EBK MANUFACTURING ENGINEERING & TECHNOL
7th Edition
ISBN: 8220100793431
Author: KALPAKJIAN
Publisher: PEARSON
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Textbook Question
Chapter 36, Problem 32QTP
Beverage-can manufacturers try to achieve failure rates of less than one can in ten thousand. If this corresponds to n-sigma quality, find n.
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(b) 2000 light bulbs were tested by the manufacturer. After 500 hours of testing, it was
found that 5 out of all the light bulbs subjected to testing have failed. Strict quality
control has been implemented to eliminate premature failures. Assume the light bulb
has a constant failure rate. What is the failure rate, Mean Time Before Failure (MTBF)
and the reliability of the light bulb after 500 hours?
l vang
5 In a stop watch time study, the actual readings in minutes, recorded for an element are:
0.05, 0.06, 0.05, 0.05, 0.05, 0.06, 0.06, 0.05, 0.06, 0.06, 0.06, 0.06, 0.05, 0.05, 0.06
and 0.05
) Have sufficient number of readings.been taken for 95% confidence level and
±5% accurancy?
(ii) If the rating is 120% what would be the normal time for element?
The data shown in Table 1 are the deviations from nominal diameter for holes drilled in a
carbon-fiber composite material used in aerospace manufacturing. The values reported are
deviations from nominal in ten-thousandths of an inch.
(a) Set up and R charts on the process. Is the process in statistical control?
(b) Estimate the process standard deviation using the range method.
(c) If specifications are at nominal ±100, what can you say about the capability of this
process? Calculate the PCR Cp
Table 1. Hole Diameter Data
Sample
Number X1 X2
1
2
3
4
5
6
7
8
9
10
11
12
14
15
16
17
18
19
20
-30 +50
0
-50
-10 -10
+20
-40
0
0
-30
0
+20
0
0
+70
0
+10
+40
+30
+30
+30
+10
0
+20
+50
+50
-20
+50 -60
+10
0
0
+20
+10 -20
-10
0
+20
X3 X4 X5
-30
+20
+30
+50
+40
+20
+30
+20
+30
+20
+30
0
+20
+10 +40
+10 +10
-10 +50
-10 -30
-10
+50
+40
0
+30
-10
0
+30
+30
-20
+50 +30 +10
+40
+20
0 +30
+10 +30
-20 +30
+30
+20
-20 +50
+20
+10
-40 +20
-20
-10
-10
0
-20
+10
+10 +50
0
+10
Chapter 36 Solutions
EBK MANUFACTURING ENGINEERING & TECHNOL
Ch. 36 - Define the terms sample size, random sampling,...Ch. 36 - What are chance variations?Ch. 36 - Prob. 3RQCh. 36 - Define standard deviation. Why is it important...Ch. 36 - Describe what is meant by statistical process...Ch. 36 - When is a process out of control? Explain.Ch. 36 - Explain why control charts are developed. How...Ch. 36 - What is a loss function? How is it used?Ch. 36 - What do control limits indicate?Ch. 36 - Prob. 10RQ
Ch. 36 - What is acceptance sampling? Why was it developed?Ch. 36 - Prob. 12RQCh. 36 - What is meant by six-sigma quality?Ch. 36 - Prob. 14RQCh. 36 - Prob. 15RQCh. 36 - Give three methods of nondestructive testing...Ch. 36 - Explain why major efforts are continually being...Ch. 36 - Prob. 18QLPCh. 36 - Prob. 19QLPCh. 36 - Prob. 20QLPCh. 36 - Prob. 21QLPCh. 36 - Prob. 22QLPCh. 36 - What are the advantages of automated...Ch. 36 - Prob. 24QLPCh. 36 - Prob. 25QLPCh. 36 - Explain why GO and NOT GO gages (see Section...Ch. 36 - Prob. 27QLPCh. 36 - Prob. 28QLPCh. 36 - Prob. 29QLPCh. 36 - Prob. 31QLPCh. 36 - Beverage-can manufacturers try to achieve failure...Ch. 36 - Assume that in Example 36.3 the number of samples...Ch. 36 - Calculate the control limits for averages and...Ch. 36 - Calculate the control limits for (a) number of...Ch. 36 - In an inspection with a sample size of 12 and a...Ch. 36 - Prob. 37QTPCh. 36 - The average of averages of a number of samples of...Ch. 36 - Prob. 39QTPCh. 36 - Prob. 40QTPCh. 36 - Prob. 41SDPCh. 36 - Describe your thought on whether products should...Ch. 36 - Prob. 44SDPCh. 36 - Prob. 45SDPCh. 36 - Prob. 46SDPCh. 36 - Prob. 47SDPCh. 36 - Prob. 48SDPCh. 36 - Many components of products have a minimal effect...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A work measurement analyst at the Dorben Company took 10 observations of a high-production job. He rated the performance of each cycle and then calculated the average normal time for each item. The item with the largest dispersion had a mean of 0.30 minutes and a standard deviation of 0.03 minutes. If it is desired to have sample data within ±5% of the actual data, how many observations should the time study analyst take of this operation?arrow_forwardA critical part has a manufacturing specification of 4.5 cm ± 0.10. If this measurement is larger than 4.6 or smaller than 4.4, the product fails at a cost of $150.a. Calculate the k value for Taguchi loss function. What is the Taguchi loss function for this part?b. Using the above Taguchi loss function, determine the estimated loss for when the actual part dimension is 4.46 cm.arrow_forward23 In manufacturing process, Cost and Quality are directly related. Select one: True Falsearrow_forward
- A multinational business unit has an examination system for the batches of ventilator units bought from dealers. A batch typically comprises 40 ventilators. In the inspection system, a random sample of 20 is selected and all are tested. Suppose there are 5 faulty ventilators in the batch of 40. What is the probability that for a given sample there will be 2 faulty ventilator?arrow_forwardOne step in the manufacture of a certain metal clamp involves the drilling of four holes. In a sample of 100 clamps, the average time needed to complete this step was 80seconds and the standard deviation was 15 seconds. a.Find a 95% confidence interval for the mean time needed to complete the step. b.Find a 99.5% confidence interval for the mean time needed to complete the step. c.What is the confidence level of the interval (78,82)? d.How many clamps must be sampled so that a 95% confidence interval specifiesthe mean to within ±1 seconds? e. How many clamps must be sampled so that a 99.5% confidence interval specifies the mean to within ±1 seconds?arrow_forwardGive a definition for each term: standard deviation, calibration, uncertainty.arrow_forward
- 1. The mean and standard deviation of a process are known to be μ 200 and o = 10. Calculate specification limits that should contain at least 99% of the population assuming: a. Nothing is known about the distribution shape (Cheyshev). b. The distribution is unimodal (Camp-Meidell). c. The distribution is normal.arrow_forwardExample 10: An engineering in PVC pipe factory wishes to select a pipe bearing pressure in the middle 60%. If the mean hydraulic pressure is 120 and the standard deviation is 8, find the upper and lower pressure that meet the requirement.arrow_forward6. What are the main activities involved in Quality Planning, Quality Assurance, Quality Control and Quality Improvement?arrow_forward
- Test tube level indicator length is the quality characteristic of interest. 28 samples with sample size of 4 each, are chosen from the process. The data yields an average length of 11 cm and process standard deviation of 4 cm. What is the probability of having the length between 9 and 12 cm?arrow_forwarddefects minimize 1 2 4. 3.arrow_forwardA company uses exponential smoothing with trend toforecast monthly sales of its product, which show a trend pattern.At the end of week 5, the company wants to forecast sales for week6. Th e trend through week 4 has been 20 additional cases sold perweek. Average sales have been 85 cases per week. The demand forweek 5 was 90 cases. Th e company uses α = 0.20 and β = 0.10.Make a forecast including trend for week 6arrow_forward
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Quality Control and Quality Assurance; Author: AISC Education;https://www.youtube.com/watch?v=C2PFj9YZ_mw;License: Standard Youtube License