the upper specification limit USL equals 60 minutes and the lower specification limit equals 10 minutes after taking a sample of process lead times you find the average (x) process lead time equals 30 minutes with a standard deviation of 5 minutes. What is the cpk of this process? 2 1.33 1 0.66
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- Please do not give solution in image format thanku Canine Gourmet Super Breath dog treats are sold in boxes labeled with a net weight of 9 ounces (255 grams) per box. Each box contains 6 individual 1.5-ounce packets. To reduce the chances of shorting the customer, product design specifications call for the packet-filling process average to be set at 43.5 grams so that the average net weight per box of 6 packets will be 261 grams. Tolerances are set for the box to weigh 261±15 grams. The standard deviation for the packet-filling process is 1.01 grams. The target process capability ratio is 1.67. One day, the packet-filling process average weight drifts down to 43.0 grams. Is the packaging process capable? Is an adjustment needed? Since the process capability index, Cpk, is (____), the process is (_____) . (Enter your response rounded to three decimal places.) Since the process capability ratio, Cp, is (_____), the problem is that the process is (_____) . (Enter your…The overall average of a process you are attemptingto monitor at Feryal Erhun Enterprises is 50 units. The averagerange is 4 units. The sample size you are using is 11 = 5.a) What are the upper and lower control limits of the 3-sigmamean chart?b) What are the upper and lower control limits of the 3-sigmarange chart?You work for Raider Data Systems where thousands of insurance records are entered by clerks each day for a variety of client firms. You are in charge of setting control limits to include 99.73% of the random variation in the data entry process when it is in control. Samples that you collected from 20 employees are shown below. You carefully examine 100 records entered by each employee and count the number of errors entered by each clerk. You also compute the proportion defective in each sample. Using a p-chart, what are the upper and lower control limits? Sample Errors Made Proportion Defective 1 4 0.04 2 5 0.05 3 6 0.06 4 3 0.03 5 8 0.08
- Design specifications require that a key dimension on a product measure 100 ± 10 units. A process being considered for producing this product has a standard deviation of four units. What can you say (quantitatively) regarding the process capability? Assume that the process is centered with respect to specifications. Note: Round your answer to 4 decimal places. Suppose the process average shifts to 92. Calculate the new process capability. Note: Round your answer to 4 decimal places. What is the probability of defective output after the process shift? Note: Use Excel's NORM.S.DIST function to find the correct probability. Round "z" values to 2 decimal places. Round your answer to 4 decimal places.The weights of boxes of Oat Flakes within a large production lot are sampled each hour. Managers want to set control limits that include 99.73% of the sample means, and given is the population (process) standard deviation, which is 1.13. You are in charge of randomly selecting four boxes each hour, for three hours. The data you collected is located in the table below:Using an Xbar Chart, what are the upper and lower control limits? Sample Avg. of 4 boxes 1 16.8 2 17.1 3 17.2At Quick Car Wash, the wash process is advertised to take less than 7 minutes. Consequently, management has set a target average of 390 seconds for the wash process. Suppose the average range for a sample of 9 cars is 8 seconds. Use the accompanying table to establish control limits for sample means and ranges for the car wash process. LOADING... Click the icon to view the table of factors for calculating three-sigma limits for the x overbarx-chart and R-chart. Factors for calculating three-sigma limits for the x overbarx-chart and R-chart Size of Sample (n) Factor for UCL and LCL for x overbarx-chart (Upper A 2A2) Factor for LCL for R-Chart (Upper D 3D3) Factor for UCL for R-Chart (Upper D 4D4) 2 1.8801.880 00 3.2673.267 3 1.0231.023 00 2.5752.575 4 0.7290.729 00 2.2822.282 5 0.5770.577 00 2.1152.115 6 0.4830.483 00 2.0042.004 7 0.4190.419 0.0760.076 1.9241.924 8 0.3730.373…
- At Quick Car Wash, the wash process is advertised to take less than 7 minutes. Consequently, management has set a target average of 390 seconds for the wash process. Suppose the average range for a sample of 9 cars is 8 seconds. Use the accompanying table to establish control limits for sample means and ranges for the car wash process. LOADING... Click the icon to view the table of factors for calculating three-sigma limits for the x overbarx-chart and R-chart. Factors for calculating three-sigma limits for the x overbarx-chart and R-chart Size of Sample (n) Factor for UCL and LCL for x overbarx-chart (Upper A 2A2) Factor for LCL for R-Chart (Upper D 3D3) Factor for UCL for R-Chart (Upper D 4D4) 2 1.8801.880 00 3.2673.267 3 1.0231.023 00 2.5752.575 4 0.7290.729 00 2.2822.282 5 0.5770.577 00 2.1152.115 6 0.4830.483 00 2.0042.004 7 0.4190.419 0.0760.076 1.9241.924 8 0.3730.373…Specifications for a part for a 3-D printer state that the part should weigh between 24 and25 ounces. The process that produces the parts has a mean of 24.5 ounces and a standard deviation of .2 ounce. The distribution of output is normal. What percentage of parts will not meet the weight specs? Within what values will 95.44 percent of the sample means of this process fall if samples of n = 16 are taken and the process is in control (random)? Using the control limits from part b, would the following sample means be in control? 24.52, 24.53, 24.44, 24.51, 24.41, 24.39 An automatic filling machine is used to fill 1-liter bottles of cola. The machine’s output is approxi- mately normal with a mean of 1.0 liter and a standard deviation of .01 liter. Output is monitored using means of samples of 25 observations. Determine upper and lower control limits that will include roughly 97 percent of the sample means when the process is in control. Given the following sample means—1.005,…The specification for a plastic liner for concrete highway projects calls for a thickness of 6.0 mm ± 0.1 mm. The standard deviation of the process is estimated to be 0.02 mm. What are the upper and lower specification limits for this product? The process is known to operate at a mean thickness of 6.03 mm. What is the Cp and Cpk for this process? About what percent of all units of this liner will meet specifications?
- Based on the 6-Sigma methodology, what is the corresponding DPMO when the Sigma Quality Level is 4.5 and process mean shifts by 10? 1.96 DPMO 3.4 DPMO 32 DPMO 233 DPMO 66800 DPMOAuto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: a) What is the value of x? = x= 156.76 mm (round your response to two decimal places). b) What is the value of R? R= mm (round your response to two decimal places). Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 Range R (mm) 4.2 4.4 4.3 4.8 4.3The Canine Gourmet Company produces delicious dog treats for canines with discriminating tastes. Management wants the box-filling line to be set so that the process average weight per packet is 49 grams. To make sure that the process is in control, an inspector at the end of the filling line periodically selects a random box of 7 packets and weighs each packet. When the process is in control, the range in the weight of each sample has averaged 7 grams. The UCLR equals .--------- grams and the LCLR equals --------- grams. (Enter your response rounded to two decimal places.) More Information Factors for calculating three-sigma limits for the x-chart and R-chart Size of Sample (n) Factor for UCL and LCL for x-chart (A2) Factor for LCL for R-Chart (D3) Factor for UCL for R-Chart (D4) 2 1.880 0 3.267 3 1.023 0 2.575 4 0.729 0 2.282 5 0.577 0 2.115 6 0.483 0 2.004 7 0.419 0.076 1.924…