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# Robot Welder: Statistic

When the robot welder is functioning properly, the natural gas cylinders being produced have an average burst strength of 3400 psi, with a standard deviation of 100 psi. Determine the centerline and the upper and lower control limits for a 3-sigma mean control chart in which each sample consists of 4 cylinders.

20.42

Samples of 12-volt batteries are taken at 30 minutes intervals during a production run. Each sample consists of 3 batteries, and a technician records how long each battery will produce-400 amperes during a standard test. Given the following data, construct a 3-sigma mean, range control charts, and evaluate whether the process is in control.

Minutes
13.3
9.4
12.1
12.2
13.4
8.5
11.2
8.2
9.2
7.8
9.7
10.0
10.1
11.4
13.8
9.9
11.7
8.5

Sample Battery1 Battery2 Battery3
1 13.3 9.4 12.1
2 12.2 13.4 8.5
3 11.2 8.2 9.2
4 7.8 9.7 10.0
5 10.1 11.4 13.8
6 9.9 11.7 8.5

#### Solution Summary

This solution provides step by step calculations for statistics questions.

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