A Random Sample of Nine Cast Aluminum Pots Is Taken

question 133

Essay

A random sample of nine cast aluminum pots is taken from a production line once every hour. The interior diameter of the pots is measured and the sample mean is calculated. The target for the diameter is 12 inches and the standard deviation for the pot diameter is 0.05 inches.
Assume the pot diameter is normally distributed.
A) Construct the centerline and the upper and lower control limits for the chart.
B) The means of the samples for a given eight-hour day are
12.01 12.06 11.97 12.08 11.92 11.95 11.97 12.04.
Plot these values on the chart.
C) Does it appear that the process is under control? Explain.

• A) Construct the centerline and the upper and lower control limits for the chart.
• B) The means of the samples for a given eight-hour day are 12.01 12.06 11.97 12.08 11.92 11.95 11.97 12.04. Plot these values on the chart.
• C) Does it appear that the process is under control? Explain.

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Definitions:

Medication

Drugs or other substances used to treat, prevent, or diagnose illness and improve health.

Financial Assistance

Monetary support provided to individuals or organizations, often aimed at alleviating poverty or facilitating access to services.

User Cost

The expense of utilizing a good or service, including opportunity costs and depreciation.

Slippery Slope

A logical fallacy that argues a relatively small first step leads to a chain of related events culminating in some significant effect, often used as a form of argument to caution against a course of action.