INTRO. STATISTICAL QUALITY CONTROL
13th Edition
ISBN: 9781118909447
Author: Montgomery
Publisher: WILEY
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Chapter 1, Problem 27DQE
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Question 1
The data shown in Table 1 are and R values for 24 samples of size n = 5 taken from a process producing
bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals
recorded (i.e., 34.5 should be 0.50345).
Table 1: Bearing Diameter Data
Sample Number
I
R
Sample Number
I R
1
34.5
3
13
35.4
8
2
34.2
4
14
34.0
6
3
31.6
4
15
37.1
5
4
31.5
4
16
34.9
7
5
35.0
5
17
33.5
4
6
34.1
6
18
31.7
3
7
32.6
4
19
34.0
8
8
33.8
3
20
35.1
9
34.8
7
21
33.7
2
10
33.6
8
22
32.8
1
11
31.9
3
23
33.5
3
12
38.6 9
24
34.2
2
(a) Set up and R charts on this process. Does the process seem to be in statistical control? If necessary,
revise the trial control limits. [15 pts]
(b) If specifications on this diameter are 0.5030±0.0010, find the percentage of nonconforming bearings pro-
duced by this process. Assume that diameter is normally distributed. [10 pts]
1
4. (5 pts) Conduct a chi-square contingency test (test of independence) to assess whether
there is an association between the behavior of the elderly person (did not stop to talk,
did stop to talk) and their likelihood of falling. Below, please state your null and
alternative hypotheses, calculate your expected values and write them in the table,
compute the test statistic, test the null by comparing your test statistic to the critical
value in Table A (p. 713-714) of your textbook and/or estimating the P-value, and
provide your conclusions in written form. Make sure to show your work.
Did not stop walking to talk
Stopped walking to talk
Suffered a fall
12
11
Totals
23
Did not suffer a fall | 2
Totals
35
37
14
46
60
T
Chapter 1 Solutions
INTRO. STATISTICAL QUALITY CONTROL
Ch. 1 - Why is it difficult to define quality?Ch. 1 - Briefly discuss the eight dimensions of quality....Ch. 1 - Is there a difference between quality for a...Ch. 1 - Can an understanding of the multidimensional...Ch. 1 - What are the internal customers of a business? Why...Ch. 1 - Is the Deming philosophy more or less focused on...Ch. 1 - What is the Juran Trilogy?Ch. 1 - What are the three primary technical tools used...Ch. 1 - Distinguish among quality planning, quality...Ch. 1 - What is the Malcolm Baldrige National Quality...
Ch. 1 - Who was Walter A. Shewhart?Ch. 1 - What is meant by the cost of quality?Ch. 1 - Are internal failure costs more or less important...Ch. 1 - What is a Six Sigma process?Ch. 1 - Discuss the statement Quality is the...Ch. 1 - Compare and contrast Demings and Jurans...Ch. 1 - What would motivate a business to compete for the...Ch. 1 - What are the three components of the ISO 9000:2005...Ch. 1 - Explain why it is necessary to consider...Ch. 1 - Reconsider the fast-food restaurant visit...Ch. 1 - What is the Toyota Production System?Ch. 1 - What were Henry Fords contributions to quality?Ch. 1 - What are the objectives of a supplier development...
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