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Calculations for Upper and Lower Control Limits

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(Problem attached in excel file)

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 in " R in "
1 3.25 0.71
2 3.1 1.18
3 3.22 1.43
4 3.39 1.26
5 3.07 1.17
6 2.86 0.32
7 3.05 0.53
8 2.65 1.13
9 3.02 0.71
10 2.85 1.33
11 2.83 1.17
12 2.97 0.4
13 3.11 0.85
14 2.83 1.31
15 3.12 1.06
16 2.84 0.5
17 2.86 1.43
18 2.74 1.29
19 3.41 1.61
20 2.89 1.09
21 2.65 1.08
22 3.28 0.46
23 2.94 1.58
24 2.64 0.97
Develop appropriate control limits and determine whether there is any cause for concern in the cutting process.

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