Operations Management
2nd Edition
ISBN: 9781260484687
Author: CACHON, Gerard
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 9, Problem 4CQ
Summary Introduction
To determine: Whether the given information is true or false.
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Five data entry operators work at the data processing department of the Birmingham
Bank. Each day for 30 days, the number of defective records in a sample of 250
records typed by these operators has been noted, as follows:
Sample
No.
12
2
3
4
5
6
7
8
9
10
No.
Defectives
8
5
18
9
18395
10
14
Sample
No.
11
12
13
14
15
16
17
18
19
20
No.
Defectives
7
4
a) Establish 30 upper and lower control limits.
54697496
15
10
11
19
16
Sample
No.
21
222222NERS
23
24
25
26
27
28
29
30
No.
Defectives
16
12
8726668
12
11
13
6,
12
UCLp = (enter your response as a number between 0 and 1; rounded to
three decimal places).
At Gleditsia Triacanthos Company, a certain manufactured part is deemed acceptable if its length
is between 12.45 to 12.55 inches. The process is normally distributed with an average of 12.49
inches and a standard deviation of 0.014 inches. a) is the process capable of meeting specifications? b) Does the process meet specifications?
A 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%?
Chapter 9 Solutions
Operations Management
Ch. 9 - Prob. 1CQCh. 9 - Prob. 2CQCh. 9 - Prob. 3CQCh. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - Prob. 8CQCh. 9 - Prob. 9CQCh. 9 - Prob. 10CQ
Ch. 9 - Prob. 11CQCh. 9 - Prob. 12CQCh. 9 - Prob. 13CQCh. 9 - Prob. 14CQCh. 9 - Prob. 15CQCh. 9 - Prob. 16CQCh. 9 - Prob. 17CQCh. 9 - Prob. 18CQCh. 9 - Prob. 1PACh. 9 - Prob. 2PACh. 9 - Prob. 3PACh. 9 - Prob. 4PACh. 9 - Prob. 5PACh. 9 - Prob. 6PACh. 9 - Prob. 7PACh. 9 - Prob. 8PACh. 9 - Prob. 9PACh. 9 - Prob. 10PACh. 9 - Prob. 11PACh. 9 - Prob. 12PACh. 9 - Prob. 2.1CCh. 9 - Prob. 2.2C
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- NanosElectron, Inc. manufactures 75,000 circuit boards per month. A random sample of 800 boards is inspected every week for three characteristics. During a recent week, four defects were found for one characteristic, two defects were found for another characteristic, and one defect was found for the third characteristic. If these inspections produced defect counts that were representative of the population, what is the overall sigma level for this process? What is the sigma level for the characteristic that showed four defects?arrow_forwardFrom a perspective of Statistical Process Control (SPC), a six-sigma process will have which of the following attributes? a The USL and LSL will be separated by a distance of six sigma b The process center will be aligned with the LSL c The number of defects produced by the process will be 0.0018 parts per million d All of the abovearrow_forwardK The overall average on a process you are attempting to monitor is 60.0 units. The process population standard deviation is 1.72. Sample size is given to be 4. a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCL) = Lower Control Limit (LCL) = b) Now determine the 2-sigma x-chart control limits. Upper Control Limit (UCL) = Lower Control Limit (LCL) = units (round your response to two decimal places). units (round your response to two decimal places). units (round your response to two decimal places). units (round your response to two decimal places).arrow_forward
- Find the required probability for the area to the left of X = 42, under normal curve with mean = 40 and standard deviation = 2.2847. (Round to two decimals) 0.63 0.81 0.83 0.79arrow_forwardAt Gleditsia Triacanthos Company, a certain manufactured part is deemed acceptable if its lengthis between 12.45 to 12.55 inches. The process is normally distributed with an average of 12.49inches and a standard deviation of 0.014 inches. A) Is the process capable of meeting specifications? B) Does the process meet specifications?arrow_forwardJanice Sanders, CEO of Pine Crest Medical Clinic, is concerned over the number of times patients must wait more than 30 minutes beyond their scheduled appointments. She asked her assistant to take random samples of 64 patients to see how many in each sample had to wait more than 30 minutes. Each instance is considered a defect in the clinic process. The table below contains the data for 15 samples.Sample Number of Defects1 52 23 14 35 16 57 28 3 9 6 10 3 11 9 12 9 13 5 14 2 15…arrow_forward
- AccuSound Corporation manufactures printed circuits for stereo amplifiers. A common product defect is a “drift” caused by failure to maintain precise heat levels during the production process. Rejects from the 100 percent testing program can be reworked to acceptable levels if the defect is drift. However, in a recent analysis of customer complaints, Marie Allen, the assistant controller, and the quality control engineer determined that normal rework does not bring the circuits up to standard. Sampling showed that about half of the reworked circuits will fail after extended amplifier operation. The incidence of failure in the reworked circuits is projected to be about 10 percent over five years. Unfortunately, there is no way to determine which reworked circuits will fail, because testing will not detect the problem. The rework process could be changed to correct the problem, but the cost-benefit analysis for the suggested change indicates that it is not economically feasible.…arrow_forwardTwelve 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 Sample Mean (in.) Range (in.) Sample Sample Mean (in.) Range (in.) 1 11.404 0.044 7 11.403 0.021 2 11.400 0.051 8 11.407 0.058 3 11.389 0.042 9 11.397 0.039 4 11.406 0.037 10 11.403 0.038 5 11.395 0.048 11 11.401 0.054 6 11.397 0.053 12 11.406 0.061 Part 2 For the given data, the x = enter your response here inches (round your response to four decimal places). The control limits for the 3-sigma R-chart are (round all intermediate calculations to three decimal places before…arrow_forwardAuto 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= 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 4.3arrow_forward
- C-Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 4 ± .003 inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches witha standard deviation of .002 inch. (Answer in Appendix D)a. Calculate the Cpk for this machine.b. Should C-Spec use this machine to produce this part? Why?arrow_forwardThe x-bar chart tests the change in the number of defective items in a given sample O a. TRUE O b. FALSE IS PAGE acer F2 F3 F4 F5 F6 F7 F8 Coca) F9 F10 F11 DIO 2$ 70 &arrow_forwardA process that produces computer chips has a mean of .04 defective chip and a standard deviationof .003 chip. The allowable variation is from .03 to .05 defective.a. Compute the capability index for the process.b. Is the process capable?arrow_forward
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