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A Foreman Wants to Use An Xˉ\bar { X } Chart to Control the Average Length of the Bolts Manufactured

question 88

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A foreman wants to use an Xˉ\bar { X }
Chart to control the average length of the bolts manufactured.He has recently collected the six samples given below.  Sample 11.992.012.022.0222.002.002.012.0131.981.992.011.9842.012.022.021.9951.991.992.011.9962.031.982.032.04\begin{array} { c c c c c } \text { Sample } & & & & \\1 & 1.99 & 2.01 & 2.02 & 2.02 \\2 & 2.00 & 2.00 & 2.01 & 2.01 \\3 & 1.98 & 1.99 & 2.01 & 1.98 \\4 & 2.01 & 2.02 & 2.02 & 1.99 \\5 & 1.99 & 1.99 & 2.01 & 1.99 \\6 & 2.03 & 1.98 & 2.03 & 2.04\end{array}
Determine the LCL and the UCL for the R chart.


Definitions:

Components In Series

An electrical configuration where components are connected along a single path, so the same current flows through all of them.

Preventive Maintenance

Routine maintenance, inspections, and servicing performed on equipment, machinery, or systems to prevent unexpected failures or breakdowns.

Product Reliability

The likelihood that a product will perform its intended function without failure over a specified period.

Accelerated Testing

A testing methodology that speeds up the normal use rate of a product to quickly observe potential failures and improve its reliability over its lifetime.

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