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The data here consist of 25 samples of 4 observations each on the lengths of particular bolts manufactured for use in a large aircraft. The

The data here consist of 25 samples of 4 observations each on the lengths of particular bolts manufactured for use in a large aircraft. The target length of these bolts is 37 centimeters.

  1. Determine if this process is in statistical control
  2. Given that the tolerance of these bolts is + .01centimeters, determine the sigma level, Cp and Cpk values of this process
Samples Sub 1 Sub 2 Sub 3 Sub 4
1 36.99 37.02 37.04 37.01
2 37.01 37.04 37.03 36.98
3 36.98 37.03 37.03 36.99
4 37.00 37.00 37.00 36.98
5 36.98 36.99 36.99 36.96
6 36.99 36.96 36.94 36.97
7 36.98 36.97 37.01 36.96
8 36.93 36.96 36.96 36.93
9 36.91 36.99 36.95 36.92
10 36.97 36.99 36.95 36.94
11 37.05 37.05 37.05 37.05
12 37.00 37.04 37.11 37.05
13 37.05 37.04 37.06 37.04
14 37.08 37.08 37.03 37.08
15 37.08 36.99 37.07 37.06
16 36.93 36.99 37.03 37.03
17 37.06 36.94 37.06 36.98
18 36.94 36.96 36.96 37.01
19 37.01 36.98 37.03 37.00
20 37.03 37.07 36.99 37.03
21 36.99 36.99 37.01 37.00
22 37.01 37.00 37.00 36.99
23 37.02 37.00 37.00 37.00
24 37.01 37.01 37.00 37.03
25 36.99 37.00 37.00 36.99

Provide answers for below questions:

a . is the process in statistical control?
b. If not in statistical control why?
c. Cp?
d. CpK?
e. Sigma Level?

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