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1. Ross Hopkins is attempting to monitor a filling process that has an overall average of 705 cc. The average range is 6 cc. If you use a sample size of 10, what are the upper and lower control limits for the mean and range?
2. Sampling four pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results:
HOUR
x-
R
1
3.25*
.71*
13
3.11*
.85*
2
3.10
1.18
14
2.83
1.31
3
3.22
1.43
15
3.12
1.06
4
3.39
1.26
16
2.84
.50
5
3.07
1.17
17
2.86
6
.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
9
3.02
.71
21
1.08
10
2.85
1.33
22
3.28
.46
11
23
2.94
1.58
12
2.97
.40
24
2.64
.97
Develop appropriate control charts and determine whether there is any cause for concern in the cutting process. Plot the information and look for patterns.
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