An extrusion die is used to produce aluminum rods. The
Chapter 15, Problem 7E(choose chapter or problem)
An extrusion die is used to produce aluminum rods. The diameter of the rods is a critical quality characteristic. The following table shows \(\bar{x} \text { and } r\) values for 20 samples of five rods each. Specifications on the rods are \(0.5035 \pm 0.0010 \text { inch }\). The values given are the last three digits of the measurement; that is, 34.2 is read as 0.50342.
(a) Using all the data, find trial control limits for \(\bar{X} \text { and } R\) charts, construct the chart, and plot the data.
(b) Use the trial control limits from part (a) to identify out-of-control points. If necessary, revise your control limits, assuming that any samples that plot outside the control lim-its can be eliminated. Estimate \(\sigma\).
Equation Transcription:
Text Transcription:
\bar x and r
0.5035 \pm 0.0010 inch
\bar X and R
\sigma
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