Question: Learning Activity 7.1: Capability Index Scenario You are sampling your 3-inch bolt production process. You select 30 bolts randomly and measure them. The following table

Learning Activity 7.1: Capability Index
Scenario
You are sampling your 3-inch bolt production process. You select 30 bolts randomly and measure them. The following table contains the results. The specification limits are 3.10" on the upper limit (USL) and 2.90" on the lower limit (LSL). The specified target mean is 3.00".
Using the information provided in the scenario and the table, calculate:
a. The Standard Deviation
b. Cp
Observation Length of Bolt
1 3.16
2 2.81
3 2.93
4 3.08
5 3.46
6 3.26
7 3.27
8 3.2
9 3.09
10 3.36
11 3.44
12 2.73
13 3.28
14 2.99
15 3.32
16 3.48
17 2.89
18 2.8
19 3.22
20 2.65
21 3.18
22 3.4
23 2.72
24 3.13
25 2.88
26 2.95
27 2.86
28 3.44
29 2.58
30 3.33
Specifications
Target 3
USL 3.1
LSL 2.9

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