True or False: Please explain why A Hotelling's T2 control chart is used to monitor processes...

True or False: Please explain why

A Hotelling's T2 control chart is used to monitor processes with short production runs

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Expert Solution

It is true that Hotelling's T2 control chart is used to monitor processes with short production runs.

A control chart is an effective Statistical Process Control (SPC) tool that is widely adopted in the process and service industries to monitor changes in a process over time and increase productivity. The main purpose of a control chart is to identify the occurrence of assignable causes in a production system so that corrective actions can be taken well in time to eliminate them before the production of nonconforming units.

Short production runs are common in enterprises that require a high degree of flexibility and variety in manufacturing processes. Fixed sample size (FSS) and variable sample size (VSS) Hotelling's T 2 charts are designed to monitor the process mean when the production horizon is finite. The VSS T 2 short-run chart performs well in swiftly detecting various mean shifts in comparison with the FSS T 2 short-run chart. Additionally, the VSS T 2 short-run chart is superior to the FSS T 2 short-run chart, in terms of the truncated standard deviation of the run length, expected truncated standard deviation of the run length, probability that the chart signals an alarm within the I inspections, ie, P(I) and expected P(I).

In precise, Hotelling's T 2 charts explains the process mean shifts in short production runs better compared to other charts.

orchestra answered 1 year ago

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