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
|
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
|
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
|
|
9
|
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
|
.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.