Problem 1 -
Zipper Products, Inc., produces granola cereal, granola bars, and other natural food products. Its granola cereal is sampled to ensure proper weight. Each sample contains eight boxes of cereal. The overall average for the samples is 17 ounces. The range is only 0.5 ounce. Determine the upper and lower control-chart limits for averages for the boxes of cereal.
Problem 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"
|
0.71"
|
13
|
3.11"
|
0.85"
|
|
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
|
0.50
|
|
5
|
3.07
|
1.17
|
17
|
2.86
|
1.43
|
|
6
|
2.86
|
0.32
|
18
|
2.74
|
1.29
|
|
7
|
3.05
|
0.53
|
19
|
3.41
|
1.61
|
|
8
|
2.65
|
1.13
|
20
|
2.89
|
1.09
|
|
9
|
3.02
|
0.71
|
21
|
2.65
|
1.08
|
|
10
|
2.85
|
1.33
|
22
|
3.28
|
0.46
|
|
11
|
2.83
|
1.17
|
23
|
2.94
|
1.58
|
|
12
|
2.97
|
0.40
|
24
|
2.64
|
0.97
|
Develop appropriate control limits and determine whether there is any cause for concern in the cutting process.