Assume that you apply the double sampling plan n1=200, c1=5, n2=300, c2=7 for the lots N=2000. LTPD=5% and AQL=2% A) Calculate the producer's risk. B) Calculate the ASN using AQL. C) Calculate the rejection probability after the second sample using AQL.
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- 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?Using 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 excelWhich of the following best illustrates the concept of sampling risk?(1) The documents related to the chosen sample may not be available to the auditorfor inspection.(2) An auditor may fail to recognize errors in the documents from the sample.(3) A randomly chosen sample may not be representative of the population as a wholefor the characteristic of interest.(4) An auditor may select audit procedures that are not appropriate to achieve thespecific objective.
- 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 shipmentIn an acceptance sampling plan developed for lotscontaining I ,000 units, tbe sample size n is 85. The percent defectiveof the incoming lots is 2%, and the probability of acceptanceis 0.64. What is the average outgoing quality?If all other factors specified in a sampling plan remain constant, changing the AROfrom 5% to 10% will cause the required sample size to(1) increase.(2) remain the same.(3) decrease.(4) become indeterminate.
- In an acceptance sampling plan developed for lotscontaining 1,000 units, the sample size n is 85. The percentdefective of the incoming lots is 2%, and the probability ofacceptance is 0.64. What is the average outgoing qualityAt 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?1. The “t” test for samples from a normal population must be used when_____________.A. The sample size is small.B. Standard deviation is unknown.C. Sample size is small and the standard deviation is unknown.D. Sample size is big and standard deviation is known
- For 100 consecutive days, a company making nutritional supplements has measured theamount of a protein the company puts into its protein bars. Each day, the company takesa sample of 6 protein bars. The average across all 600 bars was 31.232 grams. The standard deviation was 0.83291 gram. When constructing an X-bar chart, what would theupper control limit be?a. 30.2119b. 31.232c. 32.2521d. None of the aboveDistinguish between a sampling error and a nonsampling error.How can each be reduced?The following data represent samples that were taken on 10 separate days. Each day has a varying sample size and the number of defects for the items sampled is listed. We want to see if this process is consistent and in control. Day Sample Size Defects 1 100 8 2 120 4 3 190 10 4 190 7 5 240 20 6 245 8 7 105 4 8 165 6 9 245 27 10 255 37 Find the UCL. Find the LCL. Is the process in control? Why/why not?