values of the mean and standard deviation of the sampling distribution?h. Construct a control chart for the process, assuming a fraction defective of 2 percent, using twosigma control limits. Is the process in control?At Gleditsia Triacanthos Company, a certain manufactured part is deemed acceptable if its lengthis between 12.45 to 12.55 inches. The process is normally distributed with an average of 12.49inches and a standard deviation of 0.014 inches. A) Is the process capable of meeting specifications? B) Does the process meet specifications?C-Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 4 ± .003 inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches witha standard deviation of .002 inch. (Answer in Appendix D)a. Calculate the Cpk for this machine.b. Should C-Spec use this machine to produce this part? Why?
- 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?C-Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 5 ± 0.006 inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 5.001 inches with a standard deviation of 0.005 inch. Calculate the Cpk for this machine. (Round your answer to 3 decimal places.)A company employs the following sampling plan: It draws a sample of 10 percentof the lot being inspected. If 1 percent or less of the sample is defective, the lot isaccepted. Otherwise the lot is rejected.b. If a lot contains 1,000 items of which 20 are defective, what is the probabilitythat the lot is accepted?
- 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)An acceptance sampling plan is designed with n = 50 and c = 3. A random sample is collected from a shipment and assessed per this plan. Your inspector finds three defective items in the sample. What action should you take regarding this shipment? A. Accept the sample but reject the shipment B. Reject the entire shipment C. Reject the sample but accept the shipment D. Accept both the sample and shipmentRepresentatives of the Patriot Insurance Company take medical information over the telephone from prospective policy applicants prior to a visit to the applicant’s place of residence by a registered nurse who takes vital sign measurements. When the telephone interview has incorrect or incomplete information, the entire process of approving the application is unnecessarily delayed and has the potential of causing loss of business. The following data were collected to see how many applications contain errors. Each sample has 200 randomlyselected applications. Sample Defects Sample Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 20 18 29 12 14 11 30 25 27 16 25 18 25 16 20 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 15 40 35 21 24 9 20 17 28 10 17 22 14 19 20 a. What are the upper and lower control limits of a p-chart for the number of defective applications? Use z = 3.b. Is the process in statistical control?