Principles Of Operations Management
11th Edition
ISBN: 9780135173930
Author: RENDER, Barry, HEIZER, Jay, Munson, Chuck
Publisher: Pearson,
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Chapter 6.S, Problem 52P
Summary Introduction
To determine: Average Outgoing Quality (AOQ).
Introduction: AOQ is the average quality of outgoing lots, which would be considered as the function of fraction defective. Both rejected and accepted lots would be included in outgoing lots.
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2.
x and R charts with n = 4 are used to monitor a normally distributed
quality characteristic. The control chart parameters are
x Chart
R Chart
UCL = 815
UCL = 46.98
%3D
Center line = 800
Center line = 20.59
LCL = 785
LCL = 0
Both charts exhibit control. What is the probability that a shift in the process mean to
790 will be detected on the first sample following the shift? Please show all your
work for full credit.
Five data entry operators work at the data process-ing department of the Birmingham Bank. Each day for 30 days,
the number of defective records in a sample of 250 records typedby these operators has been noted, as follows:
a) Establish 3s upper and lower control limits.b) Why can the lower control limit not be a negative number?
c) The industry standards for the upper and lower control lim-its are 0.10 and 0.01, respectively. What does this imply about
Birmingham Bank’s own standards?
A metal fabricator produces connecting rods with an outer diameter that has a 1 ± 0.04 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.003 inches with a standard deviation of 0.020 inch. Calculate the process capability index.
Chapter 6 Solutions
Principles Of Operations Management
Ch. 6.S - Prob. 1DQCh. 6.S - Define in statistical control.Ch. 6.S - Prob. 3DQCh. 6.S - Prob. 4DQCh. 6.S - Prob. 5DQCh. 6.S - Prob. 6DQCh. 6.S - Prob. 7DQCh. 6.S - Prob. 8DQCh. 6.S - Prob. 9DQCh. 6.S - Prob. 10DQ
Ch. 6.S - Prob. 11DQCh. 6.S - Prob. 12DQCh. 6.S - Prob. 13DQCh. 6.S - Prob. 14DQCh. 6.S - Prob. 15DQCh. 6.S - Prob. 16DQCh. 6.S - Prob. 17DQCh. 6.S - Prob. 18DQCh. 6.S - Prob. 19DQCh. 6.S - Prob. 1PCh. 6.S - Prob. 2PCh. 6.S - Prob. 3PCh. 6.S - Prob. 4PCh. 6.S - Prob. 5PCh. 6.S - Prob. 6PCh. 6.S - Prob. 7PCh. 6.S - Prob. 8PCh. 6.S - Prob. 9PCh. 6.S - Prob. 10PCh. 6.S - Prob. 11PCh. 6.S - Prob. 12PCh. 6.S - Prob. 13PCh. 6.S - Prob. 14PCh. 6.S - Prob. 15PCh. 6.S - Prob. 16PCh. 6.S - Prob. 17PCh. 6.S - Prob. 18PCh. 6.S - Prob. 19PCh. 6.S - Prob. 20PCh. 6.S - Prob. 21PCh. 6.S - Prob. 22PCh. 6.S - Prob. 23PCh. 6.S - Prob. 24PCh. 6.S - Prob. 25PCh. 6.S - Prob. 28PCh. 6.S - Prob. 29PCh. 6.S - Prob. 30PCh. 6.S - Prob. 32PCh. 6.S - Prob. 33PCh. 6.S - Prob. 34PCh. 6.S - Prob. 35PCh. 6.S - Prob. 36PCh. 6.S - Prob. 37PCh. 6.S - Prob. 39PCh. 6.S - Prob. 40PCh. 6.S - Prob. 41PCh. 6.S - Prob. 42PCh. 6.S - Prob. 43PCh. 6.S - Prob. 44PCh. 6.S - Prob. 45PCh. 6.S - Prob. 46PCh. 6.S - Prob. 48PCh. 6.S - Prob. 49PCh. 6.S - Prob. 50PCh. 6.S - Prob. 51PCh. 6.S - Prob. 52PCh. 6.S - Prob. 53PCh. 6.S - Prob. 54PCh. 6.S - Prob. 55PCh. 6.S - Prob. 1CSCh. 6.S - Prob. 2CSCh. 6.S - Prob. 1.1VCCh. 6.S - Prob. 1.2VCCh. 6.S - Prob. 1.3VCCh. 6.S - Prob. 2.1VCCh. 6.S - Prob. 2.2VCCh. 6.S - Prob. 2.3VCCh. 6.S - Prob. 2.4VCCh. 6 - Prob. 1EDCh. 6 - Prob. 1DQCh. 6 - Prob. 2DQCh. 6 - Prob. 3DQCh. 6 - Prob. 4DQCh. 6 - Prob. 5DQCh. 6 - Prob. 6DQCh. 6 - Prob. 7DQCh. 6 - Prob. 8DQCh. 6 - Prob. 9DQCh. 6 - Prob. 10DQCh. 6 - Prob. 11DQCh. 6 - Prob. 12DQCh. 6 - Prob. 13DQCh. 6 - Prob. 14DQCh. 6 - Prob. 15DQCh. 6 - Prob. 16DQCh. 6 - Prob. 17DQCh. 6 - Prob. 18DQCh. 6 - An avant-garde clothing manufacturer runs a series...Ch. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Kathleen McFaddens restaurant in Boston has...Ch. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10PCh. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 1CSCh. 6 - Prob. 2CSCh. 6 - Prob. 3CSCh. 6 - Prob. 1.1VCCh. 6 - Prob. 1.2VCCh. 6 - Prob. 1.3VCCh. 6 - Prob. 1.4VCCh. 6 - Prob. 2.1VCCh. 6 - Prob. 2.2VCCh. 6 - Prob. 2.3VCCh. 6 - Prob. 2.4VCCh. 6 - Prob. 3.1VCCh. 6 - Prob. 3.2VCCh. 6 - Prob. 3.3VCCh. 6 - Prob. 3.4VCCh. 6 - Prob. 3.5VC
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- 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 of 8.00 and a standard deviation of .04. Your desired performance is = 8.0 ± 30, where o = 0.047. Is the following statement true or false? Can Boardman produce the valve within the specified tolerance? (TRUE=yes, it can; FALSE=no, it cannot) O True O Falsearrow_forwardIf a point on a control chart falls outside one of the control limits, this suggests that the process variation is random and should not be investigated . True or falsearrow_forwardIn quality assurance, we use P-charts for discrete defects when there can be more than one defect per unit. True or False. Why?arrow_forward
- The defect rate for your product has historically been about 2.00%. For a sample size of 500, the upper and lower 3-sigma control chart limits are: UCL = (enter your response as a number between 0 and 1, rounded to four decimal places).arrow_forwardA researcher wishes to estimate the proportion of fish in a certain lake that is inedible due to pollution of the lake. How large a sample should be tested in order to be 99% confident that the true proportion of inedible fish is estimated to within 8%?arrow_forwardThe defect rate for your product has historically been about 1.00%. For a sample size of 400, the upper and lower 3-sigma control chart limits are: UCL, = (enter your response as a number between 0 and 1, rounded to four decimal places). р LCL, = (enter your response as a number between 0 and 1, rounded to four decimal places).arrow_forward
- A process has a sigma=rating of 3.35-o. Fraction defective for the process is P(Z Z (UTL)). What is the value of Z (LTL)?arrow_forwardLinda 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).arrow_forwardThe overall average of a process you are attemptingto monitor at Gihan Edirisinghe Motors is 75 units. The processstandard deviation is 1.95, and the sample size is 11 = 10. Whatwould be the upper and lower control limits for a 3-sigma controlchart?arrow_forward
- Control charts for X-bar and R are maintained for the tensile strength of fibers used in composite materials. The specifications are 440+40. After 36 samples of size n=7 are analyzed, we find that: 36 36 X¡ = 12,870 Ri = 1,350 i=1 What are the limits of the X-bar chart? UCL=442.86 and LCL=415.14 UCL=531.43 and LCL=498.17 UCL=415.18 and LCL=389.19 UCL=373.21 and LCL=341.79 UCL=335.89 and LCL=307.61arrow_forwardAn X-bar chart has the following control limits UCL=251.5 and LCL=248.5. The sample size is n=4, the process mean is equal to 250 and the process standard deviation is sigma = 1.0. What is the Cp value ? 0.500 not enough information 0.316 0.408 0.447 0.353arrow_forwardWhich of the following holds the best for a point that is outside the upper control limit of a R- chart Select one: a. should be investigated because an assignable cause of variation might be present b. is an indication that no cause of variation is present c should be ignored unless another point is outside that limit d. should be ignored because it signifies better than average qualityarrow_forward
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