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A Quality Analyst Wants to Construct a Sample Mean Chart

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A quality analyst wants to construct a sample mean chart for controlling a packaging process.He knows from past experience that when the process is operating as intended,packaging weight is normally distributed with a mean of twenty ounces,and a process standard deviation of two ounces.Each day last week,he randomly selected four packages and weighed each.The data from that activity appear below.
A quality analyst wants to construct a sample mean chart for controlling a packaging process.He knows from past experience that when the process is operating as intended,packaging weight is normally distributed with a mean of twenty ounces,and a process standard deviation of two ounces.Each day last week,he randomly selected four packages and weighed each.The data from that activity appear below.    (a)If he sets an upper control limit of 21 and a lower control limit of 19 around the target value of twenty ounces,the control chart is based on what value of z? (b)With the UCL and LCL of part a,what do you conclude about this process-is it in control? (a)If he sets an upper control limit of 21 and a lower control limit of 19 around the target value of twenty ounces,the control chart is based on what value of z?
(b)With the UCL and LCL of part a,what do you conclude about this process-is it in control?


Definitions:

Investment Center

A business unit or department that is responsible for its own revenues, expenses, and investment in assets, with its performance measured by its return on investment.

Controllable Margin

The portion of profit or income directly influenced by the management decisions, typically excluding fixed costs.

Required Return

The minimum expected return by investors for providing capital, based on the risk of the investment.

Operating Assets

Assets used in the daily operations of a business to generate revenue, such as machinery, building, and equipment.

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