EBK PROBABILITY AND STATISTICS FOR ENGI
EBK PROBABILITY AND STATISTICS FOR ENGI
9th Edition
ISBN: 8220102958432
Author: DEVORE
Publisher: CENGAGE L
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Chapter 16.2, Problem 11E

The accompanying table gives sample means and standard deviations, each based on n = 6 observations of the refractive index of fiber-optic cable. Construct a control chart, and comment on its appearance. [Hint: Σ x ¯ i = 2317.07 and Σsi = 30.34.]

Day x ¯ s
1 95.47 1.3
2 97.38 0.88
3 96.85 1.43
4 96.64 1.59
5 96.87 1.52
6 96.52 1.27
7 96.08 1.16
8 96.48 0.79
9 96.63 1.48
10 96.5 0.8
11 97.22 1.42
12 96.55 1.65
13 97.02 1.28
14 95.55 1.14
15 96.29 1.37
16 96.8 1.4
17 96.01 1.58
18 95.39 0.98
19 96.58 1.21
20 96.43 0.75
21 97.06 1.34
22 98.34 1.6
23 96.42 1.22
24 95.99 1.18
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A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.
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Chapter 16 Solutions

EBK PROBABILITY AND STATISTICS FOR ENGI

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