This exercise contains only parts a and b. a) For the given data, the x = hours (round your response to three decimal places). For the given data, mean range = hours (round your response to two decimal places). With z=3, the control limits for the mean chart are:
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- West Battery Corp. has recently been receiving complaints from retailers that its 9-volt batteries are not lasting as long as other name brands. James West, head of the TQM program at West's Austin plant, believes there is no problem because his batteries have had an average life of 60hours, about 10% longer than competitors' models. To raise the lifetime above this level would require a new level of technology not available to West. Nevertheless, he is concerned enough to set up hourly assembly line checks. Previously, after ensuring that the process was running properly, West took samples of 5 9-volt batteries for 25 test to establish the standards for control chart limits. Those 25 tests are shown in the following table: Sample Data Sample Data Hour Sample Taken 1 2 3 4…West Battery Corp. has recently been receiving complaints from retailers that its 9-volt batteries are not lasting as long as other name brands. James West, head of the TQM program at West's Austin plant, believes there is no problem because his batteries have had an average life of 60 hours, about 10% longer than competitors' models. To raise the lifetime above this level would require a new level of technology not available to West. Nevertheless, he is concerned enough to set up hourly assembly line checks. Previously, after ensuring that the process was running properly, West took samples of 5 9-volt batteries for 25 test to establish the standards for control chart limits. Those 25 tests are shown in the following table: Sample Data Sample Data Hour Hour Sample Taken 1 Sample Taken 1 2 4 5 R 2 3 4 R 1 60 61 60 59 67 61.4 8 14 62 69 51 62 56 60.0 18 55 57 70 56 46 56.8 24 15 67 53 63 69 70 64.4 17 60 45 58 49 57 53.8 15 16 72 58 51 44 64 57.8 28 66 81 61 51 60 63.8 30 17 49 49 58 68…The 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?
- A bottle-filling process has a lower specification limit of 0.99 liter and an upperspecification limit of 1.01 liters. The standard deviation is 0.005 liter and the mean is 1 liter.What is the process capability index for the bottle-filling process?Refer to Table S6.1-Factors for Computing Control Chart Limits (3 sigma) for this problem. Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine at Panos Kouvelis Lifelong Lawn Ltd. The results were: Overall mean = 54.75 lb.; Average range R = 1.54 lb. a) For the given sample size, the control limits for 3-sigma x chart are: Upper Control Limit (UCL) = lb. (round your response to three decimal places).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 No
- Ettlie Engineering has a new catalyst injection system for your countertop production line. Your process engineering departmenthas conducted experiments and determined that the mean is 8.01 grams with a standard deviation of .03. Your specificationsare: m = 8.0 and s = .04, which means an upper specification limit of 8.12 [ = 8.0 + 3(.04)] and a lower specification limit of7.88 [= 8.0 - 3(.04)].What is the Cpk performance of the injection system?What are the key mistake proofing techniques in Six Sigma DMAIC phases?Linda Boardman, Inc., an equipment manufacturer in Boston, has submitted a sample cutoff valve to improve your manufacturing process. Your process engineering department has conducted experiments and found that the valve has a mean (u) of 12.00 and a standard deviation (a) of 0.04. Your desired performance is μ = 12.00 +3 standard deviations, where a = 0.045. For the given information, the process capability index (Cpk) - (round your response to three decimal places).
- Management at Webster Chemical Company is concerned as to whether caulking tubes are being properly capped. If a significant proportion of the tubes are not being sealed, Webster is placing its customers in a messy situation. Tubes are packaged in large boxes of 135. Several boxes are inspected, and the following numbers of leaking tubes are found: View an example Sample 1 2 3 Get more help. 4 Tubes 7 7 8 5 1 5 6 7 Calculate p-chart three-sigma control limits to assess whether the capping process is in statistical control. The UCL, equals 1 Sample 8 8 9 10 11 12 13 14 Tubes 7 2 4 8 6 9 MacBook Pro 3 Sample 15 16 17 18 19 20 Total Tubes 8 3 3 5 and the LCL equals (Enter your responses rounded to three decimal places. If your answer for LCL, is negative, enter this value as 0.) 3 6 104 Clear all Check answer ORefer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) LOADING... for this problem. Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine at Panos Kouvelis Lifelong Lawn Ltd. The results were: Overall mean = 60.75 lb.; Average range R = 1.64 lb. a) For the given sample size, the control limits for 3-sigma x chart are: Upper Control Limit (UCLx) = nothing lb. (round your response to three decimal places).A process filling small bottles with baby formula has a target of 3.1 ounces, plus or minus 0.255 ounce. Two hundred bottles from the process were sampled. The results showed the average amount of formula placed in the bottles to be 3.050 ounces. The standard deviation of the amounts was 0.068 ounce. Determine the value of Upper C Subscript pk. Roughly what proportion of bottles meet the specifications? The process capability index is (round your response to three decimal places).