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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:

Group Size

The number of individuals forming a social group or gathering, which can influence the group's dynamics, interactions, and outcomes.

Specific Purpose

A distinct aim or objective for which something is used, created, or exists.

In-Group

A social group to which a person psychologically identifies as being a member, often characterized by a sense of loyalty and exclusivity.

Secondary Group

A large, impersonal social group whose members pursue a specific goal or activity with little emotional connection among themselves.

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