Concept explainers
a
Interpretation:
An analytical expression for the OC curve as a function of p.
Concept Introduction:
Average Outgoing Quality curve is the curve that represents the quality of both the incoming as well as the outgoing material, assuming the hundred percnt inspections of rejected lots and also the inspected defective materials are either removed, revised or exchanged.
N = lot size
n =
b
Interpretation:
The value of p at which the AOQ curve is maximum
Concept Introduction:
Average Outgoing Quality curve is the curve that represents the quality of both the incoming as well as the outgoing material, assuming the hundred percnt inspections of rejected lots and also the inspected defective materials are either removed, revised or exchanged.
N = lot size
n = sample size
c
Interpretation:
The maximum value of the AOQ,
Concept Introduction:
Average Outgoing Quality curve is the curve that represents the quality of both the incoming as well as the outgoing material, assuming the hundred percnt inspections of rejected lots and also the inspected defective materials are either removed, revised or exchanged.
N = lot size
n = sample size
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Production and Operations Analysis, Seventh Edition
- 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)arrow_forwardRefer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Twelve samples, each containing five parts, were taken from a process that produces steel rods at Emmanual Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were: Sample Mean (in.) Range (in.) Sample Sample Sample Mean (in.) Range (in.) 1 9.404 0.044 7 9.403 0.021 2 9.402 0.051 8 9.405 0.058 3 9.393 0.042 9.395 0.039 4 9.404 0.037 10 9.401 0.038 9.399 0.048 11 9.401 0.054 9.397 0.053 12 9.404 0.061 For the given data, the x = inches (round your response to four decimal places). Based on the sampling done, the control limits for 3-sigma x chart are: Upper Control Limit (UCL;) = inches (round your response to four decimal places). Lower Control Limit (LCL;) = inches (round your response to four decimal places).arrow_forwardA component part for a motorcycle is manufactured by an investment casting process. The air vent opening on this casting is an important functional parameter of the part. The results for five samples are given in the table. The values given have been coded using the last two digits of the dimension Sample Air vent opening diameter (in mm 1 58 61 54 60 2 61 55 58 62 3 66 60 59 55 4 53 57 58 64 5 65 63 79 61 The sample data for a subsequent week had the values: 64, 69, 62, and 78. What conclusion can be reached about the state of the process?arrow_forward
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- 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 5 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean (mm) Range R (mm) 158 4.3 151.2 4.4 155.7 4.2 153.5 4.8 156.6 4.5 What is the UCL using 3-sigma?(round your response to two decimal places). 1. 2. 4.arrow_forwardWhat is the meaning of x ̅ ~ N (50, 2)? 1. The Sampling distribution is distributed normally with a mean of 50 and a standard deviation of 2 2. Sampling distribution of x is distributed normally with a mean of 2 and a standard deviation of 50 3. x is normally distributed with a mean of 50 and a standard deviation of 2 4. x-bar is normally distributed with a mean of 2 and a standard deviation of 50arrow_forwardSampling error versus non-sampling error; plus give an example of eacharrow_forward
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