At Becta's Computer Manufacturing, the production team sampled four pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours; The following are the results produced (measured in cm): Hour xBar R Hour xBar R 1 3.25 .71 13 3.11 .85 2 3.1 1.18 14 2.83 1.31 3.22 1.43 15 3.12 1.06 4 3.39 1.26 16 2.84 .5 5 3.07 1.17 17 2.86 1.43 6. 2.86 .32 18 2.74 1.29 7 3.05 .53 19 3.41 1.61 8 2.65 1.13 20 2.89 1.09 3.02 .71 21 2.65 1.08 10 2.85 1.33 22 3.28 .46 11 2.83 1.17 23 2.94 1.58 12 2.97 .4 24 2.64 97 3. 00

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question

(a) Label and compute the necessary data needed to calculate the upper and lower limits for the xBar and the R charts.

(b) Develop the xBar and the R charts.

(c) Plot the information and look for patterns. Determine and explain whether there is any cause for concern in the cutting process.

At Becta's Computer Manufacturing, the production team sampled four pieces of precision-cut wire (to be used
in computer assembly) every hour for the past 24 hours; The following are the results produced (measured in
cm):
Hour
хBar
Hour
хBar
R
1.
3.25
.71
13
3.11
.85
3.1
1.18
14
2.83
1.31
3.22
1.43
15
3.12
1.06
4
3.39
1.26
16
2.84
.5
3.07
1.17
17
2.86
1.43
2.86
.32
18
2.74
1.29
7
3.05
.53
19
3.41
1.61
2.65
1.13
20
2.89
1.09
3.02
.71
21
2.65
1.08
10
2.85
1.33
22
3.28
.46
11
2.83
1.17
23
2.94
1.58
12
2.97
.4
24
2.64
.97
2.
6.
00
Transcribed Image Text:At Becta's Computer Manufacturing, the production team sampled four pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours; The following are the results produced (measured in cm): Hour хBar Hour хBar R 1. 3.25 .71 13 3.11 .85 3.1 1.18 14 2.83 1.31 3.22 1.43 15 3.12 1.06 4 3.39 1.26 16 2.84 .5 3.07 1.17 17 2.86 1.43 2.86 .32 18 2.74 1.29 7 3.05 .53 19 3.41 1.61 2.65 1.13 20 2.89 1.09 3.02 .71 21 2.65 1.08 10 2.85 1.33 22 3.28 .46 11 2.83 1.17 23 2.94 1.58 12 2.97 .4 24 2.64 .97 2. 6. 00
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