# Comparing two x-bar chart designs

Control charts (x-bar chart)

As the SPC expert in your company, you must decide on the design of an X-bar chart to be put out on a milling machine.

From past experience, you know that the process is running with mean = 10 and a standard deviation = 4. (This is the standard deviation of x, not x-bar).

Evaluate the following two candidate X-bar chart designs in terms of alpha, ARL0, beta for the shift indicated, and the resulting ARL1. Perform calculations on the blank page that follows. (30 points total)

What are the advantages and disadvantages of each chart? (Just a few sentences)

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#### Solution Preview

2. As the SPC expert in your company, you must decide on the design of an X-bar chart to be put out on a milling machine.

From past experience, you know that the process is running with mean = 10 and a standard deviation = 4. (This is the standard deviation of x, not x-bar).

Evaluate the following two candidate X-bar chart designs in terms of alpha, ARL0, beta for the shift indicated, and the resulting ARL1. ...

#### Solution Summary

In this solution we compare two candidate X-bar chart designs in terms of alpha, ARL0, beta for the shift indicated, and the resulting ARL1. All calculations are shown along with a brief description of the advantages and disadvantages of each chart.