A manufacture produces 16 oz bread loaves that must measure within the thespecification 16 ±0.860z. If the manufacture sets its goal to at least attain 3.2- qualityrating, what is the maximum process standard deviation it will allow itself? (EnterONLY numerical values, and round your answer to THREE decimal places)

Solution UCL = 16+0.86 = 16.86 LCL = 16-0.86 = 15.14 For 3.2 quality rating use 3 sigma quality…

Answered: A manufacture produces 16 oz bread…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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. For a process quality characteristic, the specification limits are 0.4037 +/- 0.0013 (that is from 0.4024 to 0.4050). The following data gives the data for 14 measurement data sets, each data set is a subgroup of 5 measurement. The value is recorded in the units of 0.0001 (that is, the specification limit will be considered 24 to 50) Based on the following data, compute Cp,Cpk,Pp and Ppk.(Use MINITAB is ok) and determine if the capability of the process. Subgroup# 1 2 3 4 5 Subgroup# 1 2 3 4 5 1 36 35 34 33 32 8 34 38 35 34 38 2 31 31 34 32 30 9 36 35 37 34 33 3 30 30 32 30 32 10 30 37 33 34 35 4 32 33 33 32 35 11 28 31 33 33 33 5 32 34 37 37 35 12 33 30 34 33 35 6 32 32 31 33 33 13 35 36 29 27 32 7 33 33 36 32 31 14 33 35 35 39 3
Suppose that a processoutput is normally distributed with a mean of 30.0 and a variance of 1.44. If the specifications are 30.0 /- 3.25, then compute process capability indices. Is the process capable of meeting specifications?
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.
Auto 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? Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 R = 4.40 mm (round your response to two decimal places). c) What are the UCL and LCL using 3-sigma? Upper Control Limit (UCL) = mm (round your response to two decimal places). Range R (mm) 4.2 4.4 4.3 4.8 4.3 Ç
Auto 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 4.3
A process is in statistical control with = 202,5 y s = 2,0. Specifications are atLSL = 196 and USL = 206.a) Estimate the process capability with an appropriate process capability ratio.b) What is the potential capability of this process?c) Items that are produced below the lower specification limit must bescrapped, while items that are above the upper specification limit can bereworked. What proportion of the process output is scrap and whatproportion is rework?d) Because scrap is more expensive than rework, the process has been centered closer to the upper specification limit. If scrap is twice as expensive as rework, is the process mean at the best possible location? What value of the process target would you recommend?
The output of a certain integrated-circuit productionline is checked daily by inspecting a sample of 100 units.Over a long period of time, the process has maintaineda yield of 80 percent, that is, a proportion defective of 20 percent, and the variation of the proportion defec-tive from day to day is measured by a standard devi-ation of 0.04. If on a certain day the sample contains 38 defectives, find the mean of the posterior distribu-tion of as an estimate of that day’s proportion defec-tive. Assume that the prior distribution of Θ is a beta distribution.
Meena Chavan Corp.'s computer chip productionprocess yields DRAM chips with an average life of 1,800 hoursand cr = I 00 hours. The tolerance upper and lower specificationlimits are 2,400 hours and 1,600 hours, respectively. Is this processcapable of producing DRAM chips to specification?
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A manufacturer is selling pharmaceuticals that have a weight specification 199.8 to 200.2 mg, with a target value of 200 mg. Before sending its next shipment, the company collects a large sample of product and determines the mean weight of the sample is 199.89 mg, with a standard deviation of 0.035 mg. The process capability index for the current process is ____. Round to three decimal places.
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)
A company that makes handheld computers is trying to improve one of its poorer selling products. They conducted some customer surveys and found that customers prefer the products to weigh between 10 and 14 ounces. At present, the mean of the process is 12 ounces and the standard deviation of the process is .4 ounces. They want to ensure that the production process will meet customer expectations; that is, the process capability (Cp) will be greater than or equal to 1.00. a. What is the Cp of the current production process?

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