Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Textbook Question
Chapter 36, Problem 4RQ
Define standard deviation. Why is it important in manufacturing?
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Students have asked these similar questions
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.
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
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...
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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
- 2. A schematic representation of basic size and its deviations are given in Fig. below Calculate the following in each case for a shaft of 50 mm basic size: (a) Upper deviation (b) Lower deviation (c) Tolerance (d) Upper limit size (e) Lower limit size +40 +30 +24 +10 0 0 -7 (a) (b) (C) (d) -20 <-40 (e)arrow_forwardFor 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 =arrow_forwardFor 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_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_forwardFor 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_forwardIf there are 10 values each equal to 10. Then standard Deviation of these values is (a) 100 (b) 20 (c) 10 (d) 0arrow_forward
- What is the need for calibration of instruments? Write the steps followed in industries for calibrationarrow_forwardFor the Given values of 72.9, 75.6, 83.8, 84.2, 76.1,Calculate ) Mean (1)Algebraic Sum of deviation (i)Variance (iv)Standard Deviation. i) Mean = ii) Sum of Deviation= iii) Variance = 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_forward
- Sam'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_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_forwardIf 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_forward
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