K 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 on standardized math tests in each. elementary school yielded the following data School A B C D E No. of Test Errors 48 21 32 40 52 For the test errors, the c-chart with control limits that contain 99.73% of the random variation in test scores is UCL = errors (round your response to two decimal places). O
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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?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 on standardized math tests in each elementary school yielded the following data: School No. of Test Errors A 75 B 38 C 42 D 47 E 61 For the test errors, the c-chart with control limits that contain 99.73% of the random variation in test scores is: Part 2 UCLc = enter your response here errors (round your response to two decimal places). b) Has the process been in control? c) If the sample size were 20 instead, how would your limits and conclusions change? UCLp= ________(enter your response as a number between 0 and 1, rounded to three decimal places). LCLp= ________(enter your response as a number between 0 and 1, rounded to three decimal places).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 excel
- 7. 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 on standardized math tests in each elementary school yielded the following data: School No. of Test Errors A 48 B 21 C 32 D 40 E 52 For the test errors, the c-chart with control limits that contain 99.73% of the random variation in test scores is: _____ Part 2 UCLc= _______ (round your response to two decimal places). LCLc= _______ (round your response to two decimal places). What does the chart tell you? Has the new math program been effective?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 NoA Taguchi quality loss function (QLF)a. is used to define the tolerance range in the goalpost quality approach to setting quality standards.b. predicts decreasing quality-related costs as deviations from targeted quality increases.c. would show a doubling of costs when the deviation from standard is quadrupled.d. depicts the relationship between quality costs and the level of deviation from targeted qualityusing a quadratic cost function.
- A medical facility does MRIs for sports injuries. Occasionally a test yields inconclusive results andmust be repeated. Using the following sample data and n = 200, determine the upper and lowercontrol limits for the fraction of retests using two-sigma limits. Is the process in control?SAMPLE1 2 3 4 5 6 7 8 9 10 11 12 13Number of retests 1 2 2 0 2 1 2 0 2 7 3 2 1An inspector counted the number of defective monthly billing statements of a telephonecompany in each of 20 samples. Using the following information, construct a control chartthat will describe 99.74 percent of the chance variation in the process when the process is incontrol. Each sample contained 100 statements.Sample Number ofDefectivesSample Number ofDefectivesSample Number ofDefectivesSample Number ofDefectives1 7 6 11 11 8 16 102 10 7 10 12 12 17 83 12 8 18 13 9 18 124 4 9 13 14 10 19 105 9 10 10 15 16 20 21220Orlando Manufacturers has decided to use a c-Chart to monitor the number of defects per file cabinet produced by their manufacturing process. The c-Chart should be constructed with an alpha risk of 7%. The quality control manager randomly samples one file cabinet at 99 successively selected time periods and counts the number of defects in the file cabinet. Sample Defects1 112 83 74 145 56 117 48 69 13 Step 2 of 7: What is the Upper Control Limit? Round your answer to three decimal places.
- When a robot welder is functioning properly the cylinders it produces burst (on average) at 3400 psi, with known standard deviation 100 psi. Determine the 3-Sigma mean control chart limits. Test lot sample sizes are n=4 cylinders randomly selected from the production line. a. Centerline = ____ b. Upper Limit = ____ c. Lower Limit = ____ d. What is the probability that random variation will exceed the ± 3-sigma limits ____. (four decimal places with zero before the decimal)4. Organic Grains LLC uses statistical process control to ensure that its health-conscious, low-fat, multigrain sandwich loaves have the proper weight. Based on a previously stable and in-control process, the control limits of the x- and R-charts are: UCLx = 5.35, LCLx = 4.93; UCLR = 0.894, LCLR = 0. Over the past few days, they have taken five random samples of four loaves each and have found the following: Net Weight Sample Loaf # 1 Loaf # 2 Loaf # 3 Loaf # 4 1 4.9 5.2 5.1 5.0 2 5.3 5.1 5.2 5.3 3 4.9 5.2 4.9 5.2 4 5.5 5.5 5.3 5.5 5 5.3 5.2 5.3 5.0 Part 2 Based on the x-chart, is one or more samples beyond the control limits? ▼ No Yes .AccuSound Corporation manufactures printed circuits for stereo amplifiers. A common product defect is a “drift” caused by failure to maintain precise heat levels during the production process. Rejects from the 100 percent testing program can be reworked to acceptable levels if the defect is drift. However, in a recent analysis of customer complaints, Marie Allen, the assistant controller, and the quality control engineer determined that normal rework does not bring the circuits up to standard. Sampling showed that about half of the reworked circuits will fail after extended amplifier operation. The incidence of failure in the reworked circuits is projected to be about 10 percent over five years. Unfortunately, there is no way to determine which reworked circuits will fail, because testing will not detect the problem. The rework process could be changed to correct the problem, but the cost-benefit analysis for the suggested change indicates that it is not economically feasible.…