EBK MANUFACTURING ENGINEERING & TECHNOL
7th Edition
ISBN: 8220100793431
Author: KALPAKJIAN
Publisher: PEARSON
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Chapter 36, Problem 4RQ
Define standard deviation. Why is it important in manufacturing?
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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?
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.
For the Given values of 74.7, 72.1, 76.9, 77.1,
84.6 ,Calculate (i) Mean (ii)Algebraic Sum of
deviation (iii) Variance (iv)Standard Deviation.
i) Mean =
ii) Sum of Deviation=
iii) Variance =
iv) Standard Deviation =
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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- 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 +10arrow_forwardTest 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_forwardNeed answer as soon as possiblearrow_forward
- What is the need for calibration of instruments? Write the steps followed in industries for calibrationarrow_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_forwardA manufacturing plant produces a product whose mass follows a normal distribution with mean of 2.9 kg and a standard deviation of 0.4 kg. a) What is the probability that one such product pulled at random has a mass less than 2.0 kg? P(x 3.5)=arrow_forward
- If you were to multiply each value in a data set by 6, what effect would this have on data set's standard deviation? A The standard deviation would be decreased by 6. The standard deviation would not change. The standard deviation would also be multiplied by 6. D The standard deviation would be increased by 6.arrow_forwardDo in a minutearrow_forwardTwo machines are currently in use in a process at a local manufacturing plant. The standards for this process are LSL = .400 and USL=.403. Machine One is currently producing with mean =.401 and a standard deviation= .0004. Machine Two is currently producing with mean = .4015 and a standard deviation = .0005. Which of the two machines is capable based on the capability index?arrow_forward
- A student measures a quantity many times and calculates his mean as µ = 23 and his standard deviation as σ = 1. (a) What fraction of his readings would you expect to find between: (i) 22 and 24? (ii) 22.5 and 23.5? (iii) 20 and 25? (iv) 24 and 25? (b) What is the probability that some of his measurements will be less than 20.6?arrow_forwardCalculate the average fall time and standard deviation using the data above. Average - 1.5s Stdev- 1.85s Use the average fall time and one of the kinematic equations to determine the height of the building. Add the standard deviation from step 1 to the average fall time from step 2. This represents a “maximum fall time.” Use this time to calculate the “maximum” height of the building.arrow_forward1.Calculate Mean ,Median ,standard deviation and variance for measurement sets A, B and C SET A :398 ,420, 394, 416, 404, 408 ,400, 420 ,396, 413 ,430. • SET B:409 406 402 407 405 404 407 404 407 407 408 SET C:409 406 402 407 405 404 407 404 407 407 408 406 410 406 405 408 406 409 406 405 409 406 407arrow_forward
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