Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 36, Problem 33QTP
Assume that in Example 36.3 the number of samples was 8 instead of 10. Using the top half of the data in Table 36.3, recalculate the control limits and the standard deviation. Compare your observations with the results obtained by using 10 samples.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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?
Suppose you have conducted 25 measurements of a random variable (Temperature) and obtained the following data in Table 2 below:
Calculate the sample mean temperature, standard deviation, and standard deviation of the means of these temperature measurements.
Estimate 95% confidence interval for true mean temperature.
Determine the range within which the true mean temperature exists at a 95% confidence level based on this finite dataset
A random sample of 83 reconstructed clay vessels from the Turquoise Ridge archaeological site indicated the standard deviation of
diameters to be approximately 5.5 cm. How many more such clay vessels must be found and reconstructed to be 95% sure that the
sample mean of diameters is within 1 cm of the population mean of all such reconstructed clay vessels at this archaeological site?
Chapter 36 Solutions
Manufacturing Engineering & Technology
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...
Knowledge Booster
Learn more about
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
- For the Given values of 56, 61.6, 50.2, 60.8 and 56.8 , Calculate (i) Mean (ii)Algebraic Sum of deviation (iii)Variance (iv)Standard Deviation. i) Mean = Answer for part 1 ii) Sum of Deviation= Answer for part 2 iii) Variance = Answer for part 3 iv) Standard Deviation =arrow_forwardA 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_forwardBolts installed on a production line are tightened with automatic wrenches. They are to be tightened sufficiently to yield the full cross-section in order to produce the highest possible initial tension. The limiting condition is twisting off the bolt head during assembly. The bolts have a mean twisting off torque of 20 Nm with a standard deviation of 1 Nm. The automatic wrenches have a standard deviation of 1.5Nm. What mean value of torque wrench setting would result in only 1 in 500 twisting off during assembly? Give a rough estimate only. A unit has a constant failure rate of 0.3% per 1000 hours. What is its MTBF? What are the probabilities of the unit successfully completing missions of 10000, 100000 and 1000000 hours? Give a rough estimate only.arrow_forward
- One 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_forwardSam's Long Life 75-watt light bulbs are designed to have a life of 1,150 hours with tolerances of ±205 hours. The process that makes light bulbs has a mean of 1,040 hours, with a standard deviation of 55 hours. Compute the process capability ratio and the process capability index, and comment on the overall capability of the process. (Round answers to 2 decimal places, e.g. 2.75.)arrow_forwardThe 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 +10arrow_forward
- Fill in the blanks: On a particular day a random sample of 12 tins of peas is taken from the output of a canning factory and their contents are weighed. The mean and standard deviation of the weight for the sample are 301.8 gm and 1.8 gm respectively. Find 99% confidence limits for the mean weight of peas in tins produced by the factory on the day in question. use 3 decimal places E = Lower limit? Upper limit?arrow_forwardTesting and Rework Bolts installed on a production line are tightened with automatic wrenches. They are to be tightened sufficiently to yield the full cross-section in order to produce the highest possible initial tension. The limiting condition is twisting off the bolt head during assembly. The bolts have a mean twisting off torque of 20 Nm with a standard deviation of 1 Nm. The automatic wrenches have a standard deviation of 1.5Nm. What mean value of torque wrench setting would result in only 1 in 500 twisting off during assembly? Give a rough estimate only. A unit has a constant failure rate of 0.3% per 1000 hours. What is its MTBF? What are the probabilities of the unit successfully completing missions of 10000, 100000 and 1000000 hours? Give a rough estimate only. Please provide an in depth answer for the above questions, thank you so much!arrow_forwardA manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 12 kilograms. To test this claim, 50 pieces of each type of thread were tested under similar conditions. Type A thread had an average tensile strength of 86.7 kilograms with a standard deviation of 6.28 kilograms, while type B thread had an average tensile strength of 77.8 kilograms with a standard deviation of 5.61 kilograms. Test the manufacturer’s claim using a 0.05 level of significance. 1. Determine the Z calculated in two decimal places. 2. Determine the Z table in two decimal places. 3. Is the manufacturing claim statistically valid? yes or noarrow_forward
- For the Given values of 73.6, 84.6, 71.2, 76.6, 72.5,Calculate (1) Mean (ii)Algebraic Sum of deviation (iii)Variance (iv)Standard Deviation. i) Mean = ii) Sum of Deviation= iii) Variance = iv) Standard Deviation =arrow_forward4.1. A random sample size, n, is to be taken from a 4.6. large population having a standard deviation of 1". The sample size is to be determined so that there will be a .05 risk probability of exceeding a 0.1" tolerance error in using the sample mean to estimate u. Which of the following values is nearest the required sample size? 4.3. a. 42 b. 106 4.2. Assume that equipment A has a mean life of 100 hours and an exponential distribution of times to failure. Another system, equipment B has a normal distribution of times to failure with a mean of 100 hours and a standard deviation of 40 hours. If one or more of the systems is to be used for a 10 hour mission and the probability of non-failure during the mission must be estimated for each system, one will find that: 4.4. c. 203 d. 384 a. Equipment A has a higher probability of success b. Equipment B has a higher probability of success c. Equipment A and B have the same. probability of success d. Insufficient information exists to answer…arrow_forwardA value has been measured by Instrument A 33 times with a standard deviation of 4.3. Another value has been measured 7 times with Instrument B. Within what range will the standard deviation of the Instrument B observation have to fall to be considered equivalent quality at a 95% confidence level? Hint: Use the F-Distribution.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
What is Metrology in Mechanical Engineering? | Terminologies & Measurement; Author: GaugeHow;https://www.youtube.com/watch?v=_KhMhFRehy8;License: Standard YouTube License, CC-BY